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julia-pushkina [17]
1 year ago
13

33Which line is perpendicular to the line shown on the graph?OA y=-3x+2Ob y=-x-4Oc y= fx+1OD y=x+1

Mathematics
1 answer:
Lina20 [59]1 year ago
8 0

First, we have to find the slope of the given line using the following formula.

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

Let's replace the points (-3,-3) and (0,-1).

m=\frac{-1-(-3)}{0-(-3)}=\frac{-1+3}{3}=\frac{2}{3}

Then, we use the formula for perpendicular slopes to find the new perpendicular slope.

\begin{gathered} -\frac{2}{3}\cdot m=-1 \\ m=\frac{3}{2} \end{gathered}

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Kim rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Eric rode his bicycle 102 miles in 6 weeks, ridin
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Answer:

Eric rode 2 more miles per week than Kim rode.

Step-by-step explanation:

Find how many miles per week Kim rode by dividing the number of miles she rode by the number of weeks:

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4 0
3 years ago
The new ointment was applied to four locations, and a control was applied to the other four. How many different choices were the
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Answer:

there are 70 possible choices for the four locations to apply the new ointment

Step-by-step explanation:

Since we have a total of 8 locations ( 4 to the new ointment and 4 to the control) ,  each one can be chosen and since the order of the locations that are chosen for the new ointment is not relevant  , then we know that the number of choices is given by the number of combinations of 4 elements in 8

number of combinations = 8 possible locations to the first ointment * 7 possible locations to the second ( since the first one was already located) * 6 to the third * 5 locations for the fourth / number of times the same combination is repeated ( the same locations but in different positions) = 8*7*6*5 / (4 possible positions for the first ointment* 3 possible positions to the second ointment (since the first one was already located * 2 possible positions of the third * 1 possible position of the fourth)

therefore

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6 0
3 years ago
Simplifly the expression 2(x - 5)
defon

Answer:

2x - 10

Step-by-step explanation:

2(x - 5)

distribute

2*x - 2*5

2x - 2*5

2x - 10

7 0
2 years ago
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