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Snezhnost [94]
3 years ago
5

What is the slope of a line parallel to the graph of y+1=-8(x-2)?

Mathematics
1 answer:
inn [45]3 years ago
8 0
Y+1=-8(x-2)
y+1=-8x+16
y=-8x+15
The slope would be -8
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The coordinates for three points of a rectangle are (2, 6) (2, 9) and (8, 6). What is the coordinate for the fourth point in the
saw5 [17]

Answer:

(8,9)

Step-by-step explanation:

Given

A = (2,6)

B = (2,9)

C = (8,6)

Required

Determine the 4th point

The coordinate point of a horizontal or a vertical rectangle is given as:

(x1,y1), (x2,y2), (x3,y3), (x4,y4)

Where:

x_1 = x_2        x_3 = x_4         y_1 = y_3        y_2 = y_4

So, we have:

A = (2,6) --- (x_1.y_1)

B = (2,9) ---- (x_2.y_2)

C = (8,6) ---- (x_3,y_3)

Using the above equations:

x_3 = x_4=8        

y_2 = y_4 = 9

Hence, the coordinate of the 4th point is:

(x_4,y_4) = (8,9)

4 0
3 years ago
A survey found that 12 out of every 15 people in the United States prefer eating at a restaurant over cooking at home. if 400 pe
Snezhnost [94]

12x  = 400

x = \frac{400}{12}

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x = 500.

∴ 500 people took the survey

5 0
3 years ago
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Brian is riding his bike. He biked a distance of 14 miles at a rate of 14 miles per hour. Rearrange the distance formula, d = rt
xeze [42]

Answer:

60 minutes

Step-by-step explanation -

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6 0
3 years ago
. <br><br><br> Solve the equation. <br><br> 2/3 x – 6 = 9
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Hey there!

Okay let's get cracking :D

The equation is....  (2x/3) - 6 = 9

2x/3 = 15
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<u>x = 22.5</u><u />    <----- And that is your answer!

I hope it helped! 

<u>Please vote for me as Brainliest if there is a second answer!</u>
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3 years ago
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Three vectors A, B, C in three-dimensional space satisfy the following properties
wlad13 [49]

Answer:

\frac{7}{8}\pi

Step-by-step explanation:

observe

||a–b+c|| = ||a+b+c||

(a-b+c)² = (a+b+c)²

(a+b+c)² – (a-b+c)² = 0

((a+b+c)+(a-b+c))((a+b+c)–(a-b+c)) = 0

(2a+2c)(2b) = 0

(a+c)b = 0

a•b + c•b = 0

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\cos(\theta)=-\frac{||a||\times ||b|| \times \cos(\frac{\pi}{8})}{||c||\times ||b||}=-\cos(\frac{\pi}{8})\\ \theta=\frac{7}{8}\pi

3 0
3 years ago
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