Answer:
A. ✓34
Step-by-step explanation:
The lengths of the legs of a right triangle are 3 and 5, the length of the hypotenuse will be:
= (✓(3² + 5²)
= ✓(9 + 25)
= ✓34
Answer:
Table:
1: f(x) = 5
2: f(x)= 6
5: f(x) = 9
Points: (1,5), (2,6), and (5,9)
Step-by-step explanation:
1. The function f(x) = x + 4 means that 4 is added to the input, x, to get the output, y.
Therefore, when x = 1 then f(x) = 5, x = 2 then f(x) = 6, and x = 5 then f(x) = 9.
2. Now, to find the points, we must know that x is the x-coordinate and f(x) is the y-coordinate of the point. Because of this, the points are:
Therefore, the points are (1,5), (2,6), and (5,9).
Answer:
For the y= x^2 x = -9 y = 81
Step-by-step explanation:
x^2
x=-9
-9^2
-9 * -9
=
81
Answer:
DA/dt = 37 / 18
Step-by-step explanation:
We have the following information:
Sides of the rectangle L = length w = width
Area of the rectangle is : A = L* w
the rate of growing of the length ( as function of time ) 1 mile in 6 years
we can express that as :
DL/dt = 1 /6
And the rate of growing of the width ( as function of time ) 1 mile in 9 years
Dw/dt = 1/9
In 1995 dimensions of the rectangle were
L = 5 miles and w = 9 miles
Then:
A = L * w Taking derivatives
DA/dt = L * Dw/dt + w * DL/dt
DA/dt = 5 * (1/9) + 9 * (1/6) ⇒ DA/dt = 5/9 + 9/6
DA/dt = 111 / 54 ⇒ DA/dt = 37 / 18
