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cricket20 [7]
3 years ago
7

Find the distance between each pair of points L(-7,0) ,Y(5,9)​

Mathematics
1 answer:
Sedbober [7]3 years ago
3 0

Answer:  The distance is 15

Step-by-step explanation:

To find the distance between L and Y find the difference in the x and y coordinates then square them and add them to find their square root.

-7-5= -12

0-9 = -9

12^2 + 9^2 = d^2   where d is the distance

144 + 81 = d^2

225 = d^2

d= \sqrt{225}  

d= 15

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Which of the following inequalities matches the graph? (1 point)
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Answer: 2x + y < 7

Step-by-step explanation:

In the graph we can see that:

The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:

y < a*x + b

We also can see that the slope of the line is negative, and that the y-intercept is +7

Then the inequality will be something like:

y < a*x + 7

Now we can see that the line passes through the points (0, 7) and (3, 1)

Then the slope will be:

a = (1 - 7)/(3 - 0) = -6/3 = -2

that is negative, as we already said.

Then we have:

y < -2*x + 7

we can rewrite this as:

2x + y < 7

This is the first solution shown.

7 0
2 years ago
One Friday night, two large groups of people called Weston Taxi Service. The first group requested 2 sedans and 1 minivan, which
muminat

Answer:

Sedan: 4 passengers

Minivan: 6 passengers

Step-by-step explanation:

We can write the following system of equations:

\begin{cases}2s+1m=14 \\2s+2m=20\end{cases}, where s represents the number of people a sedan can seat and m represents the number of people a minivan can seat.

Subtracting the first equation from the second, we have:

2s+2m-(2s+1m)=20-14,\\\\m=6

Now plug in m=6 in any of the equations to solve for s:

2s+1(6)=14, \\2s=8, \\s=4

Verify that the solution pair (4, 6) works:

2(4)+1(6)=14\: \checkmark \\2(4)+2(6)=20 \: \checkmark

Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.

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