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3 years ago

Given g(x) = 2x + 4, solve for x when g(x) = -8

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

4 0

Answer:

The value of x = -6

Step-by-step explanation:

Step(i):-

Given that g(x) = 2 x + 4 and g (x ) = -8

⇒ Equating

2 x +4 = - 8

Subtracting '4' on both sides, we get

2 x + 4 - 4 = -8 -4

⇒ 2 x + 0 = -12

⇒ 2 x = -12

Step(ii):-

Dividing '2' on both sides, we get

x = -6

The value of x = -6

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To solve the equation: 14 = t +72 This is a(n)

krek1111 [17]

Answer:

t=-58

Step-by-step explanation:

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2 years ago

You are graphing Square ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the square: A(4,

Vsevolod [243]

Answer:

D(4,-3)

Step-by-step explanation:

Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)

Let the coordinate of the fourth vertex be D(x,y).

We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.

The diagonals are BD and AC

Midpoint of BD = Midpoint of AC

$\left(\dfrac{8+x}{2},\dfrac{-7+y}{2}\right) =\left(\dfrac{4+8}{2},\dfrac{-7+(-3)}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(\dfrac{12}{2},\dfrac{-10}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(6,-5\right)\\$Therefore$:\\\dfrac{8+x}{2}=6\\8+x=12\\x=12-8\\x=4\\$Similarly$\\\dfrac{y-7}{2}=-5\\y-7=-5*2\\y-7=-10\\y=-10+7=-3$

The coordinates of the fourth vertex is D(4,-3)

8 0

3 years ago

A roofer props a ladder against a wall so that the top of the ladder reaches a 30-foot roof that needs repair. If the angle of e

gizmo_the_mogwai [7]

Set this up like a right triangle with the height of the triangle as 30, the angle across from that side, the reference angle, as 55, and the base is your unknown, x. This means that we have the angle, the side across from it, and the side adjacent to it. That sounds like the tangent ratio to me! Tangent of the angle is the side opposite over the side adjacent: $tan(55)= \frac{30}{x}$ . Solving for x: $x= \frac{30}{tan(55)}$ . Do that on your calculator in degree mode to get that the distance between the base of the ladder and the wall is 21 feet

5 0

3 years ago

What is eight tenths -five tenths?

kondor19780726 [428]

Eight tenths minus five tenths equals three tenths.

6 0

2 years ago

1. What is an equation of the line through (3, 12) with slope = 3?

mafiozo [28]

Answer:

see below

Step-by-step explanation:

We can use point slope form

y - y1 = m(x-x1)

where m is the slope and ( x1,y1) is a point on the line

y-12 = 3(x-12)

If we want it in slope intercept form

Distribute

y-12 = 3x-36

Add 12 to each side

y-12+12 = 3x-36+12

y = 3x-24

8 0

3 years ago