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konstantin123 [22]
1 year ago
9

Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line y = 2x + 5.

The east edge cannot intersect with the west edge. On which line could the east edge be located?
2x − y = 96
−2x − y = 96
−y − 2x = 48
y + 2x = 48
Mathematics
1 answer:
ipn [44]1 year ago
7 0

Answer:

Line of east wedge is: 2x - y = 96

So, Option 1 is correct.

Step-by-step explanation:

The east edge cannot intersect with the west edge means that two lines are parallel.

If the two lines are parallel then they have same slope. We need to find the slopes of given lines and check which line has slope same as slope of west edge.

Slope of west edge.

y = 2x + 5

The standard equation for slope intercept form is:

y = mx+b

where m is the slope. So, m= 2

Now finding line for east edge.

Option 1.

Convert each given equation to standard slope intercept form and find the slope.

2x -y =96

-y = -2x +96

Multiply with -1

y = 2x -96

m = 2

Option 2.

-2x -y = 96

-y = 2x +96

y = -2x-96

m = -2

Option 3

-y-2x =48

-y = 2x +48

y = -2x -48

m = -2

Option 4.

y+2x = 48

y = -2x+48

m = -2

So, only line of Option 1 has slope = 2 which is equal to the slope of west edge.

Line of east wedge is: 2x - y = 96

So, Option 1 is correct.

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Andre45 [30]

Options:

A. Both the Highlands and the Lowlands data points are evenly distributed around the center.

B. Both the Highlands and the Lowlands data points are clustered toward the left of the plot.

C. The Highlands data points are evenly distributed around the center, while the Lowlands data points are clustered toward the left of the plot.

D. The Highlands data points are clustered toward the left of the plot, while the Lowlands data points are evenly distributed.

Answer:

B. Both the Highlands and the Lowlands data points are clustered toward the left of the plot.

Step-by-step Explanation:

From the dot plots displaying rainfall totals for highland and lowland areas as shown in the diagram attached below, we can clearly observe that most of the dots on the plot tend to be more concentrated towards the left of the plot, compared to the concentration of dots toward the right of the plot.

Invariably, we can infer that data points for lowlands and Highlands are clustered toward the left of the plot.

Therefore, the statement that is true, comparing the shapes of the dot plot is B. "Both the Highlands and the Lowlands data points are clustered toward the left of the plot."

7 0
1 year ago
Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 mph, and the rest was along a hi
pashok25 [27]

Answer:

45 miles.

Step-by-step explanation:

Given that the:

Total distance covered = 390 miles

Total time = 8 hours

Let the distance covered along the local way = L

And the distance covered along the highway = H

Along with local way,

Speed = distance/ time

20 = L / T

T = L /20 .... (1)

Along the highway,

Distance covered H = 390 - L

Let the time = t

Speed = distance/time

60 = (390 - L)/t

t = ( 390 - L)/60

But total time = T + t

That is

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The LCM at right hand side will be 60

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Cross multiply

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Collect the like terms

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Therefore, the distance Minato drive along local roads is 45 miles

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krek1111 [17]
The answer is 169/5:8 = 5. It helps me alot it could help you to.
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FIRST ONE TO ANSWER GETS BRAINLIEST Henry divided his socks into five equal groups. Let s represent the total number of socks. W
Alex777 [14]

Answer: There are 20 socks in the first case and there are 75 socks in the second case.

Step-by-step explanation:

Since we have given that

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Step-by-step explanation:

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