MATHEMATICS HIGH SCHOOL

Given A(2, 3), B(8, 7), C(6, 1), which coordinate will make line AB perpendicular to line CD?D(9, 3)
D(4, 4)
D(3, 3)
D(8, 4)​

Answers

Answer 1
Answer:

Answer:

The correct option is;

D(4, 4)

Step-by-step explanation:

The given coordinates of the points are, A(2, 3) B(8, 7), C(6, 1), therefore, the coordinates of the point D that will make CD perpendicular to AB will have a slope = -1/m, where, m = the slope of the line segment AB

The formula for finding the slope, m, of a segment, given the coordinates of two points on the straight line segment (x₁, y₁), (x₂, y₂)

Slope, \, m =(y_(2)-y_(1))/(x_(2)-x_(1))

Therefore, for, the segment AB, we have;

m = (7 - 3)/(8 - 2) = 4/6 = 2/3

m = 2/3

Therefore, to make the segment AB perpendicular to the segment CD, the slope of the segment CD will be -1/m = -1/(2/3) = -3/2

The equation of the segment CD in point and slope form is therefore;

y - 1 = -3/2×(x - 6)

y - 1 = -3·x/2 + 9

The standard form of the equation of the segment CD is therefore;

y = -3·x/2 + 9 + 1 = -3·x/2 + 10

y =  -3·x/2 + 10

The point that satisfies the above equation is the point (4, 4) because;

4 =  -3 × 4/2 + 10

The correct option is therefore, D(4, 4).

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Step-by-step explanation:

Help I’ll give Brainliest
What is the solution to the system of equations graphed below

Answers

It’s answer b, I hope this helped :)

Answer:

D)  (0, -4)

Step-by-step explanation:

the solution is the point at which the two lines intersect

Please help 6n^2-5n^2-7n^2 simplify the expression

Answers

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Miss lawrence buys 8 ounces of smoked salmon at 17.98 per pound how much money does mis lawrence spend on smoked salmon

Answers

The cost or amount of money spent on the salmon fish of 8 ounces is 8.99 dollars.

How to find cost of the fish?

She buys 8 ounces of smoked salmon at $17.98 per pounds .

Therefore lets convert ounces to pounds.

16 ounces = 1 pounds

She buys the fish at $17.98 per pounds.

Therefore,

16 ounces = 1 pounds

8 ounces = 0.5 pounds

Hence,

1 pounds =  $17.98

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cross multiply

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Answers

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Answers

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Here,

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