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Andrews [41]
3 years ago
6

Find the slope (9/2,5) and (1/2,-3)

Mathematics
1 answer:
likoan [24]3 years ago
3 0

Answer:

The slope is 6

Step-by-step explanation:

M is slope

M=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}= \frac{-3-9}{0.5-2.5}=\frac{-12}{-2}=6

So the slope = 6

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The points A(-3, 2) and B(1,4) are vertices of an isosceles triangle ABC, where angle B = 90°
almond37 [142]

Answer:

Length of AB = 4.4721

Equation of line BC: y = -2x + 6

Step-by-step explanation:

To find the length of the line AB, we just need to find the distance between the points A and B.

We can find distance with the equation:

distance = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}

distance = \sqrt{(-3 - 1)^2 + (2 - 4)^2}

distance = 4.4721

To find the equation of the line BC, first let's find the slope of the line AB.

This slope is given by:

m_{AB} = \frac{ y_A - y_B }{ x_A - x_B }

m_{AB} = \frac{ 2 - 4 }{ -3 - 1} = \frac{1}{2}

The line AB is perpendicular to the line BC (because mB = 90°), so the slope of line BC is:

m_{BC} = -\frac{1}{m_{AB}} = -2

so the line BC is:

y = -2x + b

To find the value of b, we can use the point B (1,4):

4 = -2 + b

b = 6

So we have:

y = -2x + 6

4 0
4 years ago
12.8 x 3/4 I don’t know it
scoray [572]

48/5 or 9 3/5

12.8/1 x 3/4 = 38.4/4

Or multiply 12.8/1 by 10 ==> 128/10

128/10 x 3/4 = 384/40

Hope this helps!

7 0
3 years ago
Read 2 more answers
The dance committee hired a DJ for the fall dance. The DJ charges
boyakko [2]

Answer: 4 hours

Step-by-step explanation:

4 Hours

Explanation:

Make h = hours

You add the $55 extra cost for the assistant

$125h + $55 = $555

Use additive inverse to isolate the term with the variable

$125h + $55 - $55 = $555 - $55

Use multiplicative inverse to isolate the variable

\frac{125h}{125} = \frac{500}{125}

Hours would be: 4 Hours.

I hope this helps! Please mark brainliest.

7 0
2 years ago
Write 144 students in six classes as a unit rate show work
Nataly_w [17]
Divide the total number of students by the number of classes into which they're, well, divided.
144 students/6 classes
This comes out to be 24, so you have
24 students/1 class, or 24 students per class
6 0
3 years ago
The volume of a cylinder is 300 feet3. Find the volume of a cone and a sphere that have the same height and radius as the cylind
nikitadnepr [17]

The formula of a volume of a cylinder:

V_{cylinder}=\pi r^2H

The formula of a volume of a cone:

V_{cone}=\dfrac{1}{3}\pi r^2H

Therefore, if a cone has the same radius and height like a cylinder, then the volume of a cone is three times smaller than the volume of a cylinder.

Therefore we have:

V_{cone}=\dfrac{1}{3}V_{cylinder}\to V_{cone}=\dfrac{1}{3}(300)=100\ ft^3

The formula of a volume of a sphere:

V_{sphere}=\dfrac{4}{3}\pi R^3

If a cone has that same lengths of a radius and a height, then the formula of a volume is:

V_{cone}=\dfrac{1}{3}\pi r^2r=\dfrac{1}{3}\pi r^3

If a cone and a sphere have the same radius, then the volume of a sphere is four times greater than a volume of a cone.

Therefore we have:

V_{sphere}=4(100)=400\ ft^3

6 0
3 years ago
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