What is the solution to the system of equations below? y=1/2x-4 and y=-2x-9 a) (-2,-5) b) (-2,-3) c) (2, -3) d (2,-13)

(-2,-5)

Step-by-step explanation:

y=1/2x-4 and y=-2x-9

Just substitute one into the other and then solve for x. Then go back to get y.

1/2x-4=-2x-9

Add 4 on both sides

1/2x =-2x-5

Add 2x on both sides

2.5x=-5

Divide both sides by 2.5

x=-5/(2.5)=-2

Plug into y=-2x-9 to find y.

y=-2(-2)-9=4-9=-5.

Answer (-2,-5)

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

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: