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NNADVOKAT [17]
2 years ago
10

Tell whether the linear equation is in slope-intercept form, point-slope form, or standard form.

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
3 0

Answer:

Standard form

Step-by-step explanation:

In this question, we have to figure out what form the equation is.

Our options are: point-slope form, slope-intercept form, and standard form.

Our forms are structed as followed below:

Point-slope form: y - y1 = m(x - x1)

Slope-intercept form: y= mx + b

Standard form: Ax + By = C

Now, we just need to find out which form the equation resembles.

You would notice that the linear equation "2x + 4y = 12" follows the structure of the standard form.

Side-by-side comparison:

2x + 4y = 12

Ax + By = C

Therefore, your answer would be standard form.

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What is the width of the rectangle shown below? <br>4x + 3 <br>A = 8x2 – 10x – 12
ozzi

Answer:

<h2><em>2x-4</em></h2>

Step-by-step explanation:

Area of a rectangle = Length * Width

Given parameters

Area A = 8x2 – 10x – 12

Length of the rectangle = 4x+3

Required

Width of the rectangle.

Substituting the given parameters into the formula

8x2 – 10x – 12  = (4x+3)*width

width = 8x2 – 10x – 12 /4x+3

S

Factorizing the numerator

8x² – 10x – 12

= 2(4x²-5x-6)

= 2(4x²-8x+3x-6)

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

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

Width = 2(4x+3)(x-2)/4x+3

Width = 2(x-2)

Width = 2x-4

<em>Hence the width of the rectangle is 2x-4</em>

8 0
3 years ago
Nick's dad wanted to measure the length of his backyard and asked Nick to do this with his footsteps. Since it was winter, they
Lerok [7]

Answer:

2244 cm

Step-by-step explanation:

The first first thing we must do is find the LCM of the following numbers

(51; 68) = 204.

This means that the first time they coincide is at 204.

Now, since his steps always coincide after 204

In Nick's case

Nick's 204 ÷ 51 = 4th step

and in the case of the father

204 ÷ 68 of his father = 3rd step.

Which means that in the 204 cm distance, there will be a total of 6 foot steps, except in the first 204 cm when your "initial" step is counted.

Replacing these values we have that the total distance will be:

67-1 (initial step) / (6 * 204) = 2244 cm

7 0
3 years ago
That copy machine is quick! It copied 90 pages in 3 minutes. How many copies can it make in 1 minute?
earnstyle [38]

Answer:

30 copies.

Step-by-step explanation:

Let's represent p as pages and c as copies

90p = 3 m

m = 90/3

m = 30

7 0
2 years ago
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Can someone help me? I’ll reward points + brainalist
salantis [7]

Answer:

C

Step-by-step explanation:

radius squared * pi = 63.585

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In Hugo’s pencil pouch, 3/5
Anna [14]

Answer:

6?

Step-by-step explanation

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