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Ivenika [448]
2 years ago
10

What is the slope of the line that passes though the pair of points (7/2, -3) and (-1, 5/3)

Mathematics
1 answer:
babymother [125]2 years ago
5 0

Answer:

m=  \frac{-28}{27}

Step-by-step explanation:

Step 1: Plug in given points into slope formula.

m= y^2-y1/x^2-x^1

(x^2, y^2)= (\frac{7}{2}, -3)

(x^1, y^1)=(-1 ,\frac{5}{3})

m= \frac{5}{3} -(-3)/-1-\frac{2}{7}

Step 2: Subtract.

m=\frac{14}{3} /\frac{-9}{2}

Step 3: Simplify.

m=\frac{-28}{27}

Explanation: Since we only need two points to find the slope of the line, the given points can be plugged into the slope formula. After that, simply subtract and simplify. If anything does not make sense or my work is wrong, please let me know. Thanks.

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Two paths in a park intersect so that one of the angles at the intersection is 75°.What are the three other angle measurements f
oksian1 [2.3K]

Answer:

105°, 75°, and 105°.

Step-by-step explanation:

If two straight paths intersect at a point , four angles will be formed.

These are pairs of vertical angles.

The adjacent angles add up to 180°

If one of the angles is 75°, the supplement will be

180 - 75 = 105 \degree

Therefore the three other angles will be , 105°, 75°, and 105°.

5 0
2 years ago
There are many square prisms with volume 125 in. Let w represent the side length of the square base and h represent the height i
iogann1982 [59]

Answer:

5in by 5in by 5in

Step-by-step explanation:

We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.

Given

Volume = 125in³

Formula

V = w²h ..... 1

S = 2w²+4wh ..... 2

w is the side length of the square base

h is the height of the prism

125 = w²h

h = 125/w² ..... 3

Substitute eqn 3 into 2 as shown

S = 2w²+4wh

S = 2w²+4w(125/w²)

S = 2w²+500/w

To minimize the surface area, dS/dw = 0

dS/dw =4w-500/w²

0= 4w-500/w²

Multiply through by w²

0 = 4w³-500

-4w³ = -500

w³ = 500/4

w³ =125

w = cuberoot(125)

w = 5in

Get the height

125 =w²h

125 = 25h

h = 125/25

h = 5in

Hence the dimension of the prism is 5in by 5in by 5in

5 0
2 years ago
9, 14, 7, 9, 3, 12, 5,4
Rus_ich [418]

Answer:

mean: 65

median: 9

Step-by-step explanation:

You take all the numbers you have and add them up. Make it simple by adding smaller numbers together. Then once you have the total which is 65 you divide it by the total of numbers you have and then round because after dividing you get 8.125 and the safest way to round is to 9.

5 0
2 years ago
Which of the following are solutions to the equation below? Check all that apply. 3x2 + 27x + 54 = 0
Alex_Xolod [135]

Answer: the answers are -3 and -6

Step-by-step explanation:

6 0
3 years ago
500000000000 in scientific notation
liraira [26]

5 x 108. The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

4 0
3 years ago
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