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Pavel [41]
3 years ago
5

Write the equation of a line in the given form.

Mathematics
1 answer:
Gnom [1K]3 years ago
3 0

Answer:

y = \frac{1}{4}x - 5

Step-by-step explanation:

Slope intercept form: y = mx + b

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

   = (-5 - (-4)) / (0 - 4)

   = -1 / -4

   = 1/4

Find y intercept using anyone of the given points and slope from above:

y = mx + b

-5 = \frac{1}{4}(0) + b

b = -5

Now use the above slope and y intercept to create equation of a line:

y = \frac{1}{4}x - 5

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A rectangle has an area of 226.1 square miles and a base of 13.3 miles. What is the height?
miskamm [114]

Answer:

The width (in our case it is the height) of the rectangle equals 17 miles

Step-by-step explanation:

In order to solve this, we need to know the following...

Area of a rectangle = Length x Width

(in our case based on what you said length is the base and width is the height)

Now we just change the formula to our needs and get that...

Width = Area of the rectangle / Length

And so we get...

Width = Area of the rectangle / Length

Width = 226.1 / 13.3

Width = 17 miles

3 0
3 years ago
The circumference of a roll of party streamers is 9 inches. The circumference decreases by 2 inches after you use the streamers
leonid [27]
For that case the new circumference is:
 C = 9 - 2
 C = 7 inches
 By definition, the circumference is:
 C = 2 * pi * r
 Where,
 r: radio
 Substituting values:
 7 = 2 * pi * r
 Clearing the radio:
 r = 7 / (2 * pi)
 Then, the diameter is:
 d = 2 * r
 Substituting:
 d = 2 * (7 / (2 * pi))
 d = 2.228169203
 Round to the hundredth:
 d = 2.23 inches
 Answer:
 
The diameter of the roll after the decrease is:
 
d = 2.23 inches
7 0
3 years ago
Express the function graphed on the axes below as a piecewise function.
dangina [55]

Answer:

y = 2/3x +6  for x< -3

y = 2/3x +1     for x> 3

Step-by-step explanation:

The graph is a line for  x < -3

( - 6,2) and ( -3,4)

The slope is m= ( y2-y1)/(x2-x1)

m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3

The slope is 2/3

Using point slope form

y-y1 = m(x-x1)  and the point ( -6,2)

y -2 = 2/3(x - -6)

y -2 = 2/3(x +6)

y-2 = 2/3 x +4

y = 2/3x +6 x< -3

The graph is a line for  x > 3

(3,3) and ( 6,5)

The slope is m= ( y2-y1)/(x2-x1)

m = ( 5-3)/(6-3) = 2/ (3) = 2/3

The slope is 2/3

Using point slope form

y-y1 = m(x-x1)  and the point (6,5)

y -5 = 2/3(x - 6)

y-5 = 2/3 x -4

y = 2/3x +1   x> 3

8 0
3 years ago
PLEASE HURRY 10 POINTS FOR ALL OF YOU
katrin2010 [14]

Answer:

288cm

Step-by-step explanation: She is a beach..Thats why shes rude

3 0
3 years ago
Read 2 more answers
I need help with this pls
Harlamova29_29 [7]

Answer:

Function 1 is linear

Step-by-step explanation:

A linear is a straight line on the graph.

4 0
3 years ago
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