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never [62]
3 years ago
15

What is the point-slope form given the following slope and a point on the line? m = 3/7 , (7, -4)

Mathematics
1 answer:
GarryVolchara [31]3 years ago
7 0

Answer:

The equation is y = (3/7)x - 7.

Step-by-step explanation:

Given that the point slope form of an equation is y = mx + b where m represents the gradient and b is the y-intercept. Then, you have to substitute the following values into the equation :

y = mx + b

let \: m =  \frac{3}{7} ,x = 7,y =  - 4

- 4 =  \frac{3}{7} (7) + b

- 4 = 3 + b

- 4 - 3 = b

b =  - 7

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3 years ago
In the given figure, if a:b=10:13, then /_xoy equals.​
soldier1979 [14.2K]

Answer:

2x + 7 = 3x - 7

3x - 2x = 7 + 7

x = 14

2x + 7 + 12y + 1 = 180

2(14) + 12y + 8 = 180

28 + 12y + 8 = 180

36 + 12y = 180

12y = 180 - 36 = 144

y = 144/12 = 12

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6 0
2 years ago
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10) Mr. Parker wants to draw a floor plan of his office, which measures 15 feet wide by 17.5 feet long. He is using the scale 1
Anna71 [15]
The width of his office on the floor plan is 2.5 in.
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4 years ago
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Solve GHI. Round the answer to the nearest hundredth.
Sedaia [141]

Answer:

Part 1) HI=15\ units

Part 2)

Part 3) < I=28.07\°

The answer is the option A

Step-by-step explanation:

Part 1) Find the measure of side HI

Applying the Pythagoras Theorem

GI^{2} =GH^{2}+HI^{2}

substitute the values and solve for HI

17^{2} =8^{2}+HI^{2}

HI^{2}=17^{2}-8^{2}

HI^{2}=225

HI=15\ units

Part 2) Find the measure of angle G

In the right triangle GHI

cos(G)=\frac{GH}{GI}

substitute the values

cos(G)=\frac{8}{17}

G=arccos(\frac{8}{17})=61.93\°

Part 3) Find the measure of angle I

Remember that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

substitute the values

61.93\°+90\°+< I=180\°

< I=180\°-(61.93\°+90\°)=28.07\°

7 0
4 years ago
If a system of linear equations has no solution, then
Natali5045456 [20]

Answer:

If a system of linear equations has no solution,then it is said to be inconsistent.The graphs of the lines do not intersect,and therefore  the graphs are parallel and there is no solution.

Step-by-step explanation:

If a system of linear equations has no solution,then it is said to be inconsistent.The graphs of the lines do not intersect,and therefore  the graphs are parallel and there is no solution.

5 0
3 years ago
Read 2 more answers
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