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Artemon [7]
3 years ago
15

Find the equation of the line (in slope-intercept form) through the points (1,-4) and with slope 5/2.

Mathematics
1 answer:
Phoenix [80]3 years ago
8 0

Answer:

Equation of a line is y = mx + c

Where m is the slope

c is the y intercept

Equation of the line using point

( 1 , - 4) and slope 5/2 is

y + 4 =  \frac{5}{2} (x - 1) \\  \\ y + 4 =  \frac{5}{2} x -  \frac{5}{2}  \\  \\ y =  \frac{5}{2} x -  \frac{5}{2}  - 4 \\  \\  \\ y =  \frac{5}{2} x -  \frac{13}{2}

Hope this helps you

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A ramp with a one meter distance from edge to edge reaches a height of 0.643 meters. What is the value of the acute angle?
natita [175]

The value of the acute angle is 40°

Step-by-step explanation:

Let the angle be 'θ'

Length of the ramp = 1 m

Height = 0.643 m

To find :

The angle of elevation.

we can use sine to find the angle of elevation.

sin θ = 0.643/1

sin θ = 0.643

0.643 = sin 40°

sin θ = sin 40°

So, θ = 40°

The angle of elevation is 40°

4 0
3 years ago
1. A study of college freshmen found that students who watched TV for more than one hour each night gained 15 pounds in the firs
umka21 [38]

Answer:

C.  They most likely used an observational study asking students to keep track of their TV habits and weight.

A.  This is an experiment because a treatment was applied to a group.

Step-by-step explanation:

According to our question:

1. The study concluded that there is a relation between watching TV and the weight gain in college freshmen.

Now, this is possible when a group of college students were asked to participate to watch TV for more than 1 hour for a specific amount of time and have a record of their weights.

So, the study is an observational study where the habits and weights of college students were observed.

Hence, option C is correct.

2. The students were divided onto two groups where one group used the computer program and the other did not to check the improvement in the reading levels.

This means that the students were given a procedure to follow during the study in order to see the results..

So, the study is an experiment where a treatment is applied to the group of students.

Hence, option A is correct.

8 0
2 years ago
Read 2 more answers
Simplify.<br> 3/4 squareroot -48
zepelin [54]

Answer:

3i √3

Step-by-step explanation:

you can't have the square root of a negative number

so we use "i"

6 0
3 years ago
Solve this problem on paper using all four steps. A girl scout troop sold cookies. If the girls sold 5 more boxes the second wee
zhenek [66]
Assume the girls sold X boxes in the first week. They sold in the second week X+5 and 2X+10 in the third week.

The sum X + X + 5 + 2X + 10 = 431
4X = 416. Therefore X = 104
The answers are:
a0 = 104
a1 = 109
a2 = 218

Hope that helps you :)
6 0
3 years ago
SOLVE FOR M. please :)
STatiana [176]

Answer:

m =  - 28

Step-by-step explanation:

\frac{ - 3}{7} m = 12

\frac{ - 7}{3} ( \frac{ - 3}{7})m =  \frac{ - 7}{3}  \times 12

\frac{ - 1}{3} ( - 3)m =  \frac{ - 7}{3}  \times 12

- 1( - 1)m =  \frac{ - 7}{3}  \times 12

1 \times m =  \frac{ - 7}{3}  \times 12

m =  \frac{ - 7}{3}  \times 12

m =  \frac{ - 7}{3}  \times 12

m =  \frac{ - 7}{3} (3 \times 4)

m =  - 28

<h3>Hope it is helpful....</h3>
3 0
3 years ago
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