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3 years ago

What is the y-intercept of a line perpendicular to y= 1/2x + 6 that passes through the point (4,-3)

Mathematics

1 answer:

Finger [1]3 years ago

4 0

Answer:

(0,5)

Step-by-step explanation:

Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/2x + 6 is 1/2. The slope perpendicular to it is -2.

Using m=-2, substitute it and (4,-3) into the point slope form and simplify to find the y-intercept.

$y-y_1 = m(x-x_1)\\y--3=-2(x-4)\\y+3=-2(x-4)\\y+3=-2x+8\\y=-2x+5$

The equation is now in slope intercept form y=mx+b and b is the y-intercept. The y-intercept of y=-2x+5 is (0,5).

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Ursula's triangle has vertices at F(−7,−8), G(−6,−3), and H(5,6). If she translates her triangle 6 units down and 4 units to the

kompoz [17]

new F=(-7-4,-8-6)= (-11,-14)

new G= (-6-4,-3-6) = (-10,-9)

new H= (5-4,6-6) = (1,0)

4 0

4 years ago

Which of the following is a point slope equation of a line that passed through the points (10,5) and (4-7)

levacccp [35]

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (10, 5) and (4, -7). Substitute:

$m=\dfrac{-7-5}{4-10}=\dfrac{-12}{-6}=2$

$y-5=2(x-10)$

5 0

4 years ago

What is the area of a square with an apothem of 2 ft

Minchanka [31]

Answer:

16 square feet

Step-by-step explanation:

The apothem of a square is equal to half of the length of one side.

This means that twice the apothem is equal to the length of one side.

2*2 = 4 ft

To get the area I will multiply the two sides (squares have equal sides):

4*4 = 16 ft^2

6 0

3 years ago

(b)

Olenka [21]

Answer:

46student did not pass

Step-by-step explanation:

because did not pass on the lower grade

6 0

3 years ago

There are two colored marbles and one white marble in a box. Julie mixes the marbles and then Sam draws two marbles at random wi

tino4ka555 [31]

At first there are three marbles for Sam to pick from. the possibility of drawing a colored marble is 2/3. if Sam picks one of the colored marbles, the possibility of therefore (if he'd drawn the colored marble) drawing the second colored marble is 1/2. for the possibility of those happening consequently, we have to multiply the possibilities. 2/3 * 1/2 is 2/6 is 1/3. which means Sam wins in 33.333...% cases. Julie has a better chance of winning.

adding a white marble would change the possibilities to 1/2 and 1/3 consequently, meaning Sam wins in 1/2 * 1/3 = 1/6 = 16.7% cases, which is even less fair.

adding a colored marble would change the possibilities to 3/4 and 2/3 consequently, meaning Sam wins in 3/4 * 2/3 = 6/12 = 50% cases, which finally makes the game fair.

6 0

2 years ago