The lengths of the rectangles are 7 and 12 respectively. Form the ratio 7/12. The widths of the rects. are x and 5 respectively. Form the ratio x/5. Now equate these two ratios:
7 x
--- = ---
12 5
Solve this for x. One way to do this would be to cross-multiply, obtaining 12x = 35, and solving this result for x. x will be a fraction. Write the numerator and denominator in the boxes given.
You would expand becausee it isn't equal to anything
(x+3)^3=(x+3)(x+3)(x+3)
we can use binomial theorem or pascal's triangle
anyway, pascal's triangle is more practicl for this one
so
for the 3rd power
a=x
b=3
=
1/23.Yup thast is the answer.
Answer:
y=4/5x-3 - (-5, -7)
Step-by-step explanation:
So to solve this, lets just plug in each value for x, and see if the y value we get is equal to one of our answers.
So we have (-10, 5)
Well plug in -10 for 4/5x we get:
-40/5=-8
Next we take that value and solve:
y=-8-3
y=-11
The answer for this was 5, not -11.
Ill skip a few steps:
(10, -11):
Plug in 10 we get:
y=8-3 which is y=5. This is not right, for it needed to be -11.
Next we have (5, -1)
This gets us y=4-3 this is y=1 which is not -1. So thats not right.
Finally we have (-5, -7):
This gets us y=-4-3 this is y=-7. What was our y value? -7!
So the answer is (-5, -7)
I hope this helps! :)
