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4 years ago

Finding the slope in y- intercept form 2×+7y=21

1 answer:

4 0

To find the slope from an equation, solve the equation for y.
The equation will have the form y = mx + b, called the slope-intercept form.
Then m = slope.

Let's solve your equation for y.

$2x + 7y = 21$

Subtract 2x from both sides.

$7y = -2x + 21$

Divide both sides by 7.

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

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

Now compare the equation above to y = mx + b.
m is the number that multiplies x, and it is the slope.

$m = -\dfrac{2}{7}$

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Lines AD and EC meet at point B. Which of the following statements must be true? Select All that apply.

anastassius [24]

The angles produced are vertically opposite angles, thus opposite angles are congruent. The applicable statements are; A, B, C and D.

Lines AD and EC meeting at point B produces set of angles that are congruent (by vertical opposite property).

Now considering the given diagram, it can be observed that the following statements are applicable: A, B, C and D.

Option A is applicable because of the rigid transformation process of $180 ^{o}$ rotation about B.
Option B is applicable because D will be located on ray BA after the $180 ^{o}$ rotation.

Option C is applicable since both processes are true.
Option D is applicable since <ABC and <DBE are vertically opposite angles.
Option E is NOT applicable <ABC is NOT congruent to <ABE.

Visit: brainly.com/question/24728573

3 0

2 years ago

How to do an equation like this step by step? 4.5 (8 - x) + 36 = 100 - 2.5 (3x + 24)

Levart [38]

Answer:

x = -10.6667

Step-by-step explanation:

Solve for x:

4.5 (8 - x) + 36 = 100 - 2.5 (3 x + 24)

4.5 (8 - x) = 36 - 4.5 x:

36 - 4.5 x + 36 = 100 - 2.5 (3 x + 24)

Grouping like terms, -4.5 x + 36 + 36 = (36 + 36) - 4.5 x:

(36 + 36) - 4.5 x = 100 - 2.5 (3 x + 24)

36 + 36 = 72:

72 - 4.5 x = 100 - 2.5 (3 x + 24)

-2.5 (3 x + 24) = -7.5 x - 60:

72 - 4.5 x = -7.5 x - 60 + 100

Grouping like terms, -7.5 x - 60 + 100 = (100 - 60) - 7.5 x:

72 - 4.5 x = (100 - 60) - 7.5 x

100 - 60 = 40:

72 - 4.5 x = 40 - 7.5 x

Add 7.5 x to both sides:

7.5 x - 4.5 x + 72 = (7.5 x - 7.5 x) + 40

7.5 x - 7.5 x = 0:

7.5 x - 4.5 x + 72 = 40

Grouping like terms, 7.5 x - 4.5 x + 72 = (-4.5 x + 7.5 x) + 72:

(-4.5 x + 7.5 x) + 72 = 40

7.5 x - 4.5 x = 3 x:

3 x + 72 = 40

Subtract 72 from both sides:

3 x + (72 - 72) = 40 - 72

72 - 72 = 0:

3 x = 40 - 72

40 - 72 = -32:

3 x = -32

Divide both sides of 3 x = -32 by 3:

(3 x)/3 = (-32)/3

3/3 = 1:

x = (-32)/3

(-32)/3 = -10.6667:

Answer: x = -10.6667

3 0

3 years ago

Find the area of the polygon

Natali [406]

Answer:

20 cm^2

Step-by-step explanation:

Sectioned it off and multiplied the length by the width

5 0

4 years ago

Solve 5c − c + 10 = 34

PtichkaEL [24]

Let's solve your equation step-by-step.

5c−c+10=34

Step 1: Simplify both sides of the equation.

5c−c+10=34

Simplify: (Show steps)

4c+10=34

Step 2: Subtract 10 from both sides.

4c+10−10=34−10

4c=24

Step 3: Divide both sides by 4.

4c/4=24/4

c=6

Answer:

c=6

5 0

3 years ago

Read 2 more answers

Given g(x) = -3x – 4, find g(1). What is g(1)

lidiya [134]

Answer:

-7

Step-by-step explanation:

It just means put 1 for x so -3-4=-7

4 0

3 years ago