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pav-90 [236]
3 years ago
13

Which equation represents a line which is perpendicular to the line y = 5x - 8?

Mathematics
1 answer:
Mashcka [7]3 years ago
6 0
When two equations are perpendicular their slopes are 90° apart. In the equation y=5x-8 the slope is 5. The perpendicular slope is negative and the inverse of the given slope. So in this case the perpendicular line will have the slope = - 1/5
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ASAP!!!!!!!!!! I need help
Schach [20]

Answer:

...........................................................

Step-by-step explanation:

8 0
3 years ago
What is the remainder when 14,952 is divided by 41? Is the answer, 28, 29 or 30, or 31?
Bas_tet [7]

Answer:

28

Step-by-step explanation:

49*364= 14924

14952 - 14924= 28

5 0
3 years ago
RSM wants to send four of its 18 Math Challenge teachers to a conference. How many combinations of four teachers include exactly
tatiyna

Answer:

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

Step-by-step explanation:

The order in which the teachers are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

1 from a set of 2(Either Mrs. Vera or Mr. Jan).

3 from a set of 18 - 2 = 16. So

C_{2,1}C_{16,3} = \frac{2!}{1!1!} \times \frac{16!}{3!13!} = 1120

1120 combinations of four teachers include exactly one of either Mrs. Vera or Mr. Jan.

4 0
3 years ago
Express it in slope-intercept form.
natka813 [3]

Hey there! :)

Answer:

y = 1/4x - 3.

Step-by-step explanation:

Use the slope-formula to find the slope of the line:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in two points from the line. Use the points (-4, -4) and (0, 3):

m  = \frac{-3 - (-4)}{0 - (-4)}

Simplify:

m = 1/4.

Slope-intercept form is y = mx + b.

Find the 'b' value by finding the y-value at which the graph intersects the y-axis. This is at y = -3. Therefore, the equation is:

y = 1/4x - 3.

7 0
2 years ago
What is the solution of the equation?-10 + sqrt x+8 = -4
pantera1 [17]
D:x+8\geq0\to x\geq-8\\\\-10+\sqrt{x+8}=-4\ \ \ /+10\\\\\sqrt{x+8}=-4+10\\\\\sqrt{x+8}=6\iff x+8=36\\\\x=36-8\\\\x=28\in D
6 0
3 years ago
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