Answer:
multiplying both-side of the equation by 3
substituting 36 for p to check the solution
Step-by-step explanation:
To solve the equation p/3 = 12, we will follow the steps below;
first multiply 3 to both-side of the equation, that is:
p/3 × 3 = 12 × 3
On the left-hand side of the equation, 3 at the numerator will cancel-out 3 at the denominator, leaving us with just p while on the right-hand side of the equation 12 will be multiplied by 3
p= 36
To check the correctness of the equation, we can substitute p = 36 back into the equation and then check, that is;
p/3 = 12
36/3 = 12
This implies p = 36 is correct
Answer:
The first image.
x | y
-4 | 0
0 | 20 <--- When x = 0, the y value is the y-intercept.
4 | 40
8 | 60
Step-by-step explanation:
To check the slope, we can use the equation (y₂ - y₁) ÷ (x₂ - x₁) using any two pairs given. For this example, I'll use (-4, 0) and (4, 40).
x₂ y₂ x₁ y₁
(0 - 40) ÷ (-4 - 4)
(-40) ÷ (-8)
<u>Slope = 5</u>
<u></u>
~Hope this helps!~
-3, 3, 5.
https://www.wolframalpha.com/input/?i=%28x%5E3%29-%285x%5E2%29-9x%2B45%3D0
Answer:
D) (x, y) → (1/3x , 1/3 y)
Step-by-step explanation:
A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged. If the dilation factor is smaller than 1, the figure is shrinked. In both cases, the coordinates are MULTIPLIED by the dilation factor.
Among the 4 choices, only 2 are dilations. One is with a dilation factor of 3 (A), which means the shape was enlarged. And the other is with dilation factor of 1/3, meaning the shape was shrinked.
Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.
Answers B and C show a translation/movement of the shape, not a dilation.
Answer:
y=(2x/3)-(11/3)
Step-by-step explanation:
https://www.emathhelp.net/calculators/algebra-1/parallel-and-perpendicular-line-calculator/
