Answer and Explanation:
Since this is an isosceles right triangle, you can use the ratio of side lengths specific to this type of triangle where both legs are the hypotenuse over root 2:
u = v = 164√2 / √2 = 164
so:
u = 164
v = 164
48 ÷ 6 = 8
16 ÷ 2 = 8
So you need 8 vans
I hope that helps!
Answer:
(y+10)/5
Step-by-step explanation:
You start off by adding 10 on both sides cancelling the 10 on the right side and you get y+10=5x. From there you then divide by 5 on both sides and you get your answer of (y+10)/5.
We let x and y be the measures of the sides of the
rectangular garden. The perimeter subtracted with the other side should be
equal to 92.
<span> 2x + y = 92</span>
The value of y in terms of x is equal to,
<span> y =
92 – 2x</span>
The area is the product of the two sides,
<span>
A
= xy</span>
Substituting,
<span> A
= x (92 – 2x) = 92x – 2x2</span>
Solving for the derivative and equating to zero,
<span> 0
= 92 – 4x ; x = 23</span>
Therefore, the area of the garden is,
<span> A
= 23(92 – 2(23)) = 1058 yard<span>2</span></span>
Answer:
1
Step-by-step explanation:
Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.
The average value of a function f(x) over an interval [a, b] is
f(b) - f(a)
ave. val. = ---------------
b - a
which in this particular case is
19 - 30
ave. val. = ----------------- = -11/11 = 1
6 - (-5)
The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.
