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alexira [117]
2 years ago
7

Find the coordinates of the foot of the perpendicular from (6,8) the line through(1,5) and (9,3)​

Mathematics
1 answer:
Murrr4er [49]2 years ago
4 0

Answer:

plz follow and thanks me

Step-by-step explanation:

Let (a,b) be the coordinates of the foot of the perpendicular from the point (−1,3) to the line 3x−4y−16=0

Slope of the line joining (−1,3) and (a,b), is m

1

=

a+1

b−3

Slope of the line 3x−4y−16=0 or y=

4

3

x−4,m

2

=

4

3

Since these two lines are perpendicular,m

1

m

2

=−1

∴{

a+1

b−3

}⋅{

4

3

}=−1

⇒

4a+4

3b−9

=−1

⇒3b−9=4a−4

⇒4a+3b=5...(1)

Point(a,b) lies on line 3x−4y=16

∴3a−4b=16....(2)

On solving equation (1) and (2) we obtain

a=

25

68

and b=−

25

49

Thus, the required coordinates of the foot of the perpendicular are {

25

68

,

25

49

}

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Which ordered pair represents the y-intercept of the graph of the equation y = - 4 x - 7 ?​
Degger [83]

Answer:

(0, -7)

Step-by-step explanation:

Since -4x is the slope, then -7 is the y-intercept.

For finding y intercept we substitute x=0

y = -7

The ordered pair would be

(0,-7)

hope this helps and is right. p.s. i really need brainliest :)

4 0
3 years ago
sharon has $24 and begins saving $8 each week toward buying new clothes Wes has $36 and begins saving $5 each week is there a we
tatuchka [14]

Answer:

in 4 weeks

Step-by-step explanation:

24+8(4)=56

36×5(4)=56

in 4 weeks they both will have $56

4 0
3 years ago
Read 2 more answers
What is value of x? please help
bija089 [108]

Answer:

x = 27

Step-by-step explanation:

To find the value of x, create a proportion. A proportion is two equal ratios for similar figures. The two triangles are similar because they are the same shape but not the same size. Create ratios between corresponding sides of figures.

\frac{x+8}{10}=\frac{2x-5}{14}

To solve for x, cross multiply:

(x+8)(14) = (10)(2x-5)

14x + 112 = 20x -50

        112 = 6x - 50

        162 = 6x

          27 = x

7 0
2 years ago
The density of a certain material is such that it weighs 6 pounds per pint of volume.
ella [17]

Answer:

Density = 5751.66 gram per litre

Step-by-step explanation:

It is given that the density of a certain material 6 pounds per pint.

The conversion from pint to liter is as follows :

1 pint = 0.473 litre

The conversion from pounds to kg is as follows :

1 pound = 453.59 kg

We need to express the density from pounds per pint to grams per liter.

1 pound per pint = 958.611 gram per litre

So,

6 pound per pint = 958.611 × 6 gram per litre

6 pound per pint  = 5751.66 gram per litre

3 0
2 years ago
Brandon is competing in a long jump competition. He jumped 16.4 feet on his first jump. In his next two jumps, he jumped 17.76 f
Goshia [24]

Answer:

53.21

Step-by-step explanation:

16.4+ 17.76+19.05

8 0
3 years ago
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