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Serjik [45]
3 years ago
13

The hypotenuse of a right triangle is 34 inches. One leg of the triangle is 14 inches less than the other leg. In simplified for

m, which equation could be used to find the lengths of the legs?
Mathematics
2 answers:
Karolina [17]3 years ago
6 0
You can use the equation

{(x + 14)}^{2}  +  {x}^{2}  =  {34}^{2}
to find the lenth of the legs

x = leg 1
x + 14 = leg 2
Darya [45]3 years ago
6 0

Answer:

Answer is A

Step-by-step explanation:

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Write an equation for the line parallel to y = -7x + 15 that passes through the point P(9,-6).
Elan Coil [88]

Answer:

y = -7x + 57

Step-by-step explanation:

If the line is parallel, it will have the same slope. So, this line will also have a slope of -7.

Use y = mx + b, plug in the slope and given point, and solve for b:

y = mx + b

-6 = -7(9) + b

-6 = -63 + b

57 = b

Plug in the slope and y intercept into y = mx + b:

y = mx + b

y = -7x + 57

So, the equation is y = -7x + 57

6 0
3 years ago
HELP ASAP Keiko divided 5 cups of milk into 1/4 cup portions. How many 1/4 cup portions did Keiko have???
Anarel [89]

Answer:

20

Step-by-step explanation:

Given data

Number of cups= 5 cups

Number of portions= 1/4 portions

Hence the number of 1/4 portion can be gotten as

=5/1/4

=5*4/1

=20

Therefore, the number of 1/4 portions is 20

7 0
3 years ago
A couple purchased a home and signed a mortgage contract for $900,000 to
Tema [17]

9514 1404 393

Answer:

  • $33,336.83
  • $35,176.68
  • $36,869.23
  • $38,266.75
  • $39,158.08

Step-by-step explanation:

The amortization formula can be used to find the payment value.

  A = P(r/2)/(1 -(1 +r/2)^(2n))

where P is the principal amount at the beginning of the loan period, r is the annual interest rate, n is the number of years remaining on the loan

The value of A in this scenario is the semi-annual payment.

Initially, the interest rate is 0.055 and the number of years remaining is 25.

After the first 5-year period, the interest rate goes up by 12%, so is multiplied by a factor of 1.12 to become 6.16% per year. The same growth factor is applied to the interest rate at the beginning of each 5-year period.

Of course, the number of years remaining is decreased by 5 years at the beginning of the next 5-year period.

__

The Principal remaining at the end of each 5-year period is the starting principal for the next period. It is calculated from ...

  FV = P(1 +r/2)^10 -A((1 +r/2)^10 -1)/(r/2)

Where P is the starting principal, A is the loan payment as calculated above, and r is the annual interest rate.

__

These formulas are built into spreadsheet functions, so the desired set of loan payments can be calculated easily by that technology. The result is attached. In the "# pmts" column is the value used to amortize the loan for the 5-year period. The semiannual payment is calculated as though the loan would be completely paid off in that number of payments, keeping the same interest rate for the duration. Of course, that payment series is interrupted and the loan recalculated at the beginning of the next 5 years.

The half-yearly payments for each 5-year interval are ...

  $33,336.83

  $35,176.68

  $36,869.23

  $38,266.75

  $39,158.08

_____

<em>Additional comment</em>

The values displayed in the spreadsheet are rounded to the values shown. The values used in calculation have 14 or more significant digits. This means the numbers here may vary from those provided by a lending institution. In the real world, the principal and interest values are rounded to cents with each payment, so actual results may vary by a few cents either way.

7 0
3 years ago
What is 6.7 times 10 to the seventh power?
denis-greek [22]

Answer:

6.7 * (10^7) = 67 000 000

7 0
3 years ago
Read 2 more answers
Could somebody please help
bearhunter [10]
Lenght is 6, area is 12
8 0
2 years ago
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