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2 years ago

Can someone please help me? And it says “Solve each equation. Then, prove that your answer solves the original equation?

Mathematics

1 answer:

Viefleur [7K]2 years ago

4 0

Step-by-step explanation:

We need to solve each equation.

a. 6c = 30

c = 30/6 = 5

2d-6=12

Adding 6 both sides

2d-6+6=12+6

2d = 18

d = 9

$\dfrac{x}{3}+9=2\\\\\dfrac{x}{3}=-7\\\\x=-21$

50=14+3m

50-14=3m

36=3m

m = 12

Hence, this is the required solution.

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4w^2+49=-28w solve for w plz answer

boyakko [2]

Move all terms to one side

4w^2 + 49 + 28w = 0

Rewrite 4w^2 + 49 + 28w in the form a^2 + 2ab + b^2, where a = 2w and b = 7

(2w)^2 + 2(2w)(7) + 7^2 = 0

Use the Square of Sum: (a + b)^2 = a^2 + 2ab + b^2

(2w + 7)^2 = 0

Take the square root of both sides

3w + 7 = 0

Subtract 7 from both sides

2w = -7

Divide both sides by 2

w = -7/2

3 0

3 years ago

I don’t understand none of this math

Ivan

Answer:

Step-by-step explanation:

(a^3 - b^3)/5

Let a =2 and b = -3

(2^3 - (-3)^3)/5

Exponents inside the parentheses

(8 - -27)/5

Subtracting a negative is like adding

(8+27)/5

Finish adding inside the parentheses

35/5

Divide

4 0

3 years ago

Read 2 more answers

Which graph best represents the following equation Y+4=|x+2|

oksian1 [2.3K]

The first one as when |x+2| the graph would be from x=-2 "shifting left by 2" and then we subtract 4 from both sides so Y=|x+2|-4 and this accounts for shifting the graph four units down.

8 0

3 years ago

At a conference, there are 121 math teachers and 33 science teachers. Write the ratio of math teachers to science teachers in si

user100 [1]

Answer:33:1
Step-by-step explanation: the are 121 math teachers and there are 33 science teachers so that is 121:33 divide both numbers by 33 which is their highest common multiple and the result is 33:1

6 0

3 years ago

Use lengths |OQ| = 9.4 units and |OQ’| = 17.1 units to determine the scale factor r of dilation D (round to the nearest hundredt

NNADVOKAT [17]

Answer:

Scale factor = 1.82 units.

Step-by-step explanation:

We have been given that side length OQ of our prei-mage is 9.4 units and side length OQ' after dilation is 17.1 units. Since our pre-image (original image) is smaller than our new image, so our scale factor (r) will be greater than 1.

Since we know that in a dilation, the sides of the pre-image and the corresponding sides of the image are proportional, so we will use proportion to find a scale factor our given side lengths as:

$\frac{OQ'}{OQ}=\frac{17.1}{9.4}$