Answer:
q = 1.
Step-by-step explanation:
y = (1 - 2q)x - 1
The slope of this line is 1 - 2q.
(2 - q)y = x + 5
y = x / (2 - q) + 5/(2 - q)
The slope of this line is 1/ (2 - q).
When lines are perpendicular the slopes m1 and m2 have the relation
m1 .m2 = -1, so
(1 - 2q) * 1/ (2 - q) = -1
1 - 2q = -2 + q
-3q = -3
q = 1.
The area of whole backyard:
a = 3x - 5
b = 4x - 10
a · b = (3x - 5) · (4x - 10) = 3x · 4x + 3x · (-10) - 5 · 4x - 5 · (-10) =
= 12x² - 30x - 20x + 50 = 12x² - 50x + 50
The area of swimming pool with patio:
a = x + 8
b = x - 2
a · b = (x + 8) · (x - 2) = x · x + x · (-2) + 8 · x + 8 · (-2) =
= x² - 2x + 8x - 16 = x² + 6x - 16
Then the area of the region they want ot cover with new grass is:
12x² - 50x + 50 - (x² + 6x - 16) = 12x² - 50x + 50 - x² - 6x + 16 =
= 11x² - 56x + 66
Answer:
utvut
Step-by-step explanation:
hvuyvytuccu
C. to the left
when the 2 is inside the absolute value it goes the opposite way so instead of right it would be to the left. If it were on the outside, then you would shift it up or down according to the + or -.
Answer:
<h3>x = <u>8</u></h3><h3> 3</h3>
Step-by-step explanation:
<h3><u>3</u> + 2 = 4</h3><h3>4</h3><h3>Subtract 2 from both sides of the equation. </h3><h3><u>3</u> x + 2 _ 2 = 4 _ 2</h3><h3>4</h3><h3>Simplify</h3>
<u>3</u> x = 2
4
<h3>Multiply all terms by the same value to eliminate fraction denominators. </h3>
<h3>3/4x = 2</h3>
<h3>4 × <u>3</u> = 4 × 2</h3><h3> 4 </h3><h3>Divide both sides of the equation by the same term. </h3>
<h3>3x = 8</h3>
<h3><u>3</u> x = <u>8</u></h3><h3>3 3</h3>
<h3>x = <u>8</u></h3><h3><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>3</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u></h3>