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Len [333]
3 years ago
7

9) 15k + 20 – 10k = 10

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0

Answer:

k=-2

Step-by-step explanation:

You have to bring k itself and make it to a coefficient of 1 using algebra.

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5 Quick algebra 1 questions for 50 points! <br><br><br> Only answer if you know all 5, Tysm! :)
PIT_PIT [208]

The equations of the perpendicular lines are: y = 1/2x + 6, y = 15, y = -x - 2, y = 6x + 3 and y = 1/3x - 4

<h3>How to determine the equations?</h3>

When a linear equation is represented as:

Ax + By = C

The slope (m) is:

m = -A/B

When the linear equation is represented as:

y = mx + c

The slope is m

A line perpendicular to a linear equation that has a slope of m would have a slope of -1/m

Using the above highlights, the equations of the lines are:

<u>6. y = -2x + 5; (2, 7)</u>

The slope is:

m = -2

The perpendicular slope is:

n = 1/2

The equation of the perpendicular line is:

y = n(x - x1) + y1

This gives

y = 1/2(x - 2) + 7

Evaluate

y = 1/2x - 1 + 7

This gives

y = 1/2x + 6

<u>7. y = -5; (11, 15)</u>

The slope is:

m = 0

The perpendicular slope is:

n = 1/0 = undefined

The equation of the perpendicular line is:

y = n(x - x1) + y1

This gives

y = 15

<u>8. Graph ; (-12, 10)</u>

The slope is:

m = (y2 - y1)/(x2 - x1)

Using the points on the graph, we have:

m = (2 - 3)/(3 - 4)

m = 1

The perpendicular slope is:

n = -1

The equation of the perpendicular line is:

y = n(x - x1) + y1

This gives

y = -1(x + 12) + 10

y = -x - 12 + 10

Evaluate

y = -x - 2

<u>9. y = -1/6x + 1; (-2, -9)</u>

The slope is:

m = -1/6

The perpendicular slope is:

n = 6

The equation of the perpendicular line is:

y = n(x - x1) + y1

This gives

y = 6(x + 2) - 9

Evaluate

y = 6x + 12 - 9

This gives

y = 6x + 3

<u>10. 6x + 2y = 14; (12, 0)</u>

The slope is:

m = -6/2

m = -3

The perpendicular slope is:

n = 1/3

The equation of the perpendicular line is:

y = n(x - x1) + y1

This gives

y = 1/3(x - 12) + 0

Evaluate

y = 1/3x - 4

Hence, the equations of the perpendicular lines are: y = 1/2x + 6, y = 15, y = -x - 2, y = 6x + 3 and y = 1/3x - 4

Read more about linear equations at:

brainly.com/question/13763238

#SPJ1

5 0
1 year ago
If there are 120 calories in 4 ounces of hot fudge, how many calories are in 8
miss Akunina [59]

Answer:

240 calories

Step-by-step explanation

You're doubling the amount of fudge, so double the amount of calories. You could also think of it as 2 4-oz portions of fudge, then just add the calories (120+120) together.

3 0
3 years ago
Plz help this is due in like 1 hour
poizon [28]

Answer:

A

Step-by-step explanation:

Since each star is worth 50 points, if 5 stars are zapped that would convert to 250 points. Each level the number of stars increase by 5, level 6 would have 45 stars and so on.. With level 10 having 65 stars to complete.

4 0
2 years ago
Read 2 more answers
What is -2+6X= -8. x=<br>​
Strike441 [17]

Answer:

x=-1

Step-by-step explanation:

So we have the equation:

-2+6x=-8

Add 2 to both sides. The left cancels:

6x=-6

Divide both sides by 6. The left cancels:

x=-1

So, the value of x is -1.

And we're done!

8 0
3 years ago
Read 2 more answers
A circle with circumference 18 had an arc with 120 central angle. what is the length of the arc
lawyer [7]

Answer:

A circle with circumference 18 had an arc with 120 central angle.

=> Radius of that circle: R = 18/(2 x pi) = 2.86

=> Length of that arc: L = R x 120 x pi/180 = 2.86 x (2/3) x pi = 5.99

Hope this helps!

:)

5 0
3 years ago
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