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likoan [24]
2 years ago
6

0.355555555... as a fraction

Mathematics
1 answer:
Pie2 years ago
5 0

Answer:

7111/2000...........

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Which line is parallel to the line<br> shown below?
Travka [436]
<h3>Answer:  Choice D</h3>

4x - 3y = 15

====================================================

Explanation:

The two points (-1,-1) and (2,3) are marked on the line

Let's find the slope of the line through those two points.

(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2)  = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\

The slope is 4/3 meaning we go up 4 and to the right 3.

-------------

Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

3x + 4y = -4\\\\4y = -3x-4\\\\y = -\frac{3}{4}x-\frac{4}{4}\\\\y = -\frac{3}{4}x-1

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

  • slope of equation B is 3/4
  • slope of equation C is -4/3
  • slope of equation D is 4/3

We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

4 0
9 months ago
What is the area of this isosceles triangle.
frez [133]

Answer:

A=672 m²

Step-by-step explanation:

a²+b²=c² (to find h)

14²+b²=50²

196+b²=2,500

b²=2,304

√b²=√2,304

b=48

h=48

(base×height)÷2

(28×48)÷2

1,344÷2

A=672 m²

6 0
3 years ago
What is 1/1 minus 7/12
Stolb23 [73]
5/12 because 1/1 is a whole, 1, so all you have to do is 1 - 7/12.
5 0
3 years ago
Read 2 more answers
A 12.5 oz bag of Doritos costs $3.79. A 3 oz bag costs $1.00. What is the difference in unit rates?
Furkat [3]

Answer:

0

Step-by-step explanation:

12.5/3.79 = 3.2981530343

3.2981530343 rounded = 3.3

1/3 = 3.33333333333333

3.33333333333333 rounded = 3.3

3.3 - 3.3 = 0

3 0
2 years ago
Read 2 more answers
Trevor is racing his dirt bike at about 30 miles per hour. If he keep a up this rate for an hour and a half, how many miles will
Free_Kalibri [48]

Answer: 45 miles


Step-by-step explanation:

Since Trevor rides 30 mph and does this for 1.5 hours, multiply 30 by 1.5


30 * 1.5 = 45

3 0
3 years ago
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