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Bond [772]
2 years ago
7

What are the coordinates of the point on the directed line segment from (1,-5) to

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
6 0

Answer:

Q (2.5, -4)

Step-by-step explanation:

Let A (1, -5), C = (10, 1), find Q (x, y), so that AQ:QC = 1:5

AQ = (x - 1, y + 5)

QC = (10 - x, 1 - y)

AQ:QC = 1:5

so 5*AQ = QC

5(x - 1) = (10 - x)

5(y + 5) = 1 - y

Solve them:

5x - 5 = 10 - x

6x = 15

x = 15/6 = 2.5

5y + 25 = 1 - y

6y = -24

y = -24/6 = -4

Then answer is Q (2.5, -4)

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Simplify the midpoint of PR.<br> Q (2b, 2c)<br> R (2a+2b, 2c)<br> Pl(0,0)<br> S (2a, 0)
Tomtit [17]

Answer:

The midpoint of PR is;

(a + b, c)

Step-by-step explanation:

Here, we want to get the coordinates of the midpoint of PR

To get these, we make use of the midpoint formula

Mathematically, that will be;

(x,y) = (x1+y1)/2, (x2+y2)/2

(x1,y1) = (0,0)

(x2,y2) = (2a+2b, 2c)

The midpoint is thus;

(2a+2b)/2 , 2c/2

= (a + b, c )

4 0
3 years ago
Tisha babysat for 5 hours and earned $32.50. At the same rate, how much would she earn in 8 hours?
kolezko [41]
Start by finding her hourly rate. 32.50/5 = 6.5
Next times 6.5 * 8 = 52
Working 8 hours she would make $52
I wish I made that much.
3 0
3 years ago
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18+3x=-10+x what is x
son4ous [18]
18+3x=-10+x
3x-x=-10-18
2x=-28
x=-14
7 0
3 years ago
Read 2 more answers
Given the system of equations:
uranmaximum [27]

Answer:

x=4

y=2

Step-by-step explanation:

2x+2y=12

x−y=2

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

2x+2y=12,x−y=2

To make 2x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 2.

2x+2y=12,2x+2(−1)y=2×2

Simplify.

2x+2y=12,2x−2y=4

Subtract 2x−2y=4 from 2x+2y=12 by subtracting like terms on each side of the equal sign.

2x−2x+2y+2y=12−4

Add 2x to −2x. Terms 2x and −2x cancel out, leaving an equation with only one variable that can be solved.

2y+2y=12−4

Add 2y to 2y.

4y=12−4

Add 12 to −4.

4y=8

Divide both sides by 4.

y=2

Substitute 2 for y in x−y=2. Because the resulting equation contains only one variable, you can solve for x directly.

x−2=2

Add 2 to both sides of the equation.

x=4

The system is now solved.

x=4,y=2

Correct choice is B) x=4.

8 0
2 years ago
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How much interest will Sara pay if she borrows:<br> $1,400 at 4% for 60 months.
navik [9.2K]

Answer:

Sara will have a 3,360 interest fee.

Step-by-step explanation:

4% of 1,400 is 56. 56 X 60 = 3,360

8 0
3 years ago
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