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lukranit [14]
4 years ago
14

the equation of line k is y=1/5x-1/8. what equation of the line that is perpendicular to line k and passes through (0,0)

Mathematics
1 answer:
barxatty [35]4 years ago
4 0
The slope of a perpendicular line is the negative reciprocal of the normal slope.  For example, 3/7 would become -7/3.  

Because the slope of this line is 1/5, the slope of a line that is perpendicular to it is -5.

Now, to find the equation of the line, we need to find the y intercept.  Since the line passes through (0,0), that is the y intercept.  Now, we can make the equation of the line.

y = -5x 
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Write an equation of the circle with center (-6, 2) and diameter 10.
marshall27 [118]

Solution:

We know that the formula to write the equation of a circle is (x – h)² + (y – k)² = r², where h is the x coordinate, k is the y-coordinate, r is the radius of circle, and the center of circle is (-6,2).

<u>Finding the radius of the circle.</u>

  • Diameter: 10 units
  • Radius: 10/2 units = 5 units

<u>Creating the equation:</u>

  • (x – h)² + (y – k)² = r²
  • => (x + 6)² + (y – 2)² = 5²

The equation is (x + 6)² + (y – 2)² = 5².

Learn more: brainly.com/question/26573763

6 0
2 years ago
Whitch of the given systems is equivalent to the given system? In math
tensa zangetsu [6.8K]

Answer:

Two systems of equations are equivalent if they have the same solution(s).

3 0
3 years ago
A cup of raw Arborio rice weighs 7 ounces. One cup will serve 1 people. Arborio rice is purchased in 2-pound boxes for $1.99. Ho
kow [346]

The rice will cost $17.6  for serving 40 people

<h3><u>Solution:</u></h3>

We need to determine the cost of serving 40 people with rice

Arborio rice is purchased in 2-pound boxes for $1.99

The price of 1 pound box will be \frac{\$ 1.99}{2}=\$ 0.995

1 Pound (lb) is equal to 16 ounces (oz)

Therefore, the price of 16 ounces is  $0.995

A cup of raw Arborio rice weighs 7 ounces and it serve 1 people

\begin{array}{l}{\text { The cost per person is } \frac{\$ 0.995}{16} \times 7=\$ 0.44} \\\\ {\text { The cost for serving } 40 \text { people }=\$ 0.44 \times 40=\$ 17.6}\end{array}

Therefore rice will cost $17.6  for serving 40 people

7 0
3 years ago
If you spend $60 per month on a cell phone plan, how much should you budget each week for that
natulia [17]

Answer: $15

There are about 4 weeks in a month, so if you spend $60 per month, you would spend 1/4 of that every week.

60/4= $15

8 0
3 years ago
Read 2 more answers
Write the equation for a line that passes through the point (-8,2) and is parallel to 5x-4y=4. Enter your equation in slope inte
Lana71 [14]

Answer:

y = 5/4x + 12

Step-by-step explanation:

5x - 4y = 4

-4y = -5x + 4

y = (-5x + 4)/-4

y = 5/4x - 1

Parallel Slope ---> m = 5/4

(-8, 2)

y = mx + b

2 = 5/4(-8) + b

2 = 5 * -2 + b

2 = -10 + b

12 = b

b = 12

y = 5/4x + 12      <---- This is the answer

Hope this helps!

3 0
3 years ago
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