Answers
Answer:
(-4,-2)
Step-by-step explanation:
To solve this system of equations, we can substitute the expression for y in the second equation:
5x + 2(x+2) = -24
We can then simplify and solve for x:
5x + 2x + 4 = -24
7x = -28
x = -4
We can then substitute this value of x back into the first equation to find the value of y:
y = -4 + 2
y = -2
So the solution of the system of equations is (x, y) = (-4, -2)
Related Questions
*Find the formula of the series 1+2²+3²+4²+....+n²*
Answers
The formula is [tex]\frac{n(n+1)(2n+1)}{6}[/tex]
What are series?
In mathematics, we can describe a series as adding infinitely many numbers or quantities to a given starting number or amount.
We will find the formula as shown as below:
Let [tex]S=1+2^2+3^2+4^2+................+n^2[/tex]
We know [tex](n+1)^3=n^3+3n^2+3n+1[/tex]
[tex](1+1)^3=1^3+3(1)^2+3(1)+1[/tex]
[tex](2+1)^3=2^3+3(2)^2+3(2)+1[/tex]
[tex](3+1)^3=3^3+3(3)^2+3(3)+1[/tex]
.
.
[tex](n+1)^3=n^3+3(n)^2+3(n)+1[/tex]
On adding
[tex]2^3+3^3+4^3......(n+1)^3=(1^3+2^3+3^3+.....+n^3)+3(1^2+2^2+.....+n^2)+3(1+2+3....n)+(1+1+1+....+1)[/tex]
[tex]2^3+3^3+4^3......(n+1)^3-(1^3+2^3+3^3+.....+n^3)=3S+\frac{3n(n+1)}{2}+(1+1+1+....+1)[/tex]
[tex](n+1)^3-1^3=3S+\frac{3n(n+1)}{2} +n[/tex]
[tex]n^3+3(n)^2+3(n)+1-1=3S+\frac{3n(n+1)}{2} +n[/tex]
[tex]2n^3+6n^2+6n=6S+3n^2+3n+2n[/tex]
[tex]6S=2n^3+3n^2+n[/tex]
[tex]6S=2n^2(n+1)+n(n+1)[/tex]
[tex]6S=(n+1)(2n^2+n)[/tex]
[tex]6S=n(n+1)(2n+1)[/tex]
[tex]S=\frac{n(n+1)(2n+1)}{6}[/tex]
Hence, the formula is [tex]\frac{n(n+1)(2n+1)}{6}[/tex]
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ASAAP PLEASE PLEASEPLEASE PLEASE
Answers
2b^3 -5 b^2 +b+2. R 9/ b-4
Use synthetic division
he function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours. Which times and distances are represented by the function? Select three options. The starting distance, at 0 hours, is 300 miles. At 2 hours, the traveler is 725 miles from home. At 2.5 hours, the traveler is still moving farther from home. At 3 hours, the distance is constant, at 875 miles. The total distance from home after 6 hours is 1,062.5 miles.
Answers
The true statements are (b), (d) and (e)
At 2 hours, the traveler is 725 miles from home.At 3 hours, the distance is constant, at 875 miles.The total distance from home after 6 hours is 1,062.5 miles.How to determine the times and distances are represented by the function?From the function, we have the following piecewise function and the domains
D(t) = 300t + 125, 0 ≤ t < 2.5
D(t) = 875, 2.5 ≤ t ≤ 3.5
D(t) = 75t + 612.5, 3.5 < t ≤ 6
When t = 2, we use the domain 0 ≤ t < 2.5
So, we have
D(2) = 300 * 2 + 125
Evaluate the product
D(2) = 600 + 125
Evaluate the sum
D(2) = 725 --- this is true
When t = 3, we use the domain 2.5 ≤ t ≤ 3.5
So, we have
D(t) = 875
This gives
D(3) = 875 -- this is true
When t = 6, we use the domain 3.5 < t ≤ 6
So, we have
D(t) = 75t + 612.5
This gives
D(6) = 75* 6 + 612.5
Evaluate the product
D(6) = 450 + 612.5
Evaluate the sum
D(6) = 1062.5 --- this is true
Hence, the true statements are (b), (d) and (e)
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Complete question
Select three options. The starting distance, at 0 hours, is 300 miles. At 2 hours, the traveler is 725 miles from home. At 2.5 hours, the traveler is still moving farther from home. At 3 hours, the distance is constant, at 875 miles. The total distance from home after 6 hours is 1,062.5 miles.
Answer:
At 2 hours, the traveler is 725 miles from home.
At 3 hours, the distance is constant, at 875 miles.
The total distance from home after 6 hours is 1,062.5 miles.
Step-by-step explanation:
Which statement can you use to conclude that quadrilateral xyzw is a parallelogram
Answers
Answer: Option (4)
Step-by-step explanation:
A quadrilateral with two pairs of opposite congruent sides must be a parallelogram.
Gloria says the two expressions 1/4 (12x + 24) -9x and -6(x + 1) are equivalent. is she correct? Explain how you know
Answers
Answer:
No
Step-by-step explanation:
Lets simplify both expressions:
We will start with Gloria's first expression:
[tex]1/4 (12x + 24) -9x[/tex]
Apply distributive property:
[tex](3x + 6) -9x[/tex]
Combine like terms, we are then left with:
[tex]6-6x[/tex]
Now lets simplify the second expression
[tex]-6(x+1)[/tex]
Apply distributive property
[tex]-6x-6[/tex]
Rearrange:
[tex]-6-6x[/tex]
Now we can see that the two equations are not equal, as the first is 12 greater than the second. Another way we could have tested this was plugging in a value for x and then solving.
Point A is at (3, -8) and point B is at (7, 3). Point M is the midpoint of point A and point B.
Answers
The midpoint of point A and point B is (5, -2.5)
How to determine the midpoint?The coordinates are given as:
A = (3, -8)
B = (7, -3)
The midpoint is calculated as:
(x, y) = 0.5 * (x1 + x2, y1 + y2)
So, we have:
(x, y) = 0.5 * (3 + 7, -8 + 3)
This gives
(x, y) = 0.5 * (10, -5)
Evaluate
(x, y) = (5, -2.5)
Hence, the midpoint of point A and point B is (5, -2.5)
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answer the given questions please!
Answers
|8.5| = 8.5
B 5 and D -5 have absolute values of 5
|-5.6| = 5.6
8. The heights of female students at North Shore High School are normally distributed with a mean of 175 cm and a standard deviation of 6 cm. About how many students in a random sample of 1000 female students could we expect to have heights less than 167.5 cm
Answers
The number of students with heights less than 163 cm should be expected is 12.
According to the statement
The mean of height is 175 cm
and the standard deviation of height is 6 cm.
We use normal distribution here with formula
Z= X - μ /σ
Here X is 167.5 and μ is 175 and σ is 6 cm.
Substitute the values in it then
Z = 167.5 - 175 / 6
Z = -1.25
-1.25 have a p value 0.012
Out of 1000 students:
0.012 x 1000 = 12.
So, The number of students with heights less than 163 cm should be expected is 12.
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Polynomial Question
Find the roots if one of the roots is the product of the other two
Answers
Step-by-step explanation:
x³ - x² - 24x - 36
factors of -36 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and negative equivalents.
1 - 1 - 24 - 36 != 0
8 - 4 - 48 - 36 != 0
27 - 9 - 72 - 36 != 0
64 - 16 - 96 - 36 != 0
216 - 36 - 144 - 36 = 0
So one factor is 6
x = 6
(x - 6) = 0
x²(x - 6) = x³ - 6x²
5x(x - 6) = 5x² - 30x
6(x - 6) = 6x - 36
x³ - 6x² + 5x² - 30x + 6x - 36
(x - 6)(x² + 5x + 6)
(x - 6)(x² + 3x + 2x + 6)
(x - 6)(x(x + 3) + 2(x + 3))
(x - 6)(x + 3)(x + 2)
x - 6 = 0
x = 6
x + 3 = 0
x = -3
x + 2 = 0
x = -2
x = -2, -3, 6.
One is the product of the other 2 as -2 x -3 = 6.
Graphic proof is shown above or below in the image
Divide 2/8 by 9/18 . Input your answer as a reduced fraction.\
Answers
Answer:
1/2
Step-by-step explanation:
There is a couple ways of thinking about this. Probably the fastest way is the rule, but the rule is not intuitive. The rule is when you divide fraction, you keep the first fraction the same and then multiple and flip the second fraction.
2/8 x 18/9 = 36/72 To reduce the fraction, could keep dividing the top and the bottom by the same number until it is no longer possible, I could use: 2, 4 3, 9, 18, or 36. If I used 36, I would only have to divide once. 36/16 is 1 and 72/36 is 2 so my answer would be 1/2.
I could have divided the top and bottom by 2 and got 18/36 and then divide by 2 again and get 9/18 and then by 9 and get 1/2. As you can, see there are a lot of option.
The second method is in the picture that I sent you, it is a little more work, but it makes sense.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{2}{8}\div\frac{9}{18} }} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Simplify \ \frac{2}{8} \ to \ \frac{1}{4}. \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{4}\div\frac{18}{9} }} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule: a\div \frac{b}{c}=a\times \frac{c}{b}a \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{4}\times\frac{18}{9} }} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule: \frac{a}{b} \times \frac{c}d{}=\frac{ac}{bd}. \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1\times18}{4\times9} \ \to \ \ Multiply }} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{ \frac{18}{36}= }}\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{2} }} \end{gathered}$}} \end{gathered}$}[/tex]
Quick algebra 1 assignment for 50 points!
Only answer if you know the answer, quick shout-out to Yeony2202, tysm for the help!
Oh by the way this is just a section of the real assignment, the assignment calls for you to make an app that people can play to learn inverse variation & direct variation and stuff.
Hope that helps solve this! :)
Answers
The example on direct variation is illustrated below based on the information given.
How to illustrate the direct variation?An example will be:
When x = 2, y = 10. Find the value of y when x is 6.
In this case, this will be calculated thus:
y = kx
10 = 2k
k = 10/2
k = 5
Since y = kx.
y = 5 × 6
y = 30
The value of y is 30.
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Place the indicated product in the proper location on the grid.
(x + 2y ) 2
Answers
The expansion of the expression (x + 2y)² is x² + 4xy + 4y².
How to illustrate the information?The given expression is (x + 2y)². The expansion of the expression will be:
(x + 2y)²
= (x + 2y)(x + 2y)
= x² + 2xy + 2xy + 4y².
= x² + 4xy + 4y²
The expansion is x² + 4xy + 4y².
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Under his cell phone plan, Liam pays a flat cost of $69.50 per month and $5 per gigabyte. He wants to keep his bill under $90 per month. Write and solve an inequality which can be used to determine x, the number of gigabytes Liam can use while staying within his budget.
Answers
Using a linear function, the inequality is given by: 69.5 + 5x < 90.
The solution is: x < 4.1.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, we have that:
The y-intercept is the flat cost of $69.50.The slope is the cost per gigabyte of $5.Hence the cost of using x gigabytes is:
C(x) = 69.5 + 5x.
The cost has to be under 90, hence the inequality is:
C(x) < 90
69.5 + 5x < 90.
Then the solution is:
5x < 90 - 69.5.
x < 20.5/5
x < 4.1.
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Answer:
Inequality: 5x+35<50
Answer: x<3
Step-by-step explanation:
Please help ASAP!! Conner and Jana are multiplying (3⁵6⁸)(3⁹6¹⁰).
Conner's Work: (3⁵6⁸)(3⁹6¹⁰) = 3⁵ + ⁹ 6⁸ + ¹⁰ = 3¹⁴6¹⁸
Jana's Work: (3⁵6⁸)(3⁹6¹⁰) = 3⁵⋅⁹ 6⁸⋅¹⁰ = 3⁴⁵6⁸⁰
Is either of them correct? Explain your reasoning. (i do think jana is incorrect but im not sure how to answer for conner)
Answers
Answer:
Step-by-step explanation:
Write it out in expanded form and you will see why Connor is correct.
3^5 means 3x3x3x3x3
6^8 means 6x6x6x6x6x6x6x6
3^9 means 3x3x3x3x3x3x3x3x3
6^10 means 6x6x6x6x6x6x6x6x6x6
These numbers are all multiplied together, so how many of each number do we have?
3x3x3x3x3x6x6x6x6x6x6x6x6x3x3x3x3x3x3x3x3x3x6x6x6x6x6x6x6x6x6x6
3^14 6^18
John has a few shoes. mike has 10 shoes more than john. james has 8 less than john. mike has two times of james, how many shoes does john have
Answers
Step-by-step explanation:
M=2G
M=J+10
G=J-8
2G=J+10
G=J-8
2(J-8)=J+10
2J-16=J+10
J=26
| 9. The distance between Town A and Town B was 108 km. A car and a van left Town A at 12 00 for Town B. On reaching Town B, the car returned to Town A by the same route. When the two vehicles met, the distance that the car and the van had travelled was in the ratio 7:5. The average speed of the van was 60 km/h. Calculate
a) the time at which the two vehicles met, and
b) the average speed of the car in km/h.
Someone please helppp
Answers
Answer:
a) Time until both vehicles meet is 1.5 hours after starting at noon. That makes it 1:30PM.
b) Average speed of car is 84 km/h
Step-by-step explanation:
A -----------------------z------------B
Left Speed(km/h) Time
Car: 12PM X
Van: 12PM 60
Car/Van
DistanceCar AB + z
DistanceVan Az
Ratio: (AB+z)/Az = 7/5
Time until both meet = T (in hours)
Distance Car: xT
Distance Van: 60T
====
xT = AB + z
60T = Az
---
(xT/60T)= (7/5)
x = 60(7/5)
x = 84 km/h
=====
Time for car to reach B is: time (hr) = 108 km/(84 km/h)
time = 1.286 hours
Distance for at 1.289 hours is: distance (km) = (60 km/h)*(1.286 h)
distance = 77.14 km
At 1.286 hours, the car reverses direction. The van is (108 km - 77.14 km) or 30.86 km away.
Add the distances travelled by both vehicles after the car reverses direction at 1.286 hours. The sum will be 30.86 km when they meet, at time of T.
Car Distance + Van Distance = 30.86 km
T(84 km/h) + t(60 km)
They meet when they are 0 km apart, which can be modeled with the following equation:
Van travel Distance - Car Travel Distance = 0 starting at 1.286 hr.
Let t be the time after 1.286 hours that both vehicles meet/collide.
t*(60 km/h) + t(84 km/h) = 30.86 km
t(60+84) = 30.86 km
t(144 km/h) = 30.86 km
t = 0.2143 hr
Total time until the car and van meet is 1.286 hr + 0.2143 hr for a total of 1.50 hours.
=================
a) Time until both vehicles meet is 1.5 hours after starting at noon. That makes it 1:30PM.
b) Average speed of car is 84 km/h
==============
CHECK
Is the ratio of the distance travelled by the car and the van until they meet in the ratio of 7/5?
Car distance is (1.5 hr)(84 km/h) = 126 km
Van distance is (1.5 hr)(60 km/h) = 90.0 km
Ratio is 126/90 or 1.4
Ratio of 7/5 is 1.4
YES
The stem-and-leaf plot shows the points scored by Jason in nine basketball games.
Stem Leaves
1: 0 2 9
2: 3 6 6 7
3: 4
4: 0
What is the outlier of the data set?
A - 40
B - 26
C - 23
D - 10
Answers
Considering the given stem-and-leaf plot, the outlier is given by:
A - 40
What is an stem-and-leaf plot?The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:
4|5 = 45.
Outliers are usually the lowest or the highest value in the data-set. In this problem:
The lowest value is 10, but the second lowest is 12, which is close to 10.The highest value is 40, but the second lowest is 34, which is farther to 40 than 12 is to 10, hence 40 is an outlier.More can be learned about stem-and-leaf plots at https://brainly.com/question/27683035
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Y=5-2x 4x+2y=10 please help me
Answers
Answer:
Infinite solutions.
Step-by-step explanation:
y = 5 - 2x
2x + y = 5 ---------(I)
a₁ = 2 ; b₁ = 1 and c = 5
4x + 2y = 10
a₂ = 4 ; b₂ = 2 and c₂ = 10
[tex]\sf \dfrac{a_1}{a_2}=\dfrac{2}{4}=\dfrac{1}{2}\\\\\dfrac{b_1}{b_2}=\dfrac{1}{2}\\\\\dfrac{c_1}{c_2}=\dfrac{5}{10}=\dfrac{1}{2}[/tex]
⇒ [tex]\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}=\dfrac{1}{2}[/tex]
So, the line are coincident and has infinite solutions.
Which term describes the set of all possible input values for a function? OA. Range O B. Output O C. Domain O D. Input
Answers
Domain refers to the term which best describes the set of all possible input values for a function and is therefore denoted as option C.
What is Domain?These are all the values which go into a function which is defined and is denoted as the sign below:
dom · ( f ).
They are also among the values which form the independent variables in this type of context while on the other hand, the output is referred to as the range.
These set of values are usually inputted into the function to check its acceptability and also retrieve the output gotten from the type of operation given. It is also used to identify the independent variable which are present thereby making it the most appropriate choice.
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What’s 2 + 2 + 5 + 69 + 89. This will definitely help me out.
Answers
Answer:
167
Hope this helps you out
Answer:
167
Step-by-step explanation:
Break it into steps.
2+2+5 = 9
69 + 9 = 78
78 + 89 = 167
Hope this helps.
The table below shows all of the possible outcomes for rolling two six-sided number cubes. A table with 36 possible outcomes. There are 9 desired outcomes. What is the probability of rolling an even number first and an odd number second? StartFraction 1 over 9 EndFraction StartFraction 1 over 6 EndFraction One-fourth One-half Mark this and return Save and Exit
Answers
The probability of rolling an even number first and an odd number second is; One Fourth
How to find the probability of rolling a number?As two cubes are 6 sided, the total number of possibilities as seen in the attached table are;
6 * 6 = 36 possible numbers
Now in those possibilities, the first number will be even and the second number will be odd. From the the table, such possible pairs are,
(2,1), (2,3), (2,5), (4,1), (4,3), (4,5), (6,1), (6,3), (6,5)
Therefore, we can see we have a total of 9 sets with the combination of first number even and second number odd. So, the probability of rolling with this combination will be; 9/36 = 1/4
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PLEASE HELP!!! the photo has the question and options please help
Answers
The equation which expresses the number of bacteria, P, present at any time, t is P(t) = 4(2)^t
EquationNumber of bacteria = PTime = tCheck all options
When t = 1
P(t) = 8(4)^t
= 8(4)¹
= 8(4)
P(t) = 32
Not true
P(t) = 4(2)^t
= 4(2)¹
= 4(2)
= 8
True
P(t) = (2)^t
= (2)¹
= 2
Not true
P(t) = 8(2)^t
= 8(2)¹
= 8(2)
= 16
Not true
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The image point of A after a translation right 4 units and up 2 units is the point B(1,−3). Determine the coordinates of the pre-image point A.
Answers
The image of point A(-3, -5) after a translation right 4 units and up 2 units is the point B(1,−3)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.
Translation is the movement of a point either up, left, right or down in the coordinate plane.
The point A = (1 - 4, -3 - 2) = (-3, -5)
The image of point A(-3, -5) after a translation right 4 units and up 2 units is the point B(1,−3)
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PLEASE HELP IM STUCK
Answers
Hello, the solution of the problem is in this photo.
If the graph of the line falls from left to right, then the slope is negative.
WORTH 10 POINTS PLEASE HELP!!!!!!!!!!!!!!!
Consider the functions graphed below. A curve a intersects a parabola b at (negative 1, 0 point 5) and a parabola c at (negative 2 point 4, 0 point 3). A diagonal curve d intersects the parabola b at (0 point 5, 0) and (2, 3) and parabola c at (negative 1 point 2, negative 1 point 2). Determine which function has the greatest rate of change over the interval [0, 2]. A. d B. b C. c D.
Answers
Answer:
Step-by-step explanation:
The function with the greatest rate of change over the interval [0, 2] is: D. a
Find the exact value of sin 5pi/4
Answers
The exact value of sin 5π/4 is 0. 0677
How to find the value
It is important to note that π = 3. 142
Let's find sin 5π
Substitute the value
sin 5π = sin (5 × 3. 142) = sin 15. 71
= [tex]\frac{sin 15. 71}{4}[/tex]
Find the sine of the number
= [tex]\frac{0. 27076}{4}[/tex]
= [tex]0. 0677[/tex]
Thus, the exact value of sin 5π/4 is 0. 0677
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Answer:
- sqrt2/2
Step-by-step explanation:
What is the slope of the line through (3,2) and (-3,4)?
Answers
Answer:
slope = - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 3, 4 )
m = [tex]\frac{4-2}{-3-3}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]
[tex]\small\mathbb\green{slope=M= \frac{y2 - y1}{x2 - x1} = \frac{4 - ( - 2)}{3 - 3} \: = \frac{6}{0} \: = ∞} [/tex]
Amadou has a points card for a movie theater.
He receives 30 rewards points just for signing up.
He earns 8.5 points for each visit to the movie theater.
He needs 115 points for a free movie ticket.
Write and solve an equation which can be used to determine vvv, the number of visits Amadou must make to earn a free movie ticket.
Answers
He needs to do 10 visits to earn a free ticket.
How many visits Amadou must do to earn a free ticket?
We know that he gets 30 points just for signing up, and he gets 8.5 points for each visit, then the amount of points as a function of v, the number of visits, is:
P(v) = 30 + 8.5*v
He will get a free movie ticket when he gets 115 points, then we need to solve the linear equation:
P(v) = 115 = 30 + 8.5*v
Solving for v:
v = (115 - 30)/8.5 = 10
He needs to do 10 visits to earn a free ticket.
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URGENT!!!!!!
A researcher orders a broth of 8.8% glucose for her lab. However, she needs a stronger broth, one that is 13.8% glucose. Fortunately, she has 69.7 liters of 39.4% glucose broth in the stock room. How much 13.8% glucose broth can she make? Round your answer to the nearest tenth of a liter.
Answers
Answer:426.6
Step-by-step explanation:
.138 x =.088(x - 69.7) + .394(69.7)
.138 x - .088x = 69.7(.394 - .088)
.05x = 21.3282
/
x = 426.564
This rounds to x = 426.6
Give me brainliestIvan began to prove the law of sines using the diagram and equations below.
Triangle A B C is shown. A perpendicular bisector is drawn from point C to point D on side B A to form a right angle. The length of the perpendicular bisector is h, the length of C B is a, the length of C A is b, and the length of B A is c.
sin(A) = h/b, so b sin(A) = h.
sin(B) = h/a, so a sin(B) = h.
Therefore, b sin(A) = a sin(B).
Which equation is equivalent to the equation
b sin(A) = a sin(B)?
StartFraction a Over sine (uppercase B) EndFraction = StartFraction b Over sine (uppercase A) EndFraction
StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction
StartFraction sine (uppercase A) Over sine (uppercase B) EndFraction = StartFraction b Over a EndFraction
StartFraction sine (uppercase B) Over a EndFraction = StartFraction sine (uppercase A) Over b EndFraction
Answers
An equation which is equivalent to the equation bsin(A) = asin(B) is: B. [tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex]
What is the law of sines?The law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.
Mathematically, the law of sines is given by this equation:
[tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex]
In this context, we can infer and logically deduce that an equation which is equivalent to the equation bsin(A) = asin(B) is [tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex].
Read more on law of sines here: https://brainly.com/question/7922954
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Answer: B
Explanation: sin(A)/a=sin(B)/b