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Sveta_85 [38]
3 years ago
13

One side of a right triangle is 8 cm shorter than the hypotenuse and 7 cm shorter than the third side. Find the lengths of the s

ides of the triangle.
Mathematics
1 answer:
Reptile [31]3 years ago
7 0

Answer:

5 cm

Step-by-step explanation:

Let the shorter side be a, longer side be b, hypotenuse be c

By Pythagorean theorem:

a² + b² = c²

a² + (a + 7)² = (a + 8)²

a² + a² + 14a + 49 = a² + 16a + 64

a² - 2a - 15 = 0

a² + 3a - 5a - 15 = 0

a(a + 3) - 5(a + 3) = 0

(a + 3)(a - 5) = 0

a = -3 or a = 5

Because a is a side length and is a positive number

a = 5

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Find the slope (3,6)<br> (3,-3) need in 5 minutes
avanturin [10]

Answer: The slope is undefined.

Step-by-step explanation:

Using the formula given, find the difference in the y coordinates of the points and divide it by the x coordinates.

(3,6)

(3,-3)  

y coordinates:  6 - (-3) =  9

x coordinates:   3- 3 = 0  

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4 0
3 years ago
wrangler has 300 dollars to spend on school supplies. He spent 1/10 on notebooks. How much does he have left?
marshall27 [118]

Answer:

Step-by-step explanation:

<u>Method 1:</u>

$300 on school supplies

1/10 on notebooks

As you're finding how much is left:

10/10-1/10=9/10

Convert 9/10 into a decimal

9/10=0.9

300*0.9=$270

OR

<u>Method 2: </u>

1/10=0.1

300*0.1=$30

Take away 30 from $300

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By using either method, You would still have $270 left.

How this helps!!!

Have a nice day :)

4 0
3 years ago
Can someone please help me with this math problem.
mr Goodwill [35]
PART A:
Find the rate of change between 1980 and 1989
d for P₁ = 80 - 60
d for P₁ = 20

d for P₂ = 76 - 82
d for P₂ = -6

The rate of change in P₁ is 20 hundred per year. The rate of change in P₂ is -6 hundred per year.

PART B:
Find the rate of change between 1989 and 1996
d for P₁ = 100 - 80
d for P₁ = 20

d for P₂ = 70 - 76
d for P₂ = -6

The rate of change in P₁ is 20 hundred per year. The rate of change in P₂ is -6 hundred per year.

PART C:
Find the rate of change between 1980 and 1996
d for P₁ = 100 - 60
d for P₁ = 40

d for P₂ = 70 - 82
d for P₂ = -12

The rate of change in P₁ is 40 hundred per year. The rate of change in P₂ is -12 hundred per year.
4 0
3 years ago
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