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3 years ago

What is 4x-18 rewritten 4 different ways?

Mathematics

1 answer:

nasty-shy [4]3 years ago

7 0

-18+4x
2(2x-9)
4x=18
-4x=-18
x=18/4
-x=-18/4

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Can anyone help me with this problem ?

Elena L [17]

Come now ! I'm sure you could unravel it if you look at it and think about it
for a minute or two.

What's an angle bisector ? It's a line that splits an angle exactly in half.
The two little angles on each side of it are EQUAL. Each of them is exactly
half of the big angle.

So in this drawing, (3/2 x - 6) is equal to (1/4 x + 4) .
Do you think you could find 'x' ?

3/2 x - 6 = 1/4 x + 4

Add 6 to each side of the equation: 3/2 x = 1/4 x + 10

Multiply each side by 4 : 6 x = x + 40

Subtract 'x' from each side: 5 x = 40

Divide each side by 5 : x = 8

Angle CBD is 1/4 x + 4 . That's 1/4 (8) + 4 = 2 + 4 = <u>6 degrees </u>

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3 years ago

In angle abc ,m angle A = 17 and m angle B = 100 what is the measure of angle C

Alchen [17]

Angle C equals 63
Add angle 17 plus 100 and the subtract the answer from 180. Because a triangles are always 180 degrees

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3 years ago

If y varies with x, and y=-20 and x=5, what is x when y=-30?

vladimir1956 [14]

If y = -30, then x = 7.5

Hope this helps.

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3 years ago

](6^3 - 9)/23]4<br><br> Evaluate this expression

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3 years ago

PLS HELP ILL GIVE BRAINLIEST

inysia [295]

<h3>Answer: 14x - 8</h3>

=======================================================

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

The equation is of the form ax^2+bx+c = 0

a = 12
b = -11
c = -5

This leads to...

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}$

Now use those roots to form these steps

$x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\\\\4x = 5 \ \text{ or } \ 3x = -1\\\\4x - 5 =0 \ \text{ or } \ 3x+1 = 0\\\\(4x-5)(3x+1) = 0$

Refer to the zero product property for more info.

Therefore, the original expression factors fully to (4x-5)(3x+1)

Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.

----------------------------------------------

We did that factoring so we could find the side lengths of the rectangle.

I'm using the fact that area = length*width

L = length = 4x-5
W = width = 3x+1

The order of length and width doesn't matter.

From here, we can then compute the perimeter of the rectangle

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

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2 years ago