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exis [7]
3 years ago
9

A right triangle is drawn on a coordinate plane. Two vertices of the triangle are points R(−9,6) and T(10,−7) . The third vertex

of the triangle is point S, which lies in the first quadrant of the coordinate plane.
What is the distance from point S to point T?
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
4 0
The coordinates of point S would be (10,6), so the distance from point T to point S would be 13. :) 
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lord [1]

Answer:

x=5

Step-by-step explanation:

x+5 = -3x+25

Add 3x to each side

x+3x+5 = -3x+3x+25

4x +5 = 25

Subtract 5 from each side

4x+5-5 = 25-5

4x = 20

Divide each side by 4

4x/4 = 20/4

x =5

6 0
3 years ago
Read 2 more answers
Katy's favorite rides at the amusement park are the roller coasters and water slide. The wait time for the roller coaster is 25
ioda

Answer:

She went on the slide 8 times and on the roller coaster 4 times

Step-by-step explanation:

We convert each statements to a mathematical equation.

Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.

Mathematically, R + S = 12. ........(i)

Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.

To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.

Mathematically, 25R + 10S = 180 .......(ii)

Here we now have two equations that we can solve simultaneously.

From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:

25(12 - s) + 10s = 180

300 - 25s + 10s = 180

300 - 25s + 10s = 180

300 - 15s = 180

15s = 300 - 180

15s = 120

S = 120/15

S = 8

S = 8 , and R = 12 - S = 12 - 8 = 4

7 0
3 years ago
Salma is in charge of decorating the school gym for a party. She has budgeted some money for decorations. Balloons (x) cost $2.5
Artyom0805 [142]

Answer:

your answer would be A.

Step-by-step explanation:

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3 years ago
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erastova [34]

let the width of the rectangle be x

area of rectangle is l*b

x * (x + 6) = 40^2

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Hope you found this useful

4 0
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a 3 pound tub of butter at n dollars per pound costs $3.85. select the equation that most accurately depicts the word problem
Oksi-84 [34.3K]
<span>the equation that most accurately depicts the word problem  is
3xn=$3.85
proof
n=</span>
<span>n=$3.85/3=$1.28
the price is $1.28 per pound, 3 pound costs 3x$1.28=$3.85
</span>
4 0
3 years ago
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