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ad-work [718]
3 years ago
10

Find the value of k so that the solution set for the following equation is -7.

Mathematics
2 answers:
a_sh-v [17]3 years ago
6 0

Answer: k=11x/4 - 17/3

Step-by-step explanation: Convert the variable by dividing each side by factors that don't contain the variable.

Hope this helps you out! ☺

Svetlanka [38]3 years ago
5 0

Answer:

k = -299/12 = - 24 11/12

Step-by-step explanation:

3x - 4 - 5(x-2) = 3/4x + 1/3 - k

x = - 7

3*(-7) - 4 - 5(-7 -2) = 3/4*(-7) + 1/3 - k

-21 -4 -5*(-9) = - 21/4 + 1/3 - k

-25 + 45 = - 21/4 + 1/3 - k

20 = (- 21*3)/(4*3) + 4/(3*4)  - k

20 = - 63/12 + 4/12 - k

20 = - 59/12 - k

k = - 59/12 - 20

k = -299/12 = - 24 11/12

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3 years ago
Find the coordinates of the missing endpoint if m is the midpoint of ab. a(-9, -4) and m(-7, -2.5)
Julli [10]

Answer:

The coordinates of the point b are:

b(x₂, y₂)  = (-5, -1)

Step-by-step explanation:

Given

As m is the midpoint, so

m(x, y) = m (-7, -2.5)

The other point a is given by

a(x₁, y₁) = a(-9, -4)

To determine

We need to determine the coordinates of the point b

= ?

Using the midpoint formula

\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

substituting (x, y) = (-7, -2.5), (x₁, y₁) = (-9, -4)

\left(-7,\:-2.5\right)=\left(\frac{x_2+\left(-9\right)}{2},\:\:\frac{y_2+\left(-4\right)}{2}\right)

Thus equvating,

Determining the x-coordinate of b

[x₂ + (-9)] / 2 = -7

x₂ + (-9) = -14

x₂ - 9 = -14

adding 9 to both sides

x₂ - 9 + 9 = -14 + 9

x₂ = -5

Determining the y-coordinate of b

[y₂ + (-4)] / 2 = -2.5

y₂ + (-4) = -2.5(2)

y₂ - 4 = -5

adding 4 to both sides

y₂ - 4 + 4 = -5 + 4

y₂ = -1

Therefore, the coordinates of the point b are:

b(x₂, y₂)  = (-5, -1)

6 0
2 years ago
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