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tatiyna
3 years ago
15

The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 0) and (8, 2). A small triangle

has a rise of 1 and run of 4, and a larger triangle has a rise of 2 and run of 8. Which expression finds the equation of the line? StartFraction y Over x EndFraction = one-fourth StartFraction y Over 4 EndFraction = StartFraction x Over 1 EndFraction StartFraction y Over x EndFraction = StartFraction 4 Over 1 EndFraction StartFraction y Over 1 EndFraction = StartFraction 4 Over x EndFraction
Mathematics
2 answers:
drek231 [11]3 years ago
4 0

Answer:

  \dfrac{y}{x}=\dfrac{1}{4}

Step-by-step explanation:

When the line goes through the origin (0, 0), we can say that y is proportional to x. Then the ratio of y (the vertical measure) to x (the horizontal measure) is the same as the ratio of "rise" (the vertical change) to "run" (the horizontal change).

  y/x = rise/run = 1/4

The equation of the line is ...

  y/x = 1/4

emmainna [20.7K]3 years ago
3 0

Answer:

Th answer is C

Step-by-step explanation:

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Katie lunch cost 17 dollars no tax she gave a tip of 18 percent of the cost of lunch what’s the total cost no tax
Pie
Answer: $20.06

To find how much 18% of the cost is, convert the percentage to a decimal by dividing by 100. Then multiply that decimal to the cost.

18/100 = .18 (percentage as decimal)
17*.18 = $3.06 (18% of the cost)
3.06+17 = $20.06 (total price with tip of 18% and cost)
6 0
3 years ago
What is the slope of the line that contains the points (-2, 7) and (2, 3)?
charle [14.2K]
Slope = rise/run
rise = 7 - 3 = 4
run = -2 - 2 = -4
slope = 4/-4 = -1
Answer is B
3 0
3 years ago
68 students choose to attend one of three after school activities: football, tennis
kolezko [41]

Answer:

Total students = 68

boys = 24

football total = 3

running = 16

therefore probability = 16/68

which is = 4/17

hope it helps

8 0
3 years ago
Read 2 more answers
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
VashaNatasha [74]
Short answer
y >-x + 4
y <= 2(x - 1)^2 - 18

Comment

Let's establish what we are talking about. The question says purple and to me purple means the shaded area above the blue and to the upper right of the parabola. 

Not so. It is the wine colored area right above the parabola according to the direction of he inequalities.

Second thing: the question is trying to see if you can read all he information you need from a graph. 

Step One
Find the equation of the line.
We can read 2 points right away the x and y intercepts.
(4,0) is the x intercept
(0,4) is the y intercept

The general equation for the slope intercept equation is
y = mx + b So when x = 0 then b = y
4 = m*0 + b
b = 4

This far we have
y = mx + 4
when x = 4, y = 0
0 = m*4 + 4 Subtract 4 from both sides.
-4 = m*4      Divide by 4
-4/4 = m
m = - 1

Complete equation is y = -1x + 4
The inequality is y > -x + 4            Top answer block.

Step Two

Find the equation for the parabola

You could just read the minimum point which is (1,-18) There is a catch. (Isn't there always?) This may have a constant in front of the (x - a)^2 term. We'll check that out in the next step.

y = (x - 1)^2 - 18 is the basic vertex solution

Step Three
Find the value of a in
y = a(x -  1)^2 - 18
You have to do this because the answer has a space before the brackets. We need another point. The y intercept might work. 

y = a(0 -1)^2 - 18
Use the point (0,-16)
-16 =  a(1) - 18 
-16 = a - 18 Add 18 to both sides.
2 = a

So the equation of the quadratic is
y <= 2(x - 1)^2 - 18 <<<<<< answer second section down on your question sheet.


5 0
3 years ago
Click on the attachment &lt;3 answer, please and thank you (:​
natta225 [31]

Answer:

10

Step-by-step explanation:

x-7=?

x=17

17-7=10

7+10=17

17=17 Correct :)

5 0
3 years ago
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