Answer:
Step-by-step explanation:
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
Answer:
If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50
Step-by-step explanation:
We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50
Answer:
![15+2.7>32](https://tex.z-dn.net/?f=15%2B2.7%3E32)
Step-by-step explanation:
If Jeannette is eating 2.7 hot dogs per minute, the after
minutes, she would have eaten
hot dogs.
Furthermore, if Jeannette has already eaten 15 hot dogs, then after
minutes she should have eaten a total of
![15+2.7x](https://tex.z-dn.net/?f=15%2B2.7x)
hot dogs.
Since Jeannette needs to eat more than 32 hot dogs, then after
minutes she should have eaten more than 32 hot dogs:
<em> </em>
This inequality can be solved for
to find the number of minutes Jeannette needs to win the contest.
When solved, the solution is
![x>6.3](https://tex.z-dn.net/?f=x%3E6.3)
<em />
Answer:
D(8, 10 ) , slope = ![\frac{5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D)
Step-by-step explanation:
Calculate the slope m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = C(4, 5) and (x₂, y₂ ) = D(8, 10)
m =
= ![\frac{5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D)