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Vlad1618 [11]
3 years ago
11

the ratio of the point (-3,k) divides the line segment joining the points (-5,-4) and (-2,3) also find the value of k

Mathematics
2 answers:
myrzilka [38]3 years ago
7 0
Step by step equation
castortr0y [4]3 years ago
5 0

Answer:

Step-by-step explanation:

midpoint theorem : (mx₂+nx₁/m+n , my₂+ny₁/m+n)

(-3, k) = ( -3*-2 + k*-5/-3+k  , -3*3 + k*-4/-3+k)

(-3, k) = (6-5k/-3+k , -9-4k/-3+k)

Compare x values of  both side ;

-3 = 6-5k/-3+k

-3 *( -3+k) = 6-5k

-3*-3 +k *-3 = 6-5k

9 -3k = 6- 5k

5k -3k = 6 - 9

2k = -3

k= -3/2

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Solve the systems of equations y=2x and y=-x - 6
slava [35]

Answer:

y = -4

x = -2

Step-by-step explanation:

Hi there...

y = 2x

y = -x - 6

Since why is equal to 2x, we can plug it in for y in the second equation. Here's what I mean...

2x = -x - 6

add x on both sides...

3x = -6

divide by 3 on both sides...

x = -2

Now, plug in x for y. Here's what I mean...

y = 2x

y = 2 (-2)

y = -4

Hope this helps :)

7 0
3 years ago
A Ferris wheel has a radius of 72 feet. What is the distance a passenger will travel one time around the Ferris Wheel
rosijanka [135]
31 seconds it will take to get around without it stopping
6 0
3 years ago
Which expression is equivalent to 5x-30?<br> A. 5(x-30)<br> B. 5(x-6)<br> C. 5x(x-6)<br> D. x(5-30)
maxonik [38]
The answer is B because 5 times x is 5x and 5 times 6 is 30. Since there is a subtraction sign, it would be equal to 5x-30
7 0
3 years ago
Read 2 more answers
Solve for x: 3x-10 = 2(x+6)
77julia77 [94]

Answer:

x = 22

Step-by-step explanation:

7 0
2 years ago
Solve for ppp. 16-3p=\dfrac23p+516−3p= 3 2 ​ p+516, minus, 3, p, equals, start fraction, 2, divided by, 3, end fraction, p, plus
Ksivusya [100]

Given:

The given equation is:

16-3p=\dfrac{2}{3}p+5

To find:

The value of p.

Solution:

We have,

16-3p=\dfrac{2}{3}p+5

Multiply both sides by 3.

3(16-3p)=3\left(\dfrac{2}{3}p+5\right)

48-9p=2p+15

Isolating the variable terms, we get

48-15=2p+9p

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Divide both sides by 11, we get

\dfrac{33}{11}=p

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Therefore, the required solution is p=3.

7 0
2 years ago
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