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Paraphin [41]
3 years ago
13

Calculate the slope of a line that passes through the points (-4,7) and (-1,3)

Mathematics
1 answer:
zmey [24]3 years ago
4 0

Answer:

The answer is

-  \frac{4}{3}  \\

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4,7) and (-1,3)

We have

m =  \frac{3 - 7}{ - 1 -  - 4}  =  \frac{ - 4}{ - 1 + 4}  =   -  \frac{4}{3}  \\

We have the final answer as

-  \frac{4}{3}  \\

Hope this helps you

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Which of the following are solutions to the equation below?
Luden [163]

Answer:

c) -4/5

d) 4/5

Step-by-step explanation:

The given equation is 25x^2 -16 = 0

Adding 16 on both sides, we get

25x^2 = 16

Dividing both sides by 25, we get

x^2 = 16/25

Taking square root on both sides, we get

x = √(16/25)

x = ±4/5

Therefore, x = 4/5 and x = -4/5

Answers: C) and D)

Hope this will helpful to understand the concept.

Thank you.

4 0
3 years ago
Jaron walked 15 blocks north and then 3 blocks west to school. Marisol walked 3 blocks east and then 15 blocks south to school.
Svet_ta [14]

Answer:

sqrt(15² + 3²) = sqrt(15² + 3²)

Step-by-step explanation:

Using Pythagoras:

15 blocks North = 15 blocks south (direction opposite to each other)

3 blocks west = 3 blocks east (directions opposite to each other)

Hence distance traveled (d) :

JARON

D = sqrt(15² + 3²)

MARISOL:

D = sqrt(15² + 3²)

Hence ;

sqrt(15² + 3²) = sqrt(15² + 3²)

5 0
3 years ago
US THE DISTRIBUTIVE PROPERTY TO ANSWER
Svetradugi [14.3K]

Answer:

1. -6t - 18

2. 21n - 14

3. -28 + 7t

4. 5m - 30

5. -48 + 8c

6. -15y -24

Step-by-step explanation:

Hope this helps!!!

3 0
3 years ago
1. Ada purchased a house using a fixed rate mortgage. The annual interest rate is 6.3%
vlabodo [156]

The monthly  payment on the mortgage is option C) $2537.44

<u>Step-by-step explanation</u>:

  • Principal (P): $ 295,000
  • Rate (r): 6.3%  = 0.063
  • Number of times compounded (n): 12months\times15 years = 180
  • Number of years = 15

The formula is A = P(1 + r/n)^nt

⇒ A = 295000(1+0.063/180)^(180\times15)

⇒ A = 295000(180.063/180)^2700

⇒ A = 295000 (1.00035)^2700

⇒ A = 758854.5

Interest = Amount - Principle

⇒ 758854.5 - 295000

⇒ Interest = 463854.5

∴ The monthly payment for 15 years = 463854.5 / (15\times12)

The monthly  payment on the mortgage = 2576.9 (approximately option C)

8 0
3 years ago
Factor 20x2+25x-12x-15 by grouping
Hunter-Best [27]

Answer:

385-13x

Step-by-step explanation:

that is my answer

5 0
3 years ago
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