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Gennadij [26K]
2 years ago
7

What is the reason for statement 7 in the given proof? A. definition of midpoint B. definition of slope C. Parallel lines have e

qual slopes. D. using point-slope formula
Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
7 0

The reason is using point slope formula.

The photo attached given below:

<h3>what is point slope formula?</h3>

The equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line — compare slope-intercept form.

Now, we have to find the slope of AE, BF and CD.

We have to done this with help of coordinates.

So, we have to use point slope formula to find the slope of AE, BF and CD.

Learn more about  this concept here:

brainly.com/question/2810340

#SPJ1

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Which system of equations has the solution (4,−2)?
Marat540 [252]

Answer:

A)

Step-by-step explanation:

To find the answer we must solve each of the systems separately. Starting with the first one:

x + y = 2

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We must find what x or y is equal to and then replace it in the second equation. I'll go with y as it seems easier:

x + y = 2

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Now that we found y we replace it in the second equation this way. Be careful with the signs, the minus with change our signs:

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7 0
2 years ago
The equation of a circle is (x + 3)2 + (y – 5)2 = 81. Determine the coordinates of the center of the circle and the length of th
Nataly_w [17]

Answer:

The center of the circle is (-3 , 5) and the length of the radius is 9 units

Step-by-step explanation:

* Lets revise the standard form of the equation of the circle

- The center-radius form of the circle equation is in the format

 (x – h)² + (y – k)² = r², where the center is the point (h, k) and

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- This form of the equation is helpful, because you can easily find

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* Now lets solve the problem

- The equation is (x + 3)² + (y - 5)² = 81

- By comparing the two equations

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# x - h = x + 3

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∴ h = -3

# y - k = y - 5

∴ k = 5

# h and k are the coordinates of the center of the circle

∴ The center of the circle is (-3 , 5)

# r² = 81 ⇒ take √ for both sides

∴ r = 9

∴ The length of the radius = 9 units

* The center of the circle is (-3 , 5) and the length of the radius is 9 units

3 0
3 years ago
4 times the square of one number minus 5 times another number​
iVinArrow [24]

Answer:

4x^2-5y

Step-by-step explanation:

4x^2-5y

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