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adell [148]
2 years ago
13

Write the equation of the line given the slope and a point through the line passes

Mathematics
1 answer:
Anuta_ua [19.1K]2 years ago
4 0

Answer:

1.) Y = 5/3 X + 4

2.) Y = 9/4 X - 27/4

Step-by-step explanation:

Given the slope and the coordinate, linear equation of a line can be expressed by using general linear equation. Which is

Y = MX + C

Where the

Slope M = 5/3

Coordinate = (-3,-1) in which

X = -3, Y = -1

Substitute X, Y and M into the general linear equation to achieve C

-1 = 5/3(-3) + C

-1 = - 5 + C

C = 5 - 1

C = 4

Substitute C and M back into the general linear equation.

Therefore, the equation of the line given the slope and a point through the line passes 5/3, and (-3,-1) to be

Y = 5/3 X + 4

2.) Also,

Slope M = 9/4

Coordinate = (3,0) where X = 3, Y = 0

Substitute X, Y and M into the general linear equation to obtain C

0 = 9/4 (3) + C

C = - 27/4

Substitutes C and M back into the general linear equation

Therefore, the equation of the line given the slope and a point through the line passes 9/4 and (3,0)

Y = 9/4 X - 27/4

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Use the given triangles to answer the question. (Easy)
kiruha [24]

Answer:

JK≅MN, KL≅NO and ∠K≅∠N

Step-by-step explanation:

we know that

A Reflection is a transformation that doesn't change the size or shape of the figure

so

Triangle JKL and triangle MNO are congruent

The corresponding sides and the corresponding angles are congruent

therefore

JK≅MN, KL≅NO,JL≅MO

and

∠J≅∠M, ∠K≅∠N,∠L≅∠O

8 0
2 years ago
TriangleABC has three sides with these lengths: AB=9, BC=40, and CA=41, What is the value of cos C?
Otrada [13]

Answer:

9² = 40² + 41² - 2(40)(41) cos(C)

81 = 1600 + 1681 - 3280 cos(C)

81 = 3281 - 3280 cos(C)

-3200 = -3280 cos(C)

cos(C) = 3200 / 3280

cos(C) = 40 / 41

Step-by-step explanation:

3 0
3 years ago
PLSS HELP ASAP!!! <br><br> Given: 2x−1=6x−17<br> Prove: x=4
AlekseyPX

Answer:

33232

Step-by-step explanation:

8 0
3 years ago
If 2/5n+4=20, what is the value of n?
Dimas [21]
2/5n + 4 = 20
/5 /5
2n + 4 = 100
- 4 -4
2n = 96
/2 /2
n = 48

The answer to your question is 48
6 0
2 years ago
The area of the shaded circle below is 78.5 square inches. The area of the large circle is 314 square inches.
umka2103 [35]
From the given description it seems that the small shaded circle lies within the larger circle as shown in image below:

The probability that a point choosen at random lies within the shaded area = Area of shaded region / Total area of the bigger cricle

So,
Probability = 78.5/314 = 0.25

Thus there is 0.25 or 25% probability that the point chosen at random will lie inside the shaded region. 

6 0
3 years ago
Read 2 more answers
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