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Nostrana [21]
3 years ago
6

Two vertices of a right triangle have the coordinates (−2, 5) and (9, 5) . What is the length of the side formed by these vertic

es?
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
7 0
Note that those 2 points share the same y-coordinate (5).  Thus, all you have to do is to find the distance between the x-coordinate -2 and the x-coordinate 9.  That difference is 11, and that's the desired length.
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Given the linear equation 2x+y=6, perform the necessary operations to put the equation into the proper general form. Include the
e-lub [12.9K]

Answer:

y = -2x + 6

Step-by-step explanation:

2x + y = 6

Subtract 2x both sides

2x + y - 2x = 6 - 2x

y = -2x + 6

8 0
3 years ago
A family has a $93,411, 20-year mortgage at 5.4% compounded monthly. Find the monthly payment. Also find the unpaid balance afte
Mademuasel [1]

Answer:

  • payment: $637.30
  • 5-year balance: $78,505.48
  • 10-year balance: $58,991.59

Step-by-step explanation:

1. The relevant formula for computing the monthly payment A from principal P and interest rate r for loan of t years is ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

Filling in the numbers and doing the arithmetic, we get ...

  A = $93,411(0.054/12)/(1 -(1 +0.054.12)^-(12·20)) ≈ $637.30

__

2. The relevant formula for computing the remaining balance after n payments of amount p on principal P at interest rate r is ...

  A = P(1 +r/12)^n -p((1 +r/12)^n -1)/(r/12)

Filling in the given values and doing the arithmetic, we get ...

  A = $93,411(1.0045^60) -637.30(1.0045^60 -1)/(0.0045) ≈ $78,505.48

__

3. The same formula with n=120 gives ...

  A = $93,411(1.0045^120) -637.30(1.0045^120 -1)/(0.0045) ≈ $58,991.59

7 0
3 years ago
Can you help me the question please is so hard I was struggling for three hours
Kamila [148]
It seems you can fill in the table with the equation y = 3 * x
x = 1 then y = 3
x = 3 then y = 9

7 0
3 years ago
Read 2 more answers
6(4x+2)=3(8x+4) ??<br> please help asap
nasty-shy [4]
6(4x + 2) = 3(8x + 4)

Reorder the terms:
6(2 + 4x) = 3(8x + 4)
(2 * 6 + 4x * 6) = 3(8x + 4)
(12 + 24x) = 3(8x + 4)

Reorder the terms:
12 + 24x = 3(4 + 8x)
12 + 24x = (4 * 3 + 8x * 3)
12 + 24x = (12 + 24x)

Add '-12' to each side of the equation.
12 + -12 + 24x = 12 + -12 + 24x

Combine like terms: 12 + -12 = 0
0 + 24x = 12 + -12 + 24x
24x = 12 + -12 + 24x

Combine like terms: 12 + -12 = 0
24x = 0 + 24x
24x = 24x

Add '-24x' to each side of the equation.
24x + -24x = 24x + -24x

Combine like terms: 24x + -24x = 0
0 = 24x + -24x

Combine like terms: 24x + -24x = 0
0 = 0

Solving
0 = 0
4 0
3 years ago
Read 2 more answers
Daniel worked for 2 1/3 hours and earned $18.20. How much would he make if he worked for 5 1/4 hours? Enter your answer in the b
Aleks04 [339]
2 1/3hrs→ $18.20
1 hr→ $7.80
5 1/4hrs→ $7.80x5 1/4= $40.95
5 0
3 years ago
Read 2 more answers
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