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11Alexandr11 [23.1K]
3 years ago
9

Write a the equation of a line perpendicular to the line y=-7 and goes through the point (-2,3)

Mathematics
1 answer:
kap26 [50]3 years ago
6 0

Answer:

y = 3x + 2

Step-by-step explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2.  The old slope is –1/3 and the new slope is 3.  Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

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Figure
ludmilkaskok [199]

Answer:

  • a rotation, followed by a translation
  • a translation, followed by two reflections

Step-by-step explanation:

The rigid motions are the transformations that produce congruent images.

There are three main kinds of rigid motions  :

  • Reflections : Flips a figure across a line of reflection.
  • Rotations : Rotates a figure about some degrees around a center point.
  • Translations : Moves figure on a plane about some distance in a certain direction.

But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.

So, the options having dilation and term "stretch" cannot produce congruent figures.

Hence, the correct options are :

  • a rotation, followed by a translation
  • a translation, followed by two reflections
5 0
3 years ago
Triangle MRN is created when an equilateral triangle is folded in half.
Rus_ich [418]

The value of y based on the values given ib the equilateral triangle will be 4.

<h3>How to illustrate the triangle?</h3>

From the information given, MN is one of the sides of the equilateral triangle. Therefore, side MR will be:

= 1/2 × 8 = 4

In the above, it should be noted that MR was calculated since it's half of the value of MN which is 8.

Here, value of y based on the values given ib the equilateral triangle will be 4.

Learn more about triangles on:

brainly.com/question/17335144

#SPJ1

6 0
2 years ago
Question<br> What is the factored form of this polynomial?<br> p(x) = x + 7x2 + 4x - 12
Soloha48 [4]

Answer:

^(3)+7x^(2)+4x-12

Step-by-step explanation:

8 0
3 years ago
Hope researches the impact of one variable on another. She graphs the data from her research and sees that the data forms a shap
zaharov [31]

Answer:

She can determine that while there is an association between the variables, there is no correlation, and she cannot determine causation.

Step-by-step explanation:

Since there is an arch shape to her graph, we know that as one variable changes, the other changes in the same manner. This means there is an association between the variables.

However, since the graph is not linear, there is no correlation between the variables. Since there is no correlation, we cannot determine causation.

Mark me as brainiest

6 0
3 years ago
Read 2 more answers
This one might not look familiar yet, but it's very similar to the distance problems you've already seen.
Debora [2.8K]

Answer:

176.

Step-by-step explanation:

5 0
3 years ago
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