Step-by-step explanation:
because we can also find out the value of x in second equation like this
3x=21
x=21/3
x=7
Answer:
(3,-3)
Step-by-step explanation:
If a coordinate (x, y) is dilated by a factor k, the resulting coordinate will be (kx, ky)
Given the coordinate (1, -1), if dilated by a factor of 3, the resulting coordinate will be (3(1), 3(-1)) = (3, -3)
Hence the required coordinate will be (3,-3)
Answer:
The perimeter is 38.25 units
Step-by-step explanation:
The perimeter of the tra-pezoid is the distance around it.
The length of the bases can be found using the absolute value method.
|RS|=|20-14|=6 units.
|TQ|=|22-8|=14
Recall the distance formula;

We use the distance to find the non parallel sides.
units.
and
units.
The perimeter of the tra-pezoid is
=14+10+6+8.25=38.25
Step-by-step explanation:
The formula for arc length [for the angle in degrees] is:

here,
= degrees
= radius
using this we'll solve all the parts:
r = 10, n = 20:


from here, it is just simplification:
2 and 360 can be resolved: 360 divided by 2 = 180

10 and 180 can be resolved: 180 divided by 10 = 18

finally, both 20 and 18 are multiples of 2 and can be resolved:

Option (E)
r=3, n=6:


Option (D)
r=4 n=7


Option (C)
r=2 n=x


Option (D)
r=y n=x


Option (E)