Answer:
15
Step-by-step explanation:
Answer:
K'(-3,-2) and A'(-2,5)
Step-by-step explanation:
180 degree rotation = (x,y)---(-x, -y)
hence, if k=(3,2)
then k' = (-3, -2)
90 degree rotation clockwise= (x,y)--(y,-x)
hence if, A=(-5 , -2)
then, A'= (-2, 5)
The solution for this question is simple. First we need to divide both numbers by 2 which will give us 10 and 7. This is the equation x^2/10^2 + y^2/7^2 = 1sqrt(100-49) = 7.14 (the answer do not have a perfect square root)
Foci are 14.28 units apart
5/7 ÷ 1/3 = 5/7 × 3/1 = 15/7
Answer:
![y= x - 300](https://tex.z-dn.net/?f=y%3D%20x%20-%20300)
-- Her equivalent weight on earth
Step-by-step explanation:
Given
The attached table
Required
Fill in the gaps
(a) The equation
First, we calculate the slope (m)
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
From the table, we can say that:
![(x_1,y_1) = (0,-300)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%280%2C-300%29)
![(x_2,y_2) = (300,0)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%28300%2C0%29)
So, we have:
![m = \frac{0 -(-300)}{300 - 0}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B0%20%20-%28-300%29%7D%7B300%20-%200%7D)
![m = \frac{0 +300}{300}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B0%20%2B300%7D%7B300%7D)
![m = \frac{300}{300}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B300%7D%7B300%7D)
![m = 1](https://tex.z-dn.net/?f=m%20%3D%201)
The equation is then calculated using:
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
This gives:
![y - (-300) = 1(x - 0)](https://tex.z-dn.net/?f=y%20-%20%28-300%29%20%3D%201%28x%20-%200%29)
![y +300 = 1(x)](https://tex.z-dn.net/?f=y%20%2B300%20%3D%201%28x%29)
![y +300 = x](https://tex.z-dn.net/?f=y%20%2B300%20%3D%20x)
![y= x - 300](https://tex.z-dn.net/?f=y%3D%20x%20-%20300)
(b) When x = 54
Substitute 54 for x in ![y= x - 300](https://tex.z-dn.net/?f=y%3D%20x%20-%20300)
![y = 54 - 300](https://tex.z-dn.net/?f=y%20%3D%2054%20-%20300)
![y = -246](https://tex.z-dn.net/?f=y%20%3D%20-246)