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pav-90 [236]
2 years ago
5

What is the equation of a line with a slope of -1 and a y-interceptor -5

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
4 0

Answer:

y = - x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = - 1 and y- intercept c = - 5, hence

y = - x - 5 ← equation of line

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Classify the pair of angles. Then find the value of x.
sleet_krkn [62]

Answer:

3) x = 50, vertical angles.

4) x = 20, supplementary angles

5) x = 14, complimentary angles

Step-by-step explanation:

<h3>3)</h3>

<em>vertical angles.</em>

<em>vertical angles are equal.</em>

<em>so, you can make this equation:</em>

67 = x + 17

<em>subtract 17 from both sides of the equation</em>

67 - 17 = x + 17 - 17

67 - 17 = x

50 = x

<h3>4)</h3>

<em>supplementary angles</em>

<em>supplementary angles add up to 180</em>

<em>so, you can make this equation:</em>

7x + 40 = 180

<em>subtract 40 from both sides of the equation</em>

7x + 40 - 40 = 180 - 40

7x = 180 - 40

7x = 140

<em>divide both sides by 7</em>

7x/7 = 140/7

x = 140/7

x = 20

<h3>5)</h3>

<em>complimentary angles</em>

<em>complimentary angles add up to 90</em>

<em>so, you can make this equation:</em>

4x + 34 = 90

<em>subtract 34 from both sides of the equation</em>

4x + 34 - 34 = 90 - 34

4x = 90 - 34

4x = 56

<em>divide both sides by 4</em>

4x/4 = 56/4

x = 56/4

x = 14

8 0
2 years ago
Pease help, thank you
andreyandreev [35.5K]

Answer: -2

=====================================================

Draw a vertical line through 4 on the x axis. This vertical line crosses the parabola at some point (which we'll call point A). Draw a horizontal line from point A to the y axis and note how it lands on y = 12. Therefore the point (4,12) is on this parabola.

Repeat the same steps as before to find that (8,4) is also on the parabola

We need to find the slope of the line through (4,12) and (8,4)

m = (y2 - y1)/(x2 - x1)

m = (4-12)/(8 - 4)

m = -8/4

m = -2

The slope of this line is -2 meaning that the average rate of change from x = 4 to x = 8 is -2.

The line goes down 2 units each time you move to the right 1 unit.

6 0
3 years ago
The area of a trapezoid is 168cm2. The height is 16cm and the length of one of the parallel sides is 9cm. Find the length of the
dmitriy555 [2]

Answer:

12 cm

Step-by-step explanation:

The formula for the area of a trapezoid is written as:

1/2(b1 + b2)h

h = height = 16 cm

b1 = Length of one parallel side = 9cm

b2 = Length of second parallel side = ?

Area of trapezoid = 168cm²

The formula to find the length of the second parallel side =

b2 = 2A/h - b1

b2 = 2 × 168/16 - 9

b2 = 336/16 - 9

b2 = 21 - 9

b2 = 12cm

Therefore, the length of the second parallel side is 12 cm

3 0
3 years ago
The price of shares of Nadir Explorations Ltd. fell by 76% in the past year, to the current price of $0.45 per share. In dollars
Gemiola [76]

Answer:

$0.342 ; 34.2 cents

Step-by-step explanation:

Given that:

Share price fell by 76% in past year :

current price per share = $0.45

Drop in price of share in past year :

76% of current price

0.76 * $0.45

= $0.342

Price dropped by $0.342 per share

In cent, 0.342 * 100 = 34.2 cents

3 0
3 years ago
Which line is a linear model for the data?
DochEvi [55]

Answer:

Bottom Left Choice

Step-by-step explanation:

If you look at the points, they are traveling up and to the right. So is the line in the graph. Also, the line in the graph is closer to more dots than the others.

5 0
2 years ago
Read 2 more answers
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