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FinnZ [79.3K]
2 years ago
15

A line passes through the point (-4,-5) and had a slope of 5/2. Write an equation in slope-intercept form

Mathematics
1 answer:
daser333 [38]2 years ago
4 0

Step-by-step explanation:

as we have a point and the slope, we can start with the point-slope form and then transform.

the point-slope form is

y - y1 = a(x - x1)

(x1, y1) being a point on the line, a being the slope.

the slope-interceot form is

y = ax + b

a being the slope again, b being the y-intercept (the y value for x = 0).

so, we have

y - -5 = 5/2 × (x - -4)

y + 5 = 5/2 × (x + 4) = 5x/2 + 5×4/2 = 5x/2 + 10

y = 5x/2 + 5

or

y = (5/2)x + 5

and this is already the slope-intercept form. all done.

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What is the distance between the points (4, 7) and (4, −5) ?
Ray Of Light [21]

Answer:

12 units

Step-by-step explanation:

the 2 points have the same x but different y so you would find the difference of the y values

|-5|+|7|=12

12units away

3 0
3 years ago
Which of the following could be solved by using the equation –5 + 5 = 0? A. Jack made five piles with five cards in each pile. B
Anastaziya [24]

The answer is D. When Sam lost five points it is -5, but then he gained five points +5.

8 0
3 years ago
Read 2 more answers
Find the value of 5/32 divided by 25/4. show your reasoning
boyakko [2]

Answer:

Step-by-step explanation:

we can use reciprocals to solve this

(5/32)/(25/4) = (5/32)*(4/25) = 20/(32*25) = 20/800 = 2/80 = 1/40 = .025

rewrite

so reciprocals is a method in which division can be turned into fractions which can be turned into multiplication

heres an example

x/2=0.5x

y/4=0.25y

so 0.5x/0.25y would be the same as (x/2)/(y/4) which can be converted to a reciprocal where it would look like (x/2)*(4/y) which makes our answer 4x/2y which we can simplify to 2x/y

same concept for (5/32)/(25/4), first we can make it into a reciprocal (note, reciprocal means just flipping one of the fractions and replacing the division sign as multiplication) by writing (5/32)*(4/25)  

now we multiply numerator by numerator to get 20

and we multiply denominator by denominator to get 800

20/800 = 2/80 = 1/40

7 0
3 years ago
On a rectangular piece of cardboard with perimeter 10 inches, three parallel and equally spaced creases are made (see Figure 1).
salantis [7]
<h3>Answer:</h3>
  • x = 5/6 in ≈ 0.83 in
  • v = 125/108 in³ ≈ 1.16 in³
<h3>Explanation:</h3>

The width of the cardboard (in inches) will be 4x, and its length will be (5-4x) so the perimeter adds up to 10 in. Then the volume is the product of the area of the open ends (x²) and the length (5-4x).

The graphing calculator shows that volume is maximized when the value of x is 0.833, or 5/6 inch. The corresponding length is 5-4x = 5/3 inch, so the volume is ...

... v = (5/6)²×(5/3) = 125/108 . . . . in³

The corresponding decimal values of x and volume are ...

... x ≈ 0.83 in

... v ≈ 1.16 in³

8 0
3 years ago
TRY Understand<br> -----------------<br> 2
Lynna [10]

Answer:

My first thought is it's saying "try to understand" but also understand is two words put together so if it's divided by 2 it's stand under? not sure, sorry

7 0
2 years ago
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