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Lemur [1.5K]
2 years ago
8

What is the slope of the line that goes through the points (1,-5) and (4,1)?

Mathematics
1 answer:
lesya692 [45]2 years ago
4 0

Answer: m = 2

Step-by-step explanation:

What we know:

  • The slope needs to pass through the points (1, -5) and (4, 1)
  • There are 4 potential slopes given to us- only one is correct
  • We need to find the slope and make sure it is an option

How to solve:

By using the slope equation and the two points given to us, we can calculate the slope.

Process:

  • Set up equation                                                 (y2 - y1) / (x2 - x1)
  • Substitute                                                            (1 +5 ) / (4 - 1)
  • Simplify                                                                6 / 3
  • Simplest form                                                      2/ 1 =

Slope =                                                                          2

Solution: m = 2

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What set of transformations could be applied to rectangle ABCD to create A″B″C″D″? 'Rectangle formed by ordered pairs A at negat
CaHeK987 [17]

Answer:

Reflection over the y-axis and rotation of 180°

Step-by-step explanation:

We have,

Rectangle ABCD with co-ordinates A(-4,2), B(-4,1), C(-1,1) and D(-1,2).

It is transformed to a new rectangle A'B'C'D' with co-ordinates A'(-4,-2), B'(-4,-1), C'(-1,-1) and D'(-1,-2).

The graph of both the triangles is shown below.

we see that,

The rectangle ABCD is reflected about y-axis and then rotated 180° to obtain A'B'C'D'.

                     Reflected about y-axis                     Rotation of 180°

A= (-4,2)                     (4,2)                                              A'= (-4,-2)

B= (-4,1)                      (4,1)                                                B'= (-4,-1)

C= (-1,1)                       (1,1)                                                 C'= (-1,-1)

D= (-1,2)                      (1,2)                                                 D'= (-1,-2)

Hence, the second rectangle is formed by: Reflection over the y-axis and rotation of 180°.

5 0
2 years ago
Read 2 more answers
Will give Brainlest and I please be accurate
joja [24]

Answer:

55.04 m 2

Step-by-step explanation:

I am 100% sure this is right.

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5 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!!!!!!!!!!!!!
Lelechka [254]

x=4.75

6×4.75=28.5

15×4.75-12=59.25

19×4.75+2=92.25

28.5+59.25+92.25=180

m<MNI= 92.25

I think this is right. I hope that it was helpful:)

8 0
2 years ago
Solve pls brainliest
tatyana61 [14]

Answer:

1/4

Step-by-step explanation:

20n=5

n=5/20

n=1/4

therefore, it's 1/4

3 0
2 years ago
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Jake's test scores are 86, 70, 72, 100, 96, and 80. What must Jake earn of his last test to earn a mean grade of exactly 85%?
kompoz [17]

Answer:

91

Step-by-step explanation:

Mean is calculated as

mean = \frac{sum}{count}

let x be his test score of his last test , then

\frac{86+70+72+100+96+80+x}{7} = 85 ( multiply both sides by 7 )

504 + x = 595 ( subtract 504 from both sides )

x = 91

4 0
2 years ago
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