Write an equation of a line perpendicular to line AB below in slope-intercept form that passes through the point (7, 6).
Line AB is shown. A is at 0, 1. B is at negative 2, 5.
(6 points)
y = 0.5x + 2.5
y = 0.5x − 2.5
y = −2x + 20
y = 2x − 20
Answer: y = 0.5x + 2.5
I took the test and got it right
Answer: y = 0.5x + 2.5
Step-by-step explanation: look at picture VVV VVV VVV
Please help me out!!!!!
Answer:
Option (5)
Step-by-step explanation:
f(x) is a function with the degree of 3, having zeros as x = 2, 2t, -2t
And f(1) = -15
Option (1)
f(x) = 2x³- 2x² + 2x - 30
f(1) = 2(1)³ - 2(1)² + 2(1) - 30
= 2 - 2 + 2 - 30
= -28 ≠ -15
Therefore, Option (1) is not the answer.
Option (2)
f(x) = 2x³ + 2x² + 2x - 30
f(1) = 2(1)³ + 2(1)² + 2(1) - 30
= 2 + 2 + 2 - 30
= 6 - 30
= -24 ≠ -15
Therefore, Option (2) is not the answer.
Option (3)
f(x) = 3x³ - 6x² + 12x - 12
f(1) = 3(1)³ - 6(1)² + 12(1) - 12
= 3 - 6
= -3 ≠ -15
Therefore, Option (3) is not the answer.
Option(4)
f(x) = 48x³- 9x² + 12x - 24
f(1) = 48(1)³ - 9(1)² + 12(1) - 24
= 48 - 9 + 12 - 24
= 27 ≠ -15
Therefore, Option (4) is not the answer.
Option (5)
f(x) = 3x³- 6x² + 12x - 24
f(1) = 3(1)³- 6(1)² + 12(1) - 24
= 3 - 6 + 12 - 24
= -15
Therefore, Option (5) is the correct option.
3. A wheel with a diameter of 12 inches will move 377 inches when rolled five times. How far will the same
wheel move, to the nearest inch, in 16 rolls?
(1) 31
(3) 4,524
(2) 1,206
(4) 2,932
Answer:
plz mark me brainlist
Step-by-step explanation:
1206 is right answer
Answer:
The answer is approxiamately 1206
Step-by-step explanation:
377/5=75.4
75.4x16=1206.4
1206.4 is approxiamately 1206
Find the measure of each exterior angle of the regular polygon.
Answer:
Exterior Angle 1 (2x-10): 140 degrees
Exterior Angle 2 (x+25): 130 degrees
Exterior Angle 3 (right angle): 90 degrees
Step-by-step explanation:
Givens:
Angle 3 = 90 degrees
Angle 1 + Angle 2 + Angle 3 = 180 degrees
Angle 1/2/3 + exterior angle = 180 degrees -> 180 - Angle1/2/3 = exterior angle
Step 1: Solving for x.
1. Using the first equation above, substitute the angles.
(2x-10) + (x+25) + 90 = 180
2. Combine like terms.
3x + 105 = 180
3. Solve for x.
3x = 75
x = 25
Step 2: Solving for angle 1 and 2.
Plug 25 in for x for both angles
Angle 1:
(2(25)-10) = 40 degrees
Angle 2:
((25)+25) = 50 degrees
Step 3: Solving for exterior angles.
Plug in the knowns to the second equation above and solve.
Angle 1:
180 - 40 = 140 degrees
Angle 2:
180 - 50 = 130 degrees
Angle 3:
180 - 90 = 90 degrees
I hope this helps!
Answer:
x=25
Step-by-step explanation:
90+2x-1-+x+25=180
3x+105=180
-105 -105
3x/3=25/3
Meaning x=25
Can someone help me with this! Ty
Answer:
drag 10 to the
Step-by-step explanation:
Answer:
In order from left to right (each slash will be one line on the number line.)
Step-by-step explanation:
-10 -9 -7 -5 -4 -2 0
/____/___/___/__/___/____/___/_____/__/___/
Slope of a given line is -2 and one point is (0,0). Select other points which could be on the line. Select all that applies:
a (2,4)
b (3,-6)
C (-1,2)
d (1,-2)
A case of tacks weighs 1.29 kilograms. There are 7 boxes in each case, each box having the same weight. How much does each box weigh?
Answer:
Each box weighs 0.18 kilogram.
Step-by-step explanation:
We can do proportions to solve.
[tex] \frac{1.29 \: kilograms}{7 \: boxes} = \frac{x}{1 \: box} \\ \\ \frac{7x}{7} = \frac{1.29}{7} \\ \\ x = 0.18 \\ x = 0.18 \: kilogram[/tex]
3 drinks and 2 pretzels costs $16, but 6 drinks and 5 pretzels ests $21.25. What is the press
of one pretzel?
Answer:
The price of one pretzel is $-10.75
Step-by-step explanation:
I'm not really sure why the pretzel would be negative dollars, but I checked my answer multiple times and it's right. For this problem you need a system of equations. The system will be 3d+2p=16 (since 3 drinks and 2 pretzels is 16 dollars) and 6d+5p=21.25 (since 6 drinks and 5 pretzels is 21.25 dollars). To solve this system, the first thing we're going to do is multiply the first system by -2 so that we can cancel the d variable. This will leave you with
-6d-4p=-32. Now, you can add this to the other equation. Since the -6 and 6 cancel, we only have the p variable now (that's why we multiplied by -2, to cancel out the d variable when we added later). Now we have -4p=-32 and 5p=21.25. Add these two equations together and you'll get 1p=-10.75, or p=-10.75. If you needed to solve for the drinks, you could plug -10.75 back into one of the first two equations, but for this problem we don't so -10.75 is your answer.
12)
What is two rays sharing a common endpoint?
A)
angle
B)
circle
C)triangle
D)
line segment
Answer:
An angle is formed when two rays share a common endpoint.
Step-by-step explanation:
When two rays share a common endpoint they form A) an angle and the common endpoint is called the vertex.
What are the types of lines?A line has three subsets one is the line itself which can extend in both directions, the Second one is a ray which has one initial point and can extend only in another direction and lastly a line segment which has two endpoints.
We know that a ray has one initial point and it can extend indefinitely in another direction denoted by an arrow.
We also know that an angle is formed when two lines have one common point called the vertex. The measure of an angle is described by the amount of rotational distance it covered from the initial ray and the other ray.
learn more about angles here :
https://brainly.com/question/2882938
#SPJ1
how do you write 6.94 × 10⁵ in standard form?
Answer:
69400
Step-by-step explanation:
Please give Brainliest and thank me
please solve X for me ? :')
help me i have a c i rlly need it lol
Answer:
#5, #1, #2, #4, #3
They are always positive soo you just order them without the negatives
Substitute it please!!
y=1-i
x=-3/2-i/2
thats what it should be
Which expression is equal to 7/v5
Which of the following is a rational number?
Answer:
B
Step-by-step explanation:
when you solve B you get 15 and for all the other ones you get a non-terminating decimal
18. The average honeybee can travel 10.5 feet per
second. How many feet can the honeybee travel in
3.7 seconds?
Answer:
38.85 feet
Step-by-step explanation:
If the honeybee can travel 10.5 feet per second you multiply 10.5 by 3.7 to get the total for 3.7 seconds.
what do i put in the blank ?
Answer:
Slope: 3
Y-intercept: -1
Linear equation: y=3x-1
This hurts my brain cells help me
The answer is 3,4 what is the question
Answer:
What is the x and y coordinate of (3,4)
April wants to paint three walls of her bedroom. The walls are each 90 square feet. Paint is only sold in whole quarts, and each quart of paint will cover 100 square feet. How many quarts of paint must she purchase to have sufficient paint for this job?
Answer:
she should buy 3 quarts and keep the remainder which can possibly cover 30 square feet.
is 3.12311 a rational number
All terminating decimals are rational numbers
In this case,
3.12311 = 312311/100000
which shows that 3.12311 can be written as a ratio of two integers, therefore making it a rational number.
the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to line a. Point (0, 5) lines on both line b and line t.
Answer: The equation for line b is [tex]y = -\frac{3}{4}x + 5[/tex]
The equation for line t is [tex]y= \frac{4}{3} x+5[/tex]
The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.
Step-by-step explanation: Use slope intercept form, y = mx + b
The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"
To write the equation for line t
Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.
So invert 3/4 to become 4/3 and change the negative sign to positive.
The resulting equation is y = 4x/3 + 5
A division problem is shown below.
A cooking instructor stated that 5 pounds of roast beef is needed to serve 8 people. Based on the instructor's statement, which of the following equations can be used to find r, the number of pounds of roast beef needed to serve 12 people?
Answer:
r = 5:8
Step-by-step explanation:
5 pound to 8 people
According to the National Oceanic and Atmospheric Administration, the blue whale is the largest animal on Earth. Blue whales weigh approximately 3×105 pounds. Narwhals, which are also a type of whale, weigh approximately 2×103 pounds. How many times heavier is the blue whale's weight than the narwhal's weight?
Answer: The blue whale's weight is 150 times heavier than the narwhal's weight.
Step-by-step explanation:
Given: Weight of Blue whale = [tex]3\times10^5\text{ pounds}[/tex]
Weight of Narwhal = [tex]2\times10^3\text{ pounds}[/tex]
Number of times blue whale's weight is heavier than the narwhal's weight = [tex]=\dfrac{\text{Weight of Blue whale}}{\text{Weight of Narwhal }}[/tex]
[tex]=\dfrac{3\times10^5}{2\times10^3}\\\\=1.5\times10^{5-3}\ \ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=1.5\times10^2\\\\=1.5\times100=150[/tex]
Hence, the blue whale's weight is 150 times heavier than the narwhal's weight.
A chef bought 3 bags of beans. Each bag contains 1.5 kilograms of beans. How many kilograms of beans did she buy?
Answer:
The chef bought 4.5 kg of beans
Step-by-step explanation:
1.5 x 3 = 4.5
4.5 kg
HELPPPPPPPPPPPP MEEEE
Answer:
He will do 75 Knee lifts
Step-by-step explanation:
Every minute, he does 25 knee lifts.
We know this by dividing 50 and 2 which is 25
We multiply by three after because he is doing knee lifts for three minutes.
25 x 3 = 75
a number x divided by 4
Find the diameter of a circle if its area is
a. 100cm2
Ibucm2
c. 400mcm2
d. - ncm2
4
Answer:
[tex]Diameter = 11.28[/tex]cm --- (a)
[tex]Diameter =22.58[/tex] cm --- (c)
Step-by-step explanation:
Only (a) & (c) are clear enough to be solved. Others are not properly presented.
Use the following explanations of (a) & (c) to answer others.
[tex]a.\ Area = 100cm^2[/tex]
Area is calculated as:
[tex]Area = \pi r^2[/tex]
Substitute 100 for Area
[tex]100 = \pi r^2[/tex]
Take π as 3.14. So, the expression become
[tex]100 = 3.14 r^2[/tex]
Divide both sides by 3.14
[tex]\frac{100}{3.14} = \frac{3.14 r^2}{3.14}[/tex]
[tex]\frac{100}{3.14} = r^2[/tex]
[tex]r^2 = \frac{100}{3.14}[/tex]
[tex]r^2 = 31.847133758[/tex]
Solve for r
[tex]r = \sqrt{31.847133758[/tex]
[tex]r = 5.64[/tex]
But diameter = 2 * radius
So:
[tex]Diameter = 2 * 5.64[/tex]
[tex]Diameter = 11.28[/tex]
[tex]a.\ Area = 400cm^2[/tex]
Area is calculated as:
[tex]Area = \pi r^2[/tex]
Substitute 400 for Area
[tex]400 = \pi r^2[/tex]
[tex]400 = 3.14 r^2[/tex]
Divide both sides by 3.14
[tex]\frac{400}{3.14} = \frac{3.14 r^2}{3.14}[/tex]
[tex]\frac{400}{3.14} = r^2[/tex]
[tex]r^2 = \frac{100}{3.14}[/tex]
[tex]r^2 = 127.388535032[/tex]
Solve for r
[tex]r = \sqrt{127.388535032[/tex]
[tex]r = 11.29[/tex]
But diameter = 2 * radius
So:
[tex]Diameter = 2 * 11.29[/tex]
[tex]Diameter =22,58[/tex]
En una tienda venden pepitas de chocolate y nueces. 2 libras de pepitas de chocolate y libras de nueces cuestan $20 en total. 8 libras de pepitas de chocolate y 3 libras de nueces cuestan $29 en total. Hallar cuánto cuesta cada libra de pepitas de chocolate y cada libra de nueces.
Responder:
$ 2.5 y $ 3
Explicación paso a paso:
Paso uno:
datos dados
Sea xey el costo por libra de chispas de chocolate y nueces, respectivamente
por lo tanto
2x + 5y = 20 ------ 1
y
8x + 3y = 29 ------ 2
resolviendo 1 y 2 simultáneamente tenemos
2x + 5y = 20 (multiplicar la ecuación por 4)
8x + 20y = 80 ------------- 3
restar eqn 2 de 3
8x + 20y = 80 ------------- 3
8x + 3y = 29 ----------------- 2
0 + 17 años = 51
divide ambos lados por 17
y = 51/17
y = 3
El costo de las nueces por libra = $ 3
poner y = 3 en 8x + 3y = 29 ------ 2
8x + 3 (3) = 29 ------ 2
8x + 9 = 29
8x = 29-9
8x = 20
divide ambos lados entre 8
x = 20/8
x = 2,5
El costo del chocolate por libra = $ 2.5