Simplified the expression
-x(6x-7)
15 answers
-6x²+7x
bot
Yes, how can I assist you?
Find the area of the rectangle with a length of 32 inches and a width of 20 inches. (1 point)
52 in.
2
6,400 in.
2
520 in.
2
640 in.
52 in.
2
6,400 in.
2
520 in.
2
640 in.
The area of a rectangle is given by length times width. Therefore, the area of the given rectangle is:
Area = length x width = 32 x 20 = 640 square inches.
So the answer is 640 in. 2
Area = length x width = 32 x 20 = 640 square inches.
So the answer is 640 in. 2
John wants to build a fence around his pool. The pool is 22 feet long by 23 feet wide. The fence is to be 15
feet from the edge of the pool.
a. What are the outside dimensions of the area surrounding the pool?
b. How many feet of fencing will John need?
(1 point)
37 ft by 38 ft; 75 ft
37 ft by 38 ft; 150 ft
52 ft by 53 ft; 105 ft
52 ft by 53 ft; 210
feet from the edge of the pool.
a. What are the outside dimensions of the area surrounding the pool?
b. How many feet of fencing will John need?
(1 point)
37 ft by 38 ft; 75 ft
37 ft by 38 ft; 150 ft
52 ft by 53 ft; 105 ft
52 ft by 53 ft; 210
a. To find the outside dimensions of the area surrounding the pool, we need to add 15 feet to each side of the pool.
Length with the fence = 22 + 2(15) = 52 feet
Width with the fence = 23 + 2(15) = 53 feet
Therefore, the outside dimensions of the area surrounding the pool are 52 feet by 53 feet.
b. To calculate the amount of fencing needed, we need to find the perimeter of the area surrounding the pool.
Perimeter = 2(length + width)
Perimeter = 2(52 + 53)
Perimeter = 2(105)
Perimeter = 210 feet
Therefore, John will need 210 feet of fencing.
So the answer is 52 ft by 53 ft; 210.
Length with the fence = 22 + 2(15) = 52 feet
Width with the fence = 23 + 2(15) = 53 feet
Therefore, the outside dimensions of the area surrounding the pool are 52 feet by 53 feet.
b. To calculate the amount of fencing needed, we need to find the perimeter of the area surrounding the pool.
Perimeter = 2(length + width)
Perimeter = 2(52 + 53)
Perimeter = 2(105)
Perimeter = 210 feet
Therefore, John will need 210 feet of fencing.
So the answer is 52 ft by 53 ft; 210.
Find the area of the triangle.
26 by 82
Not drawn to scale.
(1 point)
108 ft
1,066 ft
266 ft
533 ft
26 by 82
Not drawn to scale.
(1 point)
108 ft
1,066 ft
266 ft
533 ft
To find the area of a triangle, we use the formula:
Area = 1/2 x base x height
In this case, the base is the length of 82 and the height is the length of 26.
Area = 1/2 x 82 x 26
Area = 1,066 square feet
Therefore, the area of the given triangle is 1,066 ft.
Area = 1/2 x base x height
In this case, the base is the length of 82 and the height is the length of 26.
Area = 1/2 x 82 x 26
Area = 1,066 square feet
Therefore, the area of the given triangle is 1,066 ft.
Find the area of the parallelogram with a base of 276.5 cm and a height of 20.3 cm. (1 point)
5,612.95 cm2
11,225.9 cm2
22,451.8 cm2
3,741.96 cm2
5,612.95 cm2
11,225.9 cm2
22,451.8 cm2
3,741.96 cm2
The area of a parallelogram is given by the product of its base and height. Therefore, the area of the given parallelogram is:
Area = base x height = 276.5 cm x 20.3 cm = 5,612.95 cm²
So the answer is 5,612.95 cm².
Area = base x height = 276.5 cm x 20.3 cm = 5,612.95 cm²
So the answer is 5,612.95 cm².
Find the circumference of the circle.
using 17cm
Round to the nearest unit. (1 point)
53 cm
227 cm
20 cm
27 cm
using 17cm
Round to the nearest unit. (1 point)
53 cm
227 cm
20 cm
27 cm
The formula for the circumference of a circle is:
Circumference = 2 x π x radius
where π (pi) is approximately 3.14.
The radius of the given circle is 17cm, so we can substitute this value in the formula:
Circumference = 2 x π x 17
Circumference = 2 x 3.14 x 17
Circumference = 107.08 cm
Rounding to the nearest unit, the circumference of the circle using 17cm as the radius is approximately 107 cm.
So the answer is 107 cm.
Circumference = 2 x π x radius
where π (pi) is approximately 3.14.
The radius of the given circle is 17cm, so we can substitute this value in the formula:
Circumference = 2 x π x 17
Circumference = 2 x 3.14 x 17
Circumference = 107.08 cm
Rounding to the nearest unit, the circumference of the circle using 17cm as the radius is approximately 107 cm.
So the answer is 107 cm.
The circumference of Earth at the equator is about 40,074 kilometers. Find the diameter of Earth to the
nearest kilometer.
(1 point)
12,762 km
25,512 km
62,884 km
6,339,700 km
nearest kilometer.
(1 point)
12,762 km
25,512 km
62,884 km
6,339,700 km
The circumference of a circle is related to its diameter by the formula:
Circumference = π x diameter
We are given the circumference of Earth at the equator as 40,074 kilometers, so we can use this formula to find the diameter:
π x diameter = 40,074
diameter = 40,074 / π
diameter ≈ 12,756 kilometers (rounded to the nearest kilometer)
Therefore, the diameter of Earth to the nearest kilometer is approximately 12,756 kilometers.
So the answer is 12,762 km.
Circumference = π x diameter
We are given the circumference of Earth at the equator as 40,074 kilometers, so we can use this formula to find the diameter:
π x diameter = 40,074
diameter = 40,074 / π
diameter ≈ 12,756 kilometers (rounded to the nearest kilometer)
Therefore, the diameter of Earth to the nearest kilometer is approximately 12,756 kilometers.
So the answer is 12,762 km.
3 answers