Angle A = 3x - 10
Angle B = x
Their angle sum = 90° ( complementary angles form 90° )
This can be written in an equation as =
= 3x - 10 + x = 90
= 3x + × + ( -10 ) = 90
= 4x + (-10) = 90
= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )
= 4x = 100
= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )
= x = 25
Angle A = 3x - 10
= 3 × 25 - 10
= 75 - 10
= Angle A = 65°
Angle B = x = 25°
Their sum = 65 + 25 = 90°
Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .
Topic is Solving Systems by Elimination. Need the work
- 7x + 3y =- 24
2x - 4y =- 12
Please help D: what’s the answer
3. Evaluate 7w – 52 + 9 + w) when w = 4 and z = 5
Answer:
45
Step-by-step explanation:
7 x 4 - 5 x 5 + 9 (2/3 + 4)
28 - 25 + 9 x 14/3
28 -25 + 3 x 14
28 - 25 + 42
45
Answer:
45
Step-by-step explanation:
Given
7w - 5z + 9([tex]\frac{2}{3}[/tex] + w) ← distribute parenthesis
= 7w - 5z + 6 + 9w ← collect like terms
= 16w - 5z + 6 ← substitute w = 4, z = 5 into the expression
= 16(4) - 5(5) + 6
= 64 - 25 + 6
= 45
NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!!!!!!!!
I NEED HELP ON ALL THREE PLEASE!!!!
Answer:
16. H
17. C
18. G
Evaluate the given question.
Answer:
In this case since you have fraction you must make sure the limit x value does not make the denominator 0. In this case it does, so you have to factor the expressions to try to cancel out like terms when dividing. Use the method of factoring polynomials to find the solution. It is too late for me but I told you how you can answer it. Once you can plug in 2 into the denominator and not get 0, you can evaluate the limit. Keep practicing!
Step-by-step explanation:
What is the transformation that needs to be done to map ABCDE to A'B'C'D'E'?
Answer:
the third one
Step-by-step explanation:
is 27/2 a rational number?
HELP!
Please help
8th grade pre algebra
Answer:
The 1st Graph: -4/1
2nd Graph 1/3
Step-by-step explanation:
Find the equation of the line
Y= __x +__
Answer:
y = 1x - 5
m = 1, b = -5
Step-by-step explanation:
This equation that we are solving form is known as slope intercept form: y = mx + b.
Given a graph that intersects the x axis at -5, rises one y every one run of x, the slope must be one as the point where (0,-5) → (1,-4) → (2,-3) → (3,-2)..... you can see that y, and x change by positive one every time, so this is the reasoning. A linear equation is always straight so it's slope is always the same, so you can just pick two points and find the difference in x, and y values to get the slope. Think about it like this, you start with negative five and go up one each x. Therefore, your equation is y = x - 5. As a coefficient of 1 or slope of 1 will leave x by itself since multiplying anything by 1 is itself.
Help me !!! Solve: 3b − 2 = 7
Answer:
B=3
Step-by-step explanation:
What is the product of 840 and 4.6 \times 10^24.6×10
2
expressed in scientific notation?
Answer:
840
Step-by-step explanation:
840&*67---***&%%%%%:
3.864×10⁵ is the product of 840 and 4.6×10² in scientific notation
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
We need to find the product of 840 and 4.6×10²
Eight hundred forty into four point six into ten to the power of two.
840× 4.6×10²
3864×10^2
Divide and multiply by 1000
3.864×10^5
Hence 3.864×10⁵ is the product of 840 and 4.6×10²
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help me!!!!!!! I need help
Answer:
the answer is 8
Step-by-step explanation:
BC
Answer:
8
Step-by-step explanation:
18-inches is 1.5 feet.
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Kate is planning a trip to the beach. She estimates her average speed to graph her expected progress on the trip. Write an equation in slope-intercept form that represents the situation.
slope (m):
y-intercept (b):
equation:
Answer:
Slope = -60 miles per hour
y-intercept = 300 mi.
Equation of the line → y = -60x + 300
Step-by-step explanation:
Let the equation representing relation between the distance to beach and time taken is,
y = mx + b
Where, m = slope of the line = Average speed of Kate
y = Distance to the beach
x = time taken
b = Distance from the beach at t = 0
Slope of a line joining points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope the line joining (5, 0) and (0, 300),
Slope 'm' = [tex]\frac{300-0}{0-5}[/tex] = -60 miles per hour
y intercept 'b' = 300 mi.
So the equation will be,
y = -60x + 300
30 students in a class took a math test 24 students pass the test what percent past
Answer:
80% passed
Step-by-step explanation:
1. 24 out of 30 passed
2. In order to make it a % you have to multiply
3. 100 * 24/30
4. = 2400/30
5. Therefore the answer is 80
⚠️HURRY⚠️
write an equation that matches this graph in Slope-Intercept Form
Answer:
y = -1/4x+2
Step-by-step explanation:
Answer:
y = -1/4x + 2
Step-by-step explanation:
We can tell that the line passes trough the point (0, 2), so the y-intercept is 2.
Let's calculate the slope by using rise over run. We see for every one unit down, it goes 4 units to the right. It also goes downward, so the slope is negative. So the slope is -1/4. Put it together...
y = -1/4x + 2
Hope this helps!
The expected attendance at a school event is 65 people. The actual attendance can vary by up to 30 people. Which equation can you use to find the minimum and maximum
attendances?
Answer:
|x-65|=30
Step-by-step explanation:
You are expecting 65 people, but usually 30 people come.
This equation works best since you can find both the minimum and maximum.
The equation can you use to find the minimum and maximum attendances will be |x - 65| = 30.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x |
The expected attendance at a school event is 65 people. The actual attendance can vary by up to 30 people. Then the absolute function of the equation is given as,
|x - 65| = 30
The equation can you use to find the minimum and maximum attendances will be |x - 65| = 30.
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A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from point A. The builders decided to rotate the model 90° counterclockwise about the origin. Where is the new location of the batter?
Answer:
[tex]A' =(-y,x)[/tex]
Step-by-step explanation:
Given
Represent point A as thus;
[tex]A = (x,y)[/tex]
Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:
[tex]Pos = (y,x)[/tex]
Then, y is negated to give A'
[tex]A' =(-y,x)[/tex]
The Earth has a mass of about 6 x 1024 kg. Neptune has a mass of 1 x 1026 kg.
How many times bigger is Neptune than Earth?
Give your answer in standard form to the nearest whole number.
Help me plz!!!!!!!!!!!
Answer:
88%
Step-by-step explanation:
22/25 = .88 x 100= 88%
Answer:
88%
Step-by-step explanation:
First, you start with the bottom (denominator). You turn it into 100 since all percentages are over 100. So 25 times 4 is 100. Therefore, you also have to multiply the top with a 4, getting an 88 over 100. That is equal to 88%.
what is the common difference between successive terms in the sequence
9,2.5,-4,-10.5,-17
Let's find the difference between two consecutive terms
2.5 - 9 = -6.5
-4 - 2.5 = -6.5
-10.5 - (-4) = -6.5
-17 -(-10.5) = -6.5
We can see that the common difference is -6.5
-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17
the common difference is negative because we subtract 6.5 to get the next term.
Answer:
The common difference between 9, 2.5, –4, –10.5, –17, ...
Is –6.5
Step-by-step explanation:
Because,
2.5 - 9 = -6.5
-4 - 2.5 = -6.5
-10.5 - (-4) = -6.5
-17 -(-10.5) = -6.5
We can see that the common difference is -6.5
-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17
the common difference is negative because we subtract 6.5 to get the next term.
The linear function m=55-8.5b represents the amount m (in dollars) of money that you have after buying b books. Find the domain of the function. Is the domain discrete of continuous? Explain.
Answer:
The domain is (-∞ , ∞)
The domain is continuous
Step-by-step explanation:
Here, we want to identify the domain of the linear function
The domain in this case can be represented by the set of all real numbers.
When we talk of the domain of a function, we are simply referring to the the range of values between the smallest value on the x-axis and the largest number on the x-axis
Hence, mathematically, we are simply considering the smallest value of b up to the largest value of b in this case. Where b simply represents the number of books
Thus, the domain here will be (-∞ , ∞)
On if the domain is discrete or continuous, we can see that the domain is continuous.
The domain is continuous simply because, the domain we have contains all the values and not some in the set of real numbers. If it had contain only some, then it would have been discrete. But since it contains all, it is continuous
6(x – 1) = 9(x + 2)
Solve
Answer:
x=−8
Step-by-step explanation:
6(x−1)=9(x+2)
Step 1: Simplify both sides of the equation.
6(x−1)=9(x+2)
(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)
6x+−6=9x+18
6x−6=9x+18
Step 2: Subtract 9x from both sides.
6x−6−9x=9x+18−9x
−3x−6=18
Step 3: Add 6 to both sides.
−3x−6+6=18+6
−3x=24
Step 4: Divide both sides by -3.
−3x/−3=24/−3
Nicole babysits on the weekends. She charges a flat fee of $10 and then $5 per hour. If she made $40 on Friday night, how many hours did she babysit?
Choose the equation to represent this situation.
Group of answer choices
Which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door A, door B, or door C?
A. Flipping a coin and getting heads for door A or tails for door C.
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.
C. Creating a spinner divided into 4 equal parts. Label two parts door A, one part door B, and the third part door C.
D. Go to the game show and collect data for a month on which doors people chose.
Answer:
The correct option is;
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C
Step-by-step explanation:
Given that an onloaded die has equal chances of getting either 1 or 2 or 3 or 4 or 5 or 6, the chances of getting a particular score is therefore 1/6
and the probability of getting a 1 or 2 = 1/6 + 1/6 = 2/6 = 1/3
Therefore, given that the probability, P[tex]_{door}[/tex] of opening door A, or door B, or door C is the probability of selecting 1 out of 3 given as follows;
P[tex]_{door}[/tex](door A) = 1/3
P[tex]_{door}[/tex](door B) = 1/3
P[tex]_{door}[/tex](door C) = 1/3
Therefore, given that the probability of selecting either door A or door B or door C is equivalent to the probability of getting a 1 or 2, or a 3 or 4, or a 5 or 6 on a die.
Answer:
Its B: Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.
Step-by-step explanation:
They have to be evenly probable so its B
edge 2020
Choose the correct equation for the line shown on the graph?
Answer:
Option 3
[tex]y=-\frac{1}{4} x-1[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
where m = slope, and b = y intercept
The y intercept is -1. That is because the given line intersects the y axis at the point (0,-1)
The slope is -1/4
That is because it goes up one, and right -4. That means it goes up 1 and left 4.
Complete the square to put () in vertex form. () = 3
2 + 30 − 12. What is the vertex?
Answer:
A and A
the equation of a parabola in vertex form is
y = a(x - h)² + k
where ( h, k ) are the coordinates of the vertex and a is a multiplier
y = - 2(x + 3)² + 2 is in this form
with vertex = ( - 3, 2)
To find the y-intercept let x = 0
y = - 2(3)² + 2 = - 18 + 2 = - 16
Similarly
y = - 2(x + 2)² + 2 is in vertex form
vertex = ( - 2 , 2)
x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept
hope this helped
If k(x) = -2x2 – 7, find k(4)
Answer:
-39
Step-by-step explanation:
Answer:
-23
Step-by-step explanation:
You just plug in 4 for x. So it'd be -2(4)2-7
So, you have -8(2)-7
Then: -16-7, which gives you -23
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
What is the standard form of the polynomial?
To write a polynomial in its standard form, we first simplify then write the terms in an descending order.
Given the polynomial; 9x² + 5x + 27 + 2x³
First, we move the constant 27 to the right end of the expression
9x² + 5x + 2x³ + 27
Next, we move 2x³ left end of the expression
2x³ + 9x² + 5x + 27
Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.
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The following are the last 10 run scores Colin got in cricket:
1, 25, 27, 3, 23, 25, 5, 9, 26, 27
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 5 runs.
What is his new mean score?
Give your answers as decimals
Answer:
a) 18.8
b) 20
I hope this helps :) Let me know if it's right!
Answer:
17.1
Step-by-step explanation:
Given parameters:
Scores of Colins:
1, 25, 27, 3, 23, 25, 5, 9, 26, 27
A. Colin's mean score;
The mean is the sum of all values divided by the number of values in a given set;
Mean = [tex]\frac{1 + 25 + 27 + 3 + 23 + 25 + 5 + 9 + 26 + 27}{10}[/tex]
Mean = [tex]\frac{171}{10}[/tex]
Mean score = 17.1
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Write an equation that has a slope of 4 and a y-intercept of (0,2)
Answer:
y=4x+2
I know this already i learned this 3 years ago
Answer:
The equation would be y=4x+2
Step-by-step explanation:
The equation of a slope is y=mx+b, with the slope replacing m, and the Y intercept replacing b.