Answer:
There are two possible values for r (area): r =-7 or r=3
Step-by-step explanation:
Given the rectangular rug area is:
We have to convert the above equation into factored form.
So two numbers whose product is -21r² and sum is -4r
<=>
= 
= r (r -7) + 3(r -7)
= (r-7)(r+3)
We set
= 0
<=> (r-7)(r+3) = 0
<=> (r-7) = 0 or (r+3) = 0
<=> r =-7 or r=3
So, there are two possible values for r (area): r =-7 or r=3
1. 3y to the power of 25-50y
2. (5x-3y) to the power of 10
3. x to the power of 6x-25
4. x to the power of x - 28
There maybe another step here but I think you just simplify them to lowest terms.
ANSWER
450lb
EXPLANATION
If the weight, m of an object on the moon varies directly as the weight of an object e, on the earth, then we can write the mathematical statement,.

We introduce the constant of proportionality to obtain,

When, m=95, e=570,
This implies that,



The equation now becomes,

We want to find e, when m=2700,

The coordinates of B' are 3 and -12. so option D is correct (3, -12)
<h3>How to find the coordinates of B'?</h3>
The point P(x, y) may undergo translation to form P' by using a defined translation rule :
If given the rule T(a, b) synch that P undergoes translation on T; then we will have P'(x+a; y+b)
Therefore,
The point B has its coordinates as B(1, - 5)
Translation rule, T(2, - 7) then the coordination of B after undergoing transformation according to T2;
B(1, - 5) - - - > T(2, - 7) - - - - > B'(1+2 ; - 5+-7)
= B'(3, -12)
Hence, the coordinates of B' are 3 and -12. so option D is correct.
Learn more about the concept :
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Answer:
55/4
Step-by-step explanation: