The area of the wall is 92,322
Answer:
10)
No. Since the garage is a square, the length and width are the same. And since the formula to find the area of a square is (length times width) l x w , that means that the square root of 121 would be the length and width of the garage. The square root of 121 is 11, concluding that the car that measures 13 feet long is too large.
11)
7. its the square root of 49, which is the closest to 55.
hope this helps!
9514 1404 393
Answer:
162 degrees
Step-by-step explanation:
Angles P and F are supplementary, so ...
3x^2 +12x = 180
x^2 +4x = 60
x^2 +4x -60 = 0
(x +10)(x -6) = 0
The useful value of x that makes this true is x=6.
The measure of angle Q is 3x, so is 3·6 = 18 degrees. The measure of angle S is the supplement to that:
∠S = 180° -18° = 162°
Given:
x and y are both differentiable functions of t.


To find:
The value of
.
Solution:
We have,
...(i)
At x=-1,




Divide both sides by 3.

Taking cube root on both sides.

So, y=2 at x=-1.
Differentiate (i) with respect to t.

Putting x=-1, y=2 and
, we get



Divide both sides by -8.


Therefore, the value of
is 36.
To evaluate the functions, set up the table shown below.
x: -10 -5 0 5 10
y=3x+8: -22 -7 8 23 38
y=4x+3: -37 -17 3 23 43
y=x²+6: 106 31 6 31 106
y=3x: -30 -15 0 15 30
y=4x: -40 -20 0 20 40
y=x²: 100 25 0 25 100
The function with the least value is y = 4x.
The function with the greatest value is y = x² + 6.
Answer:
In ascending order, the functions are
4x
4x + 3
3x
3x + 8
x²
x² + 6