Answer: 10 units
Step-by-step explanation:
If the trail starts at R(-2, 4) and goes towards S(3, 4), the distance between the two points would be the sum of the absolute value of the x values. That means it's 2 + 3, which is 5. The distance between the 2 points is five. Doing the same thing with S(3, 4), and T(3, -1) but with the y values, you get 5. adding the 2 distances up you get:
5 + 5 = 10
Answer:
The area of the sector is 26.69
Step-by-step explanation:
First of all we need to calculate the area
To solve this problem we need to use the area formula of a circle:
a = area
r = radius = 3
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (3)²
a = 3.14 * 9
a = 28.26
The area of the circle is 28.26
A complete circle has 2pi radians
We divide 17/9 pi by 2pi and obtain the fraction of the total circle
(17pi/9) / 2pi = 17/18
we multiply this fraction with the area of the circle and obtain the area of the sector
28.26 * 17/18 = 12.43cm
The area of the sector is 26.69
3x_8=-26
3x=_26+8
3x=_18
x=_6
Step-by-step explanation:
5m4 + 7 - m3 + 7m3 - 7m2 + 1
Solving like terms
5m4 + 6m3 - 7m2 + 8
Distribute sum groups
5r(r^2 - 6r + 4) -4(r^2 - 6r + 4)
Distribute
5r^3 - 30r^2 + 20r - 4(r^2 - 6r + 4)
Distribute
5r^3 - 30r^2 + 20r - (4r^2 - 24r + 16)
Simplify brackets
5r^3 - 30r^2 + 20r - 4r^2 + 24r - 16
Collect like terms
5r^3 (-30r^2 - 4r^2) + (20 + 24r) - 16
Simplify
<u>5r^3 - 34r^2 + 44r - 16</u>
