Answer:
any # where -2<=x<7
Step-by-step explanation:
(x-7) would be negative and (x+3) positive, resulting in f(x) being negative.
Step-by-step explanation:
We have that point A is at 3.
This is 3 units to the right of 0 on the number line.
The point that is opposite of A should be 3 units to the left of 0.
That point will be at -3.
Therefore you have to choose the point that is on -3.
It should be similar to one in the attachment.
Answer:
36 ft by 16 ft
Step-by-step explanation:
To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.
The area is the product of length and width, so if w represents the width, we have ...
w(52 -w) = 576
w² -52w = -576 . . . . . eliminate parentheses, multiply by -1
w² -52w +26² = 26² -576 . . . . . . complete the square
(w -26)² = 676 -576 = 100
w = 26 ±√100 = {16, 36}
If the width is the short dimension, it is 16 feet. Then the length is 36 feet.
Answer:
The tip of the minute hand travels 20.9 inches.
Step-by-step explanation:
We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.
<u>So, firstly we will find the circumference of circle;</u>
Circumference of circle (C) =
{where r is radius of circle}
=
{given r = 8 inches long}
=
Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents
which is
of the circumference, that means;
The length of arc from time 12:00 to 12:25 =
=
=
= 6.67
Now, assuming value of
= 3.14; so 6.67
=
= 20.9 inches (in nearest tenth)
Hence, the tip of the minute hand travels 20.9 inches.
Step-by-step explanation:
The ratio of the perimeters = the scale
P₂ / P₁ = 6 / 4 = 3 / 2
The ratio of the areas = the square of the scale
A₂ / A₁ = (6 / 4)² = (3 / 2)² = 9 / 4
Same for the triangles:
P₂ / P₁ = 6 / 3 = 2
A₂ / A₁ = (6 / 3)² = (2)² = 4