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3 years ago

Solve for x x-4=-2x+9

Mathematics

1 answer:

Alinara [238K]3 years ago

6 0

Isolate the x. Add 2x to both sides, and 4 to both sides

x (+2x) -4 (+4) = -2x (+2x) + 9 (+4)

x + 2x = 9 + 4

3x = 13

Divide 3 from both sides

3x/3 = 13/3

x = 13/3

hope this helps

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Choose two angles that are each separately alternate exterior angles with 412.

Alborosie

Answer:

∠2 and ∠5

Step-by-step explanation:

we know that

<u>Alternate Exterior Angles</u> are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal

In this problem

∠12 and ∠2 are alternate exterior angles

∠12 and ∠5 are alternate exterior angles

therefore

∠2 and ∠5 are each separately alternate exterior angles with ∠12

6 0

3 years ago

Find the coordinates of the points of intersection of the graph of y=13−x with the axes and compute the area of the right triang

Ymorist [56]

the coordinates of the points of intersection of the graph of y=13−x with the axes

Given equation is y=13-x

x axis is x=0

y axis is y=0

Plug in the value of x =0 and find out y

y = 13 - x

y = 13 - 0 = 13

Plug in the value of y=0 and find out x

0 = 13 - x

x= 13

So coordinate axis

x= (13,0)

y= (0,13)

Base of the triangle is x=13

Height of the triangle is y= 13

Area of the triangle = $\frac{1}{2} * base * height$

= $\frac{1}{2} * 13 * 13$ = 84.5

Area of the triangle = 84.5

6 0

3 years ago

Toby just graduated from four years of college. at the beginning of each year, he took out a stafford loan with a principal of $

Mila [183]

If he starts paying after four years, the worth of the loans by then is b. $31,616.16

This refers to the amount collected from a lender to be repaid after a given time, usually with added interest.

Hence, we can see that:

The effective monthly interest rate is:

i = 0.053/12 = 0.0044

The effective annual interest rate is:

i = (1 + 0.0044)^12 -1 = 0.0543

The present worth of all the loans is:

P = 6125 + 6125 (1 + 0.0543)^-1 + 6125 (1 + 0.0543)^-2 + 6125(1 + 0.0543)^-3

P = $22,671.40

If he pays them prompty, then the total lifetime cost would be

P = 22671.40 (1 + 0.0543)^4 = $31,616.16