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Reil [10]
3 years ago
12

Find the graph of y=-3/4X-2

Mathematics
1 answer:
morpeh [17]3 years ago
3 0
To graph the line y=- \frac{3}{4}x-2 we are going to take advantage of the fact that its y-intercept is -2 when x=0, so our first point is (0,-2). To find our second point, we are going to find the x-intercept; to do it, we are going to set y=0 and solve for x:
y=- \frac{3}{4}x-2
0=- \frac{3}{4}x-2
2=- \frac{3}{4}x
x= \frac{2}{- \frac{3}{4} }
x=- \frac{8}{3}
Now that we have our second point (0,- \frac{8}{3} ), we just need to join our two points with a straight line.

We can conclude that the graph of <span>y=-3/4X-2 is:</span>

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The figure, polygon ABCD is dilated by a factor of 2 to produce A B C D with the origin as the center of dilation
cestrela7 [59]

In the polygon ABCD, the production of point A' and point D' is (-2,-2)  and (4,-2) respectively.

<h3>What is the transformation rule?</h3>

In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:

\mathbf{(x,y) \to  (k_x, k_y)}

where;

  • k = scale factor

From the given information:

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  • the origin as a center of dilation for image vertices = (0, 0)

Now, using the coordinate vertices:

  • A = (-1, -1)
  • D = (2, -1)

The corresponding coordinate of the image vertices is as follows:

A(-1,-1) → A'(2 × (-1), 2 × (-1))

A' = (-2,-2)

D(2,-1) → A'(2 × (2), 2 × (-1))

D' = (4,-2)

Learn more about the transformation rule in coordinate planes here:

brainly.com/question/4251601

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7 0
2 years ago
At a local swim club you can purchase an annual membership for 24 dollars which will allow you 1 dollar admission to the pool al
777dan777 [17]

Answer:

6 times

Step-by-step explanation:

Let the number of times you visit the pool = x

At a local swim club you can purchase an annual membership for 24 dollars which will allow you 1 dollar admission to the pool all summer.

= $24 + $1× x

= 24 + x

If you do not purchase the membership the pool admission is 5 dollars.

= 5 × x

= 5x

Hence:

24 + x = 5x

Collect like terms

24 = 5x - x

4x = 24

x = 24/4

x = 6 times

The number of times you must visit the pool with a membership that would equal the cost of paying full price is 6 times.

7 0
3 years ago
Ramona completed all 30 questions on the test. If 5/6 of the questions were correct, how many questions
Nitella [24]

Answer:

r

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Complete the point-slope equation of the line through (-8,-8) and (-7,9)
denis23 [38]

Step-by-step explanation:

point slope formula: y-y1=m(x-x1)

m= y2-y1/x2-x1

input numbers

so slope:

m=(9--8)/(-7--8)

(-)×(-)=+

(+)×(-)=(-)

so m=17/1

m=17

now point slope

y--8=17(x--8)

y+8=17x+136

to get y alone we have to use opposite operations

y and 8 are adding so we need to subtract on both sides

y+8-8=17x+136-8

y=17x+128

5 0
2 years ago
What is the unit price for 12 apples for $3.12?
horsena [70]

Answer:

$3.85? 12/3.12 = $3.85

The answer would have came out of 3.84615384615

Then round up the answer to 3.85.  So the unit price is $3.85.

7 0
3 years ago
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