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3 years ago

Create a number line. Plot the following numbers on the number line: 5, -10, 20, -5, 0, 10, -20

Mathematics

1 answer:

Goryan [66]3 years ago

4 0

-20,-10,-5,0,5,10,20

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Use the Pythagorean theorem to find the lengths of the sides of the right triangle. Use a calculator when necessary. A right tri

Doss [256]

Answer:

The length of the sides of the right angle triangle

15 , 25, 20

Step-by-step explanation:

Explanation:-

Step(i):-

we know that by using Pythagorean theorem to find the lengths of the sides of the triangle

AC² = AB² + BC²

Given a right triangle has legs labeled 3m and 2m+10

let us assume that AB = 3m and BC = 2m + 10

Given a hypotenuse labeled 5m

let us assume that hypotenuse AC = 5m

Step(ii):-

Now by using Pythagorean theorem

AC² = AB² + BC²

(5m)² = (3m)² + (2m+10)²

25m² = 9m² + 4m² + 40m + (10)² ( since (a + b)² = a²+2ab+b²) )

on simplification , we get

25m²-13m² -40m -100 =0

12m² -40m -100 =0

4(3m² -10m -25) =0

3m² -10m -25 =0

3m² - 15m + 5m -25 =0

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

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

3m +5 =0 and m-5=0

3m = -5 and m =5

$m = \frac{-3}{5}$ and m=5

we can not choose negative value

so the value m=5

Step (iii):-

The sides of right angle triangle

AB = 3m

AB = 3(5) = 15 and

BC = 2m + 10

BC = 2(5) +10 = 20

The hypotenuse AC = 5m

AC = 25

Conclusion:-

The lengths of the sides of the right triangle

15, 25 ,20

3 0

4 years ago

Answer these two to get 20 points!!

solmaris [256]

25 and 28
Hope this helps!!!

4 0

3 years ago

What is one million, three hundred thousand in figures

Naya [18.7K]

Answer:

1,300,000

Step-by-step explanation:

the millions is two sets of 0's away then the 300 is only one set

5 0

4 years ago

How do you do this? Explanation please #46

Charra [1.4K]

8 3/4 times. Hope this helps :)

6 0

4 years ago

Given that (-3,1) is on the graph of f(x), find the corresponding point for the function f(x-1)

Helen [10]

Answer:

(-2,1)

Step-by-step explanation:

So we are given f(-3)=1 since the point (-3,1) is on f(x).

We want to use this point to find a point on f(x-1).

Now,

f(-3)=1

and we want

f(x-1)=1

What would x need to be such that x-1 is -3.

x-1=-3

Add 1 on both sides:

x=-3+1

x=-2

x would need to be -2 in f(x-1)=1 in order to use that f(-3)=1.

So (-2,1) is the point for the function f(x-1) that corresponds to the point (-3,1) for f(x).

I know that f(x-1) would only be effecting our input because x-1 is the input.

8 0

3 years ago