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3 years ago

Find the value for q for the following equation: 15q – 16 = 4(2q + 3)

Mathematics

2 answers:

Mars2501 [29]3 years ago

4 0

Answer:
Q=4
15q-16=8q+12
7q-16=12
7q=28
Q=4

TEA [102]3 years ago

3 0

Step 1: Multiply 4 by 2q and 3

Now your equation is 15q - 16 = 8q + 12

Step 2: Subtract 8q from both sides

Now your equation is 7q - 16 = 12

Step 3: Add 16 to both sides

Now the equation is 7q = 28

Step 4: Divid each side by 7

Q= 4

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8 0

3 years ago

Read 2 more answers

What is the slope y+2=1/4(x-3)

ioda

Answer:

$m=\frac{1}{4}$

Step-by-step explanation:

Given

$y+2=\frac{1}{4}(x-3)$

Required

Find the slope

$y+2=\frac{1}{4}(x-3)$

Subtract 2 from both sides

$y+2-2=\frac{1}{4}(x-3) - 2$

$y=\frac{1}{4}(x-3) - 2$

Open bracket

$y=\frac{1}{4}x-\frac{1}{4}*3 - 2$

$y=\frac{1}{4}x-\frac{3}{4} - 2$

Take LCM

$y=\frac{1}{4}x+\frac{-3 - 8}{4}$

$y=\frac{1}{4}x+\frac{-11}{4}$

$y=\frac{1}{4}x-\frac{11}{4}$

An equation has the form:

$y = mx + b$

Where

$m = slope$

By comparing: $y = mx + b$ and $y=\frac{1}{4}x-\frac{11}{4}$

$m=\frac{1}{4}$

<em>So, the slope is 1/4</em>

6 0

3 years ago

△ABC≅△DEF, BC=4x−12, and EF=−3x+16. Find x and EF.

kirill [66]

x = 4 and EF = 4 ⇒ 3rd answer

Step-by-step explanation:

If two triangles are congruent, then

1. Their corresponding sides are equal

2. Their corresponding angles are equal

3. Their areas and perimeters are equal

∵ △ ABC ≅ △ DEF

∴ AB ≅ DE

∴ BC ≅ EF

∴ AC ≅ DF

∵ BC = 4 x - 12

∵ EF = -3 x + 16

∵ BC = EF

∴ 4 x - 12 = -3 x + 16

Let us solve the equation to find x

∵ 4 x - 12 = -3 x + 16

- Add 3 x for both sides

∴ 7 x - 12 = 16

- Add 12 to both sides

∴ 7 x = 28

- Divide both sides by 7

∴ x = 4

Substitute the value of x in the expression of EF

∵ EF = -3 x + 16

∵ x = 4

∴ EF = -3(4) + 16 = -12 + 16

∴ EF = 4

x = 4 and EF = 4

Learn more:

You can learn more about congruence of Δs in brainly.com/question/3202836

#LearnwithBrainly

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3 years ago