HURRY PLEASE WHOEVER ANSWERS FIRST WILL BE THE BRAINLIEST!!!Which statement best explains the relationship between lines FG and HJ?

A.They are perpendicular because their slopes are equal.
B.They are perpendicular because their slopes are negative reciprocals.
C.They are not perpendicular because their slopes are equal.
D.They are not perpendicular because their slopes are not negative reciprocals.

Answers

Answer 1

Answer:

we know that

If two lines are perpendicular then, the product of their slopes is equal to minus one, that means that their slopes are negative reciprocals

$m1*m2=-1$

Step $1$

Find the slope of the line HJ

$H(-4,-2)\nJ(0,4)$

we know that

the slope between two points is equal to

$m=((y2-y1))/((x2-x1))$

substitute the values

$m1=((4+2))/((0+4))$

$m1=((6))/((4))$

$m1=(3)/(2)$

Step $2$

Find the slope of the line HJ

$F(-4,1)\nG(0,-2)$

we know that

the slope between two points is equal to

$m=((y2-y1))/((x2-x1))$

substitute the values

$m2=((-2-1))/((0+4))$

$m2=((-3))/((4))$

$m2=-(3)/(4)$

Step $3$

Verify if the two lines are perpendicular

$m1=(3)/(2)$

$m2=-(3)/(4)$

Find the product m1 by m2

$(3)/(2)*-(3)/(4)=-(9)/(8)$

$-(9)/(8)\neq -1$ --------> the slopes are not negative reciprocals

therefore

the answer is the option

D.They are not perpendicular because their slopes are not negative reciprocals

Answer 2

Answer: The answer to this question is B. They are perpendicular because their slopes are negative reciprocals.

Two lines can be perpendicular if they make a 90 degree angle and/or their slopes are negative reciprocals.

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Why would "-7" in the expression (x^2+3)-(x-7) become positive?(This is a genuine question not a test one)

Answers

You would use the distributive property with the negative. So the second x becomes negative, but since the 7 is already negative it becomes positive. Think of it as if you put the two dashes together you can make a plus sign.

Answer:

x is the variable that's representing a number so -7 would not become posting

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If you have a 1 in a thousand chance of winning $400, but 999 out of a thousand times you win nothing, what is your expected payoff

Answers

Answer:$0.4

Step-by-step explanation:

Let $P_(w)$ be the probability of winning.

Let $P_(l)$ be the probability of loosing.

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Answer:

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Step-by-step explanation:

Describe triangle ABC in terms of its sides and angles

Answers

Answer: Scalene, Right Triangle

Step-by-step explanation:

There are three main terms that describe triangles by their side length: equilateral (all three sides are the same length), isosceles (two sides are the same length), scalene (all three sides are different lengths).

Since all of the sides are different lengths, this is a scalene triangle.

There are three main terms that describe triangles by their angles: acute triangle (all three angles are acute), obtuse triangles (one obtuse angle and two acute angles) and right triangles (on right angle, which means the other two will be acute).

Since this triangle has a right angle (indicated by the square symbol on angle A), it must be a right triangle.

Answer:

Right angle triangle

Step-by-step explanation:

Given triangle is right angle triangle
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The other two angle sum up to 90 degrees.
Here AC side is perpendicular and the AB side is base of the triangle.
And the third side that is called CB which longest side of all three sides that is called hypotenuse.

Estimate the difference between 206 and 167

Answers

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- - To find the difference, subtract.

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Cora is graphing the equation y = 12x. She has placed a point on the origin and uses the slope to find 2 more points. Which points does Cora plot on her graph? Choose exactly two answers that are correct. A. (−1, −12) B. (−12, −1) C. (1, 12) D. (12, 1)

Answers

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b. Find the co-ordinates of the midpoint of AB.

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Answers

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b. (8-4)/2 & (5+1)/2

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