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BARSIC [14]
3 years ago
15

Find the slope of the line that passes through the pair of points (4.5, 13.5) and (–3.5, –9).

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0
Given two points: (x₁,y₁) and (x₂,y₂) the slope "m" will be:
m=(y₁-y₂) / (x₁-x₂)                or                  m=(y₂-y₁) / (x₂-x₁)

In this case:
(4.5 , 13.5)
(-3.5 , -9)

m=(-9-13.5) / (-3.5-4.5)=-22.5 / -8=2.8125

Answer: the slope will be m=2.8125.
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svet-max [94.6K]
Sent a picture of the solution to the problem (s).

3 0
4 years ago
Select the correct answer from each drop-down menu.
irakobra [83]

Answer:

The length of side AC is 5 units.

The areas of triangle ABC is 10 square units.

Step-by-step explanation:

From point A (1,3) to point C (1,-2) is 5 units

To check this:

3 - (-2) = 3 + 2 =5

We're subtracting since the point went down (from positive 3 to negative 2)

Now for the area:

Area formula for a triangle: \frac{1}{2}bh = \frac{1}{2}⋅b⋅h

We already found the height (length) : 5

The base is from point C (1,-2) to point B (5,-2), which is 4 units

To check this:

5 - 1 = 4

Now that we have found the base and height, Let's solve:

\frac{1}{2}⋅4⋅5 = \frac{1}{2}⋅20 = 10

Our area is 10 square units.

Hope that helps :)

6 0
2 years ago
Which fraction represents the decimal 0.12
ryzh [129]

Answer:

\dfrac 3{25}

Step-by-step explanation:

0.12 = \dfrac{12}{100}=\dfrac{3}{25}

8 0
2 years ago
Today, everything at a store is on sale. The store offers a 20% discount.
kotykmax [81]

Answer:

a) $19.2

b) 0.8x

c) $17.5

Step-by-step explanation:

1. We want to find the discount price given the regular price

The discount is 20%

so the discount price will be;

24 - 20% of 24

24 - 4.8 = $19.2

b) We have this as;

x - (20% of x)

x - 0.2x = 0.8x

c) let the original price be x

x - 20% of x = 14

x - 0.2x = 14

0.8x = 14

x = 14/0.8

x = $17.5

6 0
3 years ago
Write (2x - 5)2 as a trinomial.
solniwko [45]

Answer:

4x^2-20x+25

Step-by-step explanation:

(2x-5)^{2} \\(2x)^2+2(2x)(-5)+(-5)^2\\4x^2-20x+25

7 0
4 years ago
Read 2 more answers
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