Answer:
-16
Step-by-step explanation:
So let’s solve for 7x. So 7x=34. So 7x-50 is 34-50 or -16
Let the side of the garden alone (without walkway) be x.
Then the area of the garden alone is x^2.
The walkway is made up as follows:
1) four rectangles of width 2 feet and length x, and
2) four squares, each of area 2^2 square feet.
The total walkway area is thus x^2 + 4(2^2) + 4(x*2).
We want to find the dimensions of the garden. To do this, we need to find the value of x.
Let's sum up the garden dimensions and the walkway dimensions:
x^2 + 4(2^2) + 4(x*2) = 196 sq ft
x^2 + 16 + 8x = 196 sq ft
x^2 + 8x - 180 = 0
(x-10(x+18) = 0
x=10 or x=-18. We must discard x=-18, since the side length can't be negative. We are left with x = 10 feet.
The garden dimensions are (10 feet)^2, or 100 square feet.
Answer:
C. Both (1, 11) and (-1, -5)
Step-by-step explanation:
The missing options are:
<em>
A. Only (1, 11)
</em>
<em>B. Only (-1, -5) </em>
<em>C. Both (1, 11) and (-1, -5)
</em>
<em>D. Neither </em>
To check if an ordered pair is a solution of an equation, replace one variable into the equation an calculate the other one.
Replacing x = 1, we get:
y = 8(1) + 3
y = 11
then (1, 11) is a solution
Replacing x = -1, we get:
y = 8(-1) + 3
y = -5
then (-1, -5) is a solution
Step-by-step explanation:
(x+y²)²=x²+2xy²+y⁴
HOPE IT HELPS YOU
..........................
Answer:
X= 67
Y= 121
Z= 80
Step-by-step explanation:
To find Y:
(y-9) and 112 are congruent so
y-9=112
y=121
To find Z: (consecutive)
180=121+z+3
180=124+z (combine like terms)
subtract 124 to cancel and move to other side of equation
z= 80
To find X: (consecutive)
180=112+x+1
180=113+x (combine like terms)
subtract 113 to cancel out and move to their side of equation
x = 67
