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MrMuchimi
2 years ago
12

A right triangle has a leg that measures 15 ft and the hypotenuse measures 24 ft. What would the

Mathematics
1 answer:
Serhud [2]2 years ago
3 0

Answer:

x=19

Step-by-step explanation:

First, you place the numbers in place of the variables in their relative positions using the pythagorean theorem:

15^{2} +x^{2}=24^{2}

Then you square the numbers that you currently have:

225+x^{2}=576

Then subtract 225 from both sides to isolate the x:

x^{2} =576-225

This gives you the equation:

x^{2} =351

Then take the square root of both sides which gives you:

x=18.7349939952

Then round to the nearest whole number which gives you x=19

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Diego is solving this system of equations:
USPshnik [31]

The solutions of the equations are x = 1 and y = 2

The system of equations are

4x + 3y = 10

-4x + 5y = 6

Here we have to use the elimination method. Eliminate the x term and find the value of y term

Add both equation

3y + 5y = 10 +6

Add the like terms

8y = 16

y = 16 / 8

Divide  the terms

y = 2

Substitute the value of x in the first equation

4x + 3y = 10

4x + 3×2 =  10

Multiply the terms

4x + 6  = 10

4x = 10 - 6

4x = 4

x = 4 / 4

Divide the terms

x = 1

Hence, the solutions of the equations are x = 1 and y = 2

Learn more about elimination method here

brainly.com/question/14619835

#SPJ1

7 0
1 year ago
What are the ordered pairs of the
9966 [12]

Start by writing the system down, I will use y to represent f(x)

y=x^2-5x+3\wedge y=-3

Substitute the fact that y=-3 into the first equation to get,

-3=x^2-5x+3

Simplify into a quadratic form (ax^2+bx+c=0),

x^2-5x+6=0

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

x^2+x(m+n)+mn=0

which then must factor into

(x+m)(x+n)=0

And the solutions will be m,n.

Clearly for small coefficients like ours 5,6, this is very easy to figure out. To get 5 and 6 we simply say that m=3, n=2.

This fits the definition as 5=3+2 and 6=2\cdot3.

So as mentioned, solutions will equal to m=3, n=2 but these are just x-values in the solution pairs of a form (x,y).

To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are (2,0) and (3,0).

Hope this helps :)

5 0
2 years ago
HELPP PLEASE DUE TOMMOROW PLEASE ANSWER QUESTION B
marin [14]

Answer:

28 non-blue marbles.

Step-by-step explanation:

Initial probability of choosing a blue marble = 4/12

Let the number of non-blue marbles to be added be x.

\frac{4}{12+x} =\frac{1}{10}

12+x=40 (cross multiply)

x=28

4 0
3 years ago
Can some help me please<br>​
Darina [25.2K]

Answer:

i cant see the first few

Step-by-step explanation:

4 0
2 years ago
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Can somebody please help me with this?
ser-zykov [4K]

Answer:

d fasho

Step-by-step explanation:

8 0
2 years ago
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