9514 1404 393
Answer:
x = √70
Step-by-step explanation:
The right triangles are all similar, so we can write the ratio of long side to hypotenuse as ...
x/(7+3) = 7/x
x^2 = 7(10) = 70
x = √70
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<em>Additional comments</em>
This is called a "geometric mean", where x is the square root of the product of two numbers, 7 and 10. Those happen to be the lengths of the adjacent segment of the hypotenuse and the whole hypotenuse.
The same relation holds for BC:
BC = √(CD·CA)
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A slightly different geometric mean relation holds for the altitude BD:
BD = √(DC·DA)
Y=a(x-h)^2+k
-5=a(1-0)^2+2
-5=a+2
-3=a
y=-3x^2+2
Answer:
12
Step-by-step explanation:
substitute
4(4-1)
4(3)
12
Answer: 4.2 yards
Step-by-step explanation:
Let x = length of the Flores' lawn in yards.
Then, Area of lawn = 4x sq. yard [Area of rectangle = width x length , here width = 4 yds (given)]
Charge per square yard = $1.25
Charge for Flores lawn = 1.25 × (Area of lawn)
= 1.25 (4x)
= 5x
As per given,
Hence, the length of the Flores's lawn = 4.2 yards
