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Natasha2012 [34]
2 years ago
14

Write the equation of the line in fully simplified slope intercept form

Mathematics
1 answer:
Naily [24]2 years ago
4 0

Answer:   y = (1/4)x - 1

Step-by-step explanation:

Slope intercept form is y = mx + b. The y-intercept is -1 so we have y = mx - 1. To find m, look at the points (0, -1) and (4, 0). The line goes up 1 and over 4, so the slope, m, equals 1/4. Thus the full equation is

$y = (1/4)x - 1.

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One-stray Problem Solving
anygoal [31]
A) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
__
a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
__
c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
3 0
2 years ago
The length of a rectangle is 7 centimeters greater than the width.
Lisa [10]

Answer:

length = 17cm, width = 10cm

Step-by-step explanation:

2L + 2w = 54

L = w + 7

Substitute:

2(w + 7) + 2w = 54

2w + 14 + 2w = 54

4w = 40

w = 10

L = 10 + 7 = 17

7 0
3 years ago
The graph below shows the number of open blossoms in a nursery and the number of hours after dawn. answer all that apply
uysha [10]

Answer:

The correct option is B.

Step-by-step explanation:

The given equation is

y=20x+3

This equation represent the number of open blossoms in a nursery after x hours.

At initial the number hours is 0.

Substitute x=0 in the given equation.

y=20(0)+3

y=0+3

y=3

The initial value is 3, it means there were three blossoms open at dawn. Option B is correct.

6 0
3 years ago
What is 1/8 of a full rotation
Naya [18.7K]

Answer:

45°

Step-by-step explanation:

If we consider a full rotation to be 360°, we can simply divide 360 by 8 to find 1/8 of a full rotation.

360 ÷ 8 = 45

1/8 of a full rotation is 45°

3 0
3 years ago
Ethan Doran is a physical therapist. His biweekly salary is $3,985. What is his annual salary? (Hint: You need to know how many
Furkat [3]
If you are paid bi-weekly, you will receive 26 checks a year.


$3,985x26=$103,610

Ethan Doran’s annual salary is $103,610.
6 0
3 years ago
Read 2 more answers
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