Answer:
3.41 feet
Step-by-step explanation:
Area = Length × Breath
Area of the rectangular lawn = 100 × 50
= 5000 feet²
The sidewalk must occupy an area no more than 10% of the total lawn area.
So, the area of the sidewalk would be not more than = 10% × 5000
= 0.10 × 5000
= 500 feet²
Let the width of the sidewalk = x feet
area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)
(100 × x) + ((50 - x) × x) < 500
100x + (50-x)(x) < 500
-x² + 150x < 500
-x² + 150x = 500
-x² + 150x - 500 = 0
By using quadratic formula
or 
x = 3.41089 ≈ 3.41 feet or x = 146.58
Therefore, width of the sidewalk would be 3.41 feet.
It’s 12
On the first side (smaller triangle/ ABC) the give you one side that equals 4 and on the next triangle (bigger triangle/ DEF) it’s 8 meaning you’re going to multiply each corresponding side by 2
27/64 . because you do 3/4 to the third power (3x) which gives you that
Answer:
Step-by-step explanation:
P(-2,-1) and Q(4,3)
average of x-coordinates = (-2+4)/2 = 1
average of y-coordinates = (-1+3)/2 = 1
midpoint of PQ: (1,1)
distance between midpoint and Q = √((4-1)²+(3-1)²) = √13
(x-1)² + (y-1)² = 13
Answer: <em>y = 2x − 4</em>
The correct answer is <em>B)</em> <em>y = 2x − 4</em>
Step-by-step explanation:
<u>Move all terms that don't contain y to the right side and solve:</u>
<em>y = −4 + 2x</em>
<u>Then reorder −4 and 2x:</u>
<em>y = 2x − 4</em>
<u>Final answer is:</u>
<em>B) y = 2x − 4</em>
