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3 years ago

Question is in the picture

Mathematics

1 answer:

Vinil7 [7]3 years ago

8 0

Answer:

y=1/3x -4

Step-by-step explanation:

3y-x=-12

y= 1/3x-4

m=1/3

(gradient is the same since its parallel)

y=mX+c

(2) = 1/3(18) + c

2 = 6 + c

2 - 6 = c

c= -4

(y-intercept)

Therefore: y=1/3x-4

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Give 3 examples of integers which are less than or equal to 1

hichkok12 [17]

Answer:

1 -2 -5

Step-by-step explanation:

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3 years ago

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Let w represent the possible weights of boxes on a delivery truck. For this type of delivery, the weight of the box must be with

Paraphin [41]

The answer is B. |w – 48| ≤ 8.

w - the weight of the box
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The weight of the box must be within 8 pounds of a standard lifting weight of 48 pounds: |w – 48| ≤ 8

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3 years ago

What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3) ?

Lisa [10]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the figure, the line goes through the following points:

$(x_ {1}, y_ {1}) :( 8, -10)\\(x_ {2}, y_ {2}): (- 8,10)$

We found the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {10 - (- 10)} {- 8-8} = \frac {10 + 10 } {- 16} = \frac {20} {- 16} = - \frac {5} {4}$

By definition, if two lines are perpendicular then the product of their slopes is -1:

$m * - \frac {5} {4} = - 1\\m = \frac {-1} {- \frac {5} {4}}\\m = \frac {4} {5}$

Thus, the equation is of the form:

$y = \frac {4} {5} x + b$

If the line goes through $(x, y) :( 5,3)$ we have:

$3 = \frac {4} {5} (5) + b\\3 = 4 + b\\3-4 = b\\-1 = b$

Finally, the equation is:

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Answer:

Option A

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4 years ago

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zmey [24]

4x-3 is the answer. Hope this helps:)

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4 years ago

Two parallel lines are cut by a transversal,

Volgvan

Answer:

also 75°

Step-by-step explanation:

the angles across each other at a crossing point of 2 lines must be equal.

so, 2 = 3.

and the angles at the crossing point with a parallel line are simply a "mirror" or rather a copy of the angles at the crossing point with the first line.

so, 2 = 3 = 6 = 7

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2 years ago