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shutvik [7]
3 years ago
15

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation. Afte

r how many hours will the bike rental cost a total of $10? Can you explain or show work so I can understand ?
Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer:

Equation: y=1.5x+4          Will total $10 after 4 hours

Step-by-step explanation:

Format: y=mx+b

y is total cost

m is per hour

b is starting cost

Equation: y=1.5x+4

After 4 hours, it will be $10 because:

10=1.5x+4

subtract 4 both sides

6=1.5x

divide 6 by 1.5

4=x

Hence the 4 hours answer

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Can someone help me out
MaRussiya [10]

Answer:

75.7

Step-by-step explanation:

Area of the sector,

17²×π×30/360

= 289π/12

= 75.7 (rounded to the nearest tenth)

Answered by GAUTHMATH

8 0
3 years ago
the slopes of a quadrilateral are -1/2, 3/2, -1/2, and 3/2. What conclusion about this shape cam be made.​
Talja [164]

The conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).

<em><u>Recall:</u></em>

  • The slopes of the opposite sides of a parallelogram are always parallel.
  • When two lines have a slope that is equal, the lines are said to be parallel to each other.

The slopes given shows are:

-1/2, 3/2, -1/2, and 3/2

This implies that the quadrilateral has two pairs of equal sides that are parallel to each other.

  • Therefore, the conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).

Learn more about parallelogram on:

brainly.com/question/3050890

4 0
2 years ago
Item 15 Question 1 Show that quadrilateral WXYZ with vertices W(−1,6), X(2, 8), Y(1, 0), and Z(−2,−2) is a parallelogram by find
Aliun [14]

Answer:

Multiple answers

Step-by-step explanation:

A parallelogram is a flat shape that has four sides. The two sets of opposite sides are parallel and of equal length to each other.

To prove that our figure is a parallelogram we first get the slope of our sides.

The formule we use to get the slope is:

m = \frac{y-y1}{x-x1}

  1. first we have the W-Z side that it's supossed to be parallel to X-Y side

if we use our formule to calculate the slope of W-Z:

\frac{6-(-2)}{-1-(-2)}  =  \frac{8}{1}  =  8

if we use our formule to calculate the slope of X-Y:

\frac{8-0}{2-1}  =  \frac{8}{1}  =  8

  • We know that parallel lines will never intersect because they have the same slope, therefore W-Z side is parallel to X-Y side

2. Then we have the W-X side that it's supossed to be parallel to Z-Y side

if we use our formule to calculate the slope of W-X:

\frac{6-8}{-1-2}  =  \frac{-2}{-3}  

if we use our formule to calculate the slope of Z-Y:

\frac{-2-0}{-2-1}  =  \frac{-2}{-3}  

  • We know that parallel lines will never intersect because they have the same slope, therefore W-X side is parallel to Z-Y side

Then we have to prove that the parallalel sides are equal length to each other.

The formule we use to get the distance between two points is:

\sqrt{(x2-x1)^{2}+(y2-y1)^{2}  }

We calculate the lenght of the W-Z side that it's supossed to be equal to X-Y side:

W-Z = \sqrt{(-1-(-2))^{2}+(6-(-2))^{2}  } =   \sqrt{65}

X-Y = \sqrt{(2-1)^{2}+(8-0)^{2}  } = \sqrt{65}

So the W-Z side have the same lenght to X-Y side.

We calculate the lenght of the W-X side that it's supossed to be equal to Z-Y side:

W-X = \sqrt{(-1-2)^{2}+(6-8)^{2}  } =   \sqrt{13}

Z-Y = \sqrt{(-2-1)^{2}+(-2-0)^{2}  } = \sqrt{13}

So the W-X side have the same lenght to Z-Y side.

6 0
3 years ago
How do you make y the subject?
Elden [556K]
2x+y=10
-2x      -2x
y=-2x+10
3 0
3 years ago
if we add 150 to the minuend of a subtraction and we remove 220 from the subtrahend. How much does the difference vay?
Alex17521 [72]

Answer:

Step-by-step explanation:

(m+150) - (s-200) = m-s + 350

The difference increases by 350

7 0
3 years ago
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