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icang [17]
3 years ago
11

Do the following lengths form a right triangle?​

Mathematics
1 answer:
9966 [12]3 years ago
7 0

Answer:

Yes

Step-by-step explanation:

The lengths of this right angle triangle (6, 8, 10) proves that the polygon is indeed a right angle triangle. This is because there are certain ratios to prove that a right angle triangle is indeed a right angle triangle. These are called the Pythagorean Triples . Some examples include; (3, 4, 5), (7, 24, 25) and (28, 45, 53). The Pythagorean Triple 3, 4, 5 can be scaled up to provide the triple 6, 8, 10, where the scale factor is 2.

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Find (f•g) (k) equations in red letters
chubhunter [2.5K]

The answer is (f . g)(x) = - (34k + 17k⁷ + 17k⁵ + 40k³ + 20k² + 60).

Remember that :

<u>(f . g)(x) = f(x) × g(x)</u>

<u />

Hence :

  • (f . g)(x) = (2k³ + k² + 3)(-17k⁵ - 20)
  • (f . g)(x) = -34k⁸ - 17k⁷ - 17k⁵ - 40k³ - 20k² - 60
  • (f . g)(x) = - (34k + 17k⁷ + 17k⁵ + 40k³ + 20k² + 60)
3 0
2 years ago
Sam’s Swimming Pool Cleaning has an annual gross profit of $88,400. Sam charges $25 per week for each of his customers for 52 we
jeyben [28]
To get how many customers Sam has, write an equation that will relate to the gross profit. Let n be the customers. Since for 52 weeks, Sam charges $25 per week per person, multiply n by the number of weeks and the charge. The equation is written as $88,400 = 52 weeks x $25 per week x n persons. Divide $88,400 by the product of 52 weeks and the $25 charge. The answer will be 68. The annual operating expense $48,000 is just there to make confusion. 
7 0
3 years ago
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Which measurement has the LEAST capacity?
dexar [7]

Answer:

30 cups

Step-by-step explanation:

only equal to 15 pints

7 0
3 years ago
the value of k so that the line Containing the points (-8,k) and (-4,-8) is perpendicular) to the line containing the points (10
In-s [12.5K]

Answer:

k= \frac{-34}{3}

Step-by-step explanation:

<u>Step 1 :</u>-

<u>Perpendicular condition :-</u>

<u>Step 1:-</u>

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

m_{2} = \frac{-1}{m_{1} }

m_{1} m_{2} = -1

<u>Step 2:-</u>

The given points are (-8,k) and (-4,-8)

m_{1} = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

finding slope of the first line is m_{1}

using formula m_{1} = \frac{-8-k}{-4+8}

=  \frac{-8-k}{4}

finding slope of the second line is m_{2}

using formula m_{2} = \frac{--5+11}{5-10}

=  \frac{6}{-5}

<u>Step 3:</u>-

using perpendicular condition

The two lines are perpendicular and their slopes are

m_{1} m_{2} = -1

(\frac{-k-8}{4} )(\frac{-6}{5} )= -1

simplification,we get solution is

\frac{6(k+8)}{20} =-1

6 k+48 =-20

6 k = -20 -48

6 k = -68

\frac{-68}{6}

k= \frac{-34}{3}

<u>Final answer is </u>

k= \frac{-34}{3}

8 0
3 years ago
!!PLEASE HELP ME!!
Sati [7]

12/x2+7x

hope it is right

6 0
3 years ago
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