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Arisa [49]
2 years ago
12

Write the equation of the line in slope-intercept form.

Mathematics
1 answer:
Ymorist [56]2 years ago
8 0

Answer:

y = 1/40x + 20

Step-by-step explanation:

Slope-intercept equation format:

y = mx + b

m = slope/ gradient/ constant of variation/ rate of change

b = y-intercept

To find the slope, use the formula:

\frac{y_2-y_1}{x_2-x_1}

Find  two random points:

1 - (0.5, 40) , 2 - (1, 60)

Plug in:

\frac{60-40}{1-0.5}

Solve:

\frac{20}{0.5}

Divide:

\frac{1}{40}

The y-intercept is when the x-coordinate is equal to 0.

The y-intercept is always the beginning.

So observing the graph, the first point is (0, 20)

The x-coordinate is 0.

Y intercept = 20.

Plug in both slope and y-intercept:

y = 1/40x + 20

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Angle LON is a straight angle<br> Angle MON= 3x+89<br> Angle LOM=8x+58<br> Find Angle MON:
tresset_1 [31]

Answer:

Angle MON is 98°

Step-by-step explanation:

The measure of the straight angle is 180°

∵ ∠LON is a straight angle

∴ m∠LON = 180°

∵ Ray OM intersects line LN at O

∴ OM divides ∠LON into two angles ∠LOM and ∠MON

∴ m∠LOM + m∠MON = m∠LON

- Substitute m∠LON by 180°

∴ m∠LOM + m∠MON = 180°

∵ m∠LOM = 8 x + 58

∵ m∠MON = 3 x + 89

- Substitute them in the equation above

∴ (8x + 58) + (3 x + 89) = 180°

- Add the like terms in the left hand side

∴ (8 x + 3 x) + (58 + 89) = 180°

∴ 11 x + 147 = 180

- Subtract 147 from both sides

∴ 11 x = 33

- Divide both sides by 11

∴ x = 3

Substitute the value of x in the measure of angle MON to find it

∵ m∠MON = 3(3) + 89

∴ m∠MON = 9 + 89

∴ m∠MON = 98°

6 0
3 years ago
(a) Estimate the number of boys at Hillview.
3241004551 [841]
I say around 210-220 is a good answer
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3 years ago
10x -15x + 5= -45 + 20
denpristay [2]

Answer:

x=6

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP ME ASAP!! I REALLY NEED HELP :((
solong [7]
Hello!

Question 1
The angles in a triangle add up to 180°

Subtract the known angles from 180 to get x

180 - 105 - 40 = 35

The answer is 35
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Question 2
The angles in a triangle add up to 180°

The box means that angles is 90°

Subtract the know angles from 180 to get x

180 - 65 - 90 = 25

The answer is 25
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Hope this helps!
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3 years ago
Ron wants to run 6 miles this week. He ran
Yanka [14]

Ron would need to run 3 miles

4 0
3 years ago
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