The dimensions of a triangle are shown below. if the height of the triangle is increased by the factor of 4, which statement will be true about the area of the triangle?

a. the area will increase by a factor of 2.
b. the area will increase by a factor of 4.
c. the area will increase by a factor of 8
d. the area will not change

Option B. The area will increase by a factor of 4

Step-by-step explanation:

we know that

The area of triangle is equal to

where

b is the base of triangle

h is the height of triangle

If the height of the triangle is increased by the factor of 4

then

The new area of the triangle will be

The new area is 4 times the original area

therefore

The area will increase by a factor of 4

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2