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slava [35]
3 years ago
11

for the graph y=-8 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your ans

wer in two or more sentences
Mathematics
1 answer:
navik [9.2K]3 years ago
5 0

perpendicular = negative reciprocal

should multiply with -8 to give -1

-8x = -1

x = -1/-8

perpendicular slope = 1/8

(explanation: perpendicular lines have a slope that is the negative reciprocal and multiply with 8 to give -1)

parallel slope = 8

(parallel lines have the same slope)

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
rosijanka [135]

y - 0 = 5(x-4)

  y = 5x-20

  5x - y = 20  Standard Form  


3 0
3 years ago
Jon's coin collection consists of quarters, dimes and nickels. If the ratio of quarters to dimes is 5:2, and the ratio of dimes
Margarita [4]

Answer:

The ratio of quarters to nickels is:

  • <u>15:8</u>

Step-by-step explanation:

To solve the exercise, you must first consider how big is the ratio of each one to the other, when it is mentioned that the ratio of quarters to dimes is 5:2 it means that for every 5 quarters, Jon has 2 dimes, for the more quarters there are with respect to the dimes, we simply divide the larger value by the smaller:

  • 5/2 = 2.5

Thus, we know that there are 2.5 more quarters than dimes. Now the following proportion: the ratio of dimes to nickels is 3:4, which means that for every 3 dimes there are 4 nickels, as the nickels are greater in quantity, we are going to see how many times they are greater in proportion than the dimes making again a division of the major over the minor:

  • 4/3 = 1.33333333333 (<em>we are going to use the fractional number so as not to lose decimals</em>).

As we can see, the nickels are a little more than 1 with respect to the dimes, now we are going to create two formulas with those values:

  • <em>q = 2.5d </em>
  • <em>n = 4/3 d</em>

Where:

  • q = quarters
  • d = dimes
  • n = nickels

As you see. We only express the calculated proportions, at first glance you can identify that the number of quarters is greater, but to know how much greater with respect to nickels we are going to divide the two values ​​that accompany "d" in the formulas:

  • <u>2.5 / (4/3) = 15/8</u>

If we express it in ratio as it is in the exercise, we obtain:

  • <u>15:8</u>

So, <u>15:8 is the ratio of quarters to nickels</u>, <em>which means that for every 15 quarters, jon has 8 nickels.</em>

8 0
3 years ago
X²+x=0<br> x³-25x=0<br> x²=4x<br> 4x²-4x=1
-BARSIC- [3]

Answer:

x²+ x = 0

x ( x +1 ) = 0

x = -1

x³-25x=0

x ( x² - 25 ) = 0

x² = 25

x = 5

x²=4x

x² - 4x = 0

x ( x- 4 ) = 0

x = 4

4x²-4x=1

4x²-4x - 1 = 0

4 x² - 2x - 2x - 1 = 0

2x ( 2x - 1 ) - 1 ( 2x- 1 ) = 0

2x- 1 ) ² = 0

2x = 1

x = 1/ 2

mark me as brainliest

7 0
3 years ago
Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he s
timurjin [86]

Answer:

(a) The amount of ice cream increase as temperature increases

(b)

y = 2x + 5 --- equation

y = 5 --- y intercept

m = 2 --- slope

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The relationship between the variables

From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.

In other words;

The amount of ice cream increase as temperature increases

Solving (b): The line of best fit

First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).

From (2), we select any 2 points on the line:

(x_1,y_1) = (15,35)

(x_2,y_2) = (0,5)

The slope (m) is:

m = \frac{y_2 -y_1}{x_2 - x_1}

m = \frac{5-35}{0-15}

m = \frac{-30}{-15}

m = 2

So, the line of best fit is:

y = m(x - x_1) + y_1

Substitute known values:

y = 2(x - 0) + 5

y = 2(x) + 5

y = 2x + 5

The y-intercept is when x=0

So, we have:

y = 2*0 + 5

y = 0 + 5

y = 5

6 0
3 years ago
The pieces of a puzzle are placed half by Giulio, one fifth by Marco and Fabrizio in equal parts, while Michele arranges on the
denis23 [38]

Answer:

Not exactly sure but I think it should be 30 pieces

Step-by-step explanation:

3 0
2 years ago
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