Which point is on a line that passes through point R and is perpendicular to line PQ?

Mathematics

2 answers:

aliya0001 [1]3 years ago

5 0

Your answer would be (-4,-8)

yuradex [85]3 years ago

3 0

Answer:

(-4,-8)

Step-by-step explanation:

Given is a picture with a point R and a line PQ

We have to find the point out of the 4 options lying on the perpendicular line to PQ through R

R is the point (4,2)

P is (-6,4) and Q is (4,-4)

Slope of PQ = $\frac{-4-4}{4+6} =-0.8$

Slope of perpendicular line would be = $\frac{1}{-0.8} =-1.25$

Equation of the line through R with slope -1.25 is

$y-2=1.25(x-4)\\y =1.25x-3$

Out of the four options,

only (-4,-8) satisfies

because $-8 =-1.25(-4)-3$

so answer is (-4,-8)

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3/4 + (1/3 ÷ 1/6) - (-1/2) =

Aleonysh [2.5K]

The answer is 13/14

4 0

4 years ago

Help me with problem 8a and b

svetlana [45]

a. The bridge can hold at most 1000 pounds. This tells you everyone's accumulative weight needs to be less than or equal to 1000. The problem does not give your friend's weight... yet. Let x = your friend's weight.

Your friend's weight (x) plus your weight (156) plus everyone else's weight (675) must be less than or equal to (≤) 1000 pounds.

x + 156 + 675 ≤ 1000

Combine like terms (the constants) to simplify and get your final inequality:

x + 831 ≤ 1000

b. Now, we find out your friend weighs 182 pounds. x = 182. We plug this into the above equation. If it results in a true statement, then you both can walk across the bridge.

182 + 831 ≤ 1000

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No. You both cannot walk across the bridge as is because the weight of the people on the bridge would be 13 pounds over the weight limit.

8 0

3 years ago

3(8+9) there is nothing

astra-53 [7]

Answer:

Step-by-step explanation: