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3 years ago

Simplify the screenshot below

Mathematics

1 answer:

djyliett [7]3 years ago

6 0

Answer:

-4x - 16y

Step-by-step explanation:

Given:

-4(3x - 2x + 4y)

Required:

Simplify

Solution:

To simplify, apply the distributive property by multiplying every term that is inside the brackets by -4

Thus:

-4*3x -4*-2x -4*+4y

-12x + 8x - 16y

Add like terms

-4x - 16y

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The number |x| is the distance between 0 and x. It can never equal a ____ number.

ololo11 [35]

Answer:

Negative number

Step-by-step explanation:

For example, |-5| = 55. This is because -5 is considered to be 5 units away from 0.

If this helps mark me brainliest please.

5 0

3 years ago

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Tenths and hundredth

Marta_Voda [28]

19. No
20. No
21. Yes
23. 1.8 miles

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3 years ago

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Need an answer, please need an answer, please

inna [77]

Answer:

Step-by-step explanation:

3x² - 11x - 4 = 0

a = 3 ; b = -11 , c = -4

$Sum \ of \ roots = \dfrac{-b}{a}=\dfrac{-(-11)}{3}=\dfrac{11}{3}\\\\Product \ of \ roots =\dfrac{c}{a}=\dfrac{-4}{3}\\\\$

8x² + 12x = -1

8x² + 12x + 1 = 0

a = 8 ; b = 12 ; c = 1

$Sum \ of \ roots =\dfrac{-b}{a}=\dfrac{-12}{8}=\dfrac{-3}{2}\\\\Product \ of \ roots = \dfrac{c}{a}=\dfrac{1}{8}$

x² + x = 6

x² + x - 6 = 0

a = 1 ; b= 1 ; c = -6

$Sum \ of \ roots = \dfrac{-1}{1}=-1\\\\Product \ of \ roots = \dfrac{-6}{1}=-6$

x²- 2x - 2 =0

a = 1 ; b = -2 ; c = -2

$Sum \ of \ roots = \dfrac{-(-2)}{1}=2\\\\Product \ of \ roots = \dfrac{-2}{1}=-2$

4x - 5 = -4x²

4x² + 4x - 5 = 0

a = 4 ; b = 4 ; c = -5

$Sum \ of \ roots = \dfrac{-4}{4}=-1\\\\Product \ of \ roots=\dfrac{-5}{4}$

12x² +x -6 = 0

a = 12 ; b = 1 ; c = -6

$Sum \ of \ roots =\dfrac{-1}{12}\\\\Product \ of \ roots =\dfrac{-6}{12}=\dfrac{-1}{2}$

2x² + 5x - 25 = 0

a = 2 ; b = 5 ; c = -25

$Sum \ of \ roots=\dfrac{-5}{2}\\\\Product \ of \ roots =\dfrac{-25}{2}$

6x² -5x - 4 = 0

a = 6 ; b = -5 ; c = -4

$Sum \ of \ roots =\dfrac{-[-5]}{6}=\dfrac{5}{6}\\\\Product \ of \ roots = \dfrac{-4}{6}=\dfrac{-2}{3}$

8 0

2 years ago

Read 2 more answers

Which of the follow triangles is similar to APOR?

Paul [167]

Answer:

Step-by-step explanation:

For each triangle, you are given two sides and the included angle (the one between those 2 sides). That's side-angle-side, so it is S-A-S.

The SAS Rule for Similar Triangles says that for 2 triangles X and Y, if you have the SAS of one and the SAS of the other, then X and Y are similar (same shape and proportions) if

(a) the angle in X is congruent (same) as the angle in Y

(b) the ratio between the two given sides in X is the same as the ratio between the two given sides in Y

For this particular problem, the ratio PR/PQ = 18/21 = 6/7 if you simplify by dividing both top and bottom by 3.

So we are looking for another triangle where we have the same ratio. (Put the smaller number on top, in the fraction.)

Answer A: 12/15 simplifies to 4/5, wrong answer

Answer B: 9/12 simplifies to 3/4, wrong answer

Answer C: 6/10 simplifies to 3/5, wrong answer

Answer D: 15/17.5 looks harder, because there is a decimal in it. But we know 17.5 is just 17 and a half, so I would first multiply top and bottom by 2

We get 30/35. That looks a lot better. Now it is easier to see we can divide both top and bottom by 5.

We get 6/7! That is the correct answer, so D is the triangle similar to PQR.

7 0

3 years ago

Please help me on this

Readme [11.4K]

For this case we have to define root properties:

$\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a$

In addition, we know that:

$a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}$

On the other hand:

$4 ^ 2 = 16$

Thus, we can rewrite the given expression as:

$\sqrt {4 ^ 2 * a ^ 8 * \frac {1} {b ^ 2}} =\\4 ^ {\frac {2} {2}} * a ^ {\frac {8} {2}} * \frac {1} {b ^ {\frac {2} {2}}} =\\4 * a ^ 4 * \frac {1} {b}$

ANswer:

Option B

3 0

3 years ago