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frutty [35]
3 years ago
12

Are the equations 2x + 14 = 8 and x = -3 equivalent? Explain.

Mathematics
2 answers:
loris [4]3 years ago
6 0

Answer:

Yes

Step-by-step explanation:

Solving for 2x+14=8

Subtract 14 on both sides: 2x= 8-14

2x = -6

Divide by 2: x = -3

-3 = -3

<em>Hope this helps!!</em>

lara [203]3 years ago
3 0

Answer:

They are equivalent

Step-by-step explanation:

2x+14 = 8

Lets solve for x

Subtract 14 from each side

2x+14-14 = 8-14

2x = -6

Divide by 2

2x/2 = -6/2

x = -3

They are the same

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Geometry:(<br><br> will give brainist to correct answer:)
Lorico [155]

Given:

End points a line segment are (9,-8) and (-1,-4).

To find:

The equation of perpendicular bisector of given line.

Solution:

Slope of given line is

m=\dfrac{y_2-y_1}{x_2-x_1}

m_1=\dfrac{-4-(-8)}{-1-9}

m_1=\dfrac{-4+8}{-10}

m_1=\dfrac{4}{-10}

m_1=-\dfrac{2}{5}

Product of slopes of two perpendicular line is -1.

m_1\times m_2=-1

(-\dfrac{2}{5})\times m_2=-1

m_2=\dfrac{5}{2}

So, slope of perpendicular bisector is \dfrac{5}{2}.

Perpendicular bisector passes through the midpoint of given endpoints.

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Midpoint=\left(\dfrac{9+(-1)}{2},\dfrac{(-8)+(-4)}{2}\right)

Midpoint=\left(\dfrac{8}{2},\dfrac{-12}{2}\right)

Midpoint=\left(4,-6\right)

So, perpendicular bisector passes through (4,-6) and having slope \dfrac{5}{2}. The equation of perpendicular bisector is

y-y_1=m(x-x_1)

where, m is slope.

y-(-6)=\dfrac{5}{2}(x-4)

y+6=\dfrac{5}{2}(x)+\dfrac{5}{2}(-4)

y+6=\dfrac{5}{2}x-10

y=\dfrac{5}{2}x-10-6

y=\dfrac{5}{2}x-16

Therefore, the equation of perpendicular bisector is y=\dfrac{5}{2}x-16.

7 0
3 years ago
Order 1.09,1.9,and 1.1 from least to greatest
zysi [14]
1.09, 1.1, 1.9 Hope I helped
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3 years ago
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A pharmacist orders medications for a total of $6,439.65.a 6 44% discount is given if payment is made within
soldi70 [24.7K]

Answer:

2,672.45475 (round if needed)

Step-by-step explanation:

44 percent to a decimal is 0.44

2.5 percent to a decimal is 0.025

6,439.65 × 0.44 = 2833.446 (within 15 days)

6,439.65 × 0.025 = 160.99125 (within 30 days)

2833.446 - 160.99125 = 2,672.45475

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2 years ago
What point is found by going 1 space to the right and then 5 spaces up?
tensa zangetsu [6.8K]
1, 5
Should be correct
8 0
3 years ago
I NEED HELP ASAP AWARD BRAINLIEST
kvv77 [185]

The value of x from the given diagram is 17

<h2>Vertically opposite angles</h2>

From the given diagram, m<2 and m<3 are vertically opposite since they form angles from the intersection of lines at the point X

Given that;

  • m<2 = 4x + 2
  • m<3 = 5x - 15

Equate both expressions to have:

m<2 = m<3

4x + 2 = 5x - 15

4x - 5x = -15 - 2

-x = -17

x = 17

Hence the value of x from the given diagram is 17.

Learn more on vertical angles here; brainly.com/question/1673457

6 0
2 years ago
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