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3 years ago

Help picture below problem 13

Mathematics

1 answer:

kirza4 [7]3 years ago

8 0

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

*look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

$?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12$

Thus the missing side length is 12 cm

Hope that helps!

You might be interested in

Describe the slope of the line Find the slope

Dmitry_Shevchenko [17]

Answer:

Question one: Zero slope
Question two: $m=\frac{0}{4}$

Step-by-step explanation:

Given the following questions:

Question one:

The following line is what you call a "zero slope." Zero slopes are lines that are neither decreasing or increasing and remain at a constant or just a straight line.

Question two:

Point A = (-2, -3) = (x1, y1)
Point B = (2, -3) = (x2, y2)

Using the formula for slope or rise over run we will solve and find the slope of this line.

$m=\frac{y2-y1}{x2-x1}$
$m=\frac{-3--3}{2--2} =\frac{0}{4}$
$m=\frac{0}{4}$

The slope of this line is "0/4."

Hope this helps.

8 0

2 years ago

You start at (5, -3). you move up 8 units. where do you end?

djyliett [7]

Answer:

(5,5)

Step-by-step explanation:

You draw a graph and put an x where (5, -3) is and then from that point, you go up by 8 units

7 0

3 years ago

The function f(x) = 2x2 + 3x + 5, when evaluated, gives a value of 19. What is the function’s input value?

goldenfox [79]

$f(x)=\quad 2{ x }^{ 2 }+3x+5$

Let's called the input 'z'

When we plug 'z' in the function we get ;

$f(z)=\quad 2{ z }^{ 2 }+3z+5$

And we know that, this is equal to 19, so ;

$2{ z }^{ 2 }+3z+5=\quad 19$

Let's rearrange the equation.

$2{ z }^{ 2 }+3z+5=\quad 19\\ \\ 2{ z }^{ 2 }+3z=\quad 19-5\\ \\ 2{ z }^{ 2 }+3z=\quad 14\\ \\ 2{ z }^{ 2 }+3z-14=\quad 0$

So we have a quadratic equation here.

We'll use this formula to solve it :

$\frac { -b\pm \sqrt { { b }^{ 2 }-4ac } }{ 2a }$

The formula is used in equation formed like this :

$a{ x }^{ 2 }+bx+c=0$

In our equation,

a=2 , b=3 and c=-14

Let's plug in the values in the formula to solve,

$a=2\quad b=3\quad c=-14\\ \\ \frac { -3\pm \sqrt { 9-(4\cdot 2\cdot -14) } }{ 4 } \\ \\ \frac { -3\pm \sqrt { 9-(-112) } }{ 4 } \\ \\ \frac { -3\pm \sqrt { 9+112 } }{ 4 } \\ \\ \frac { -3\pm \sqrt { 121 } }{ 4 } \\ \\ \frac { -3\pm 11 }{ 4 }$

So,

$z=\quad \frac { -3+11 }{ 4 } \quad ,\quad \frac { -3-11 }{ 4 } \\ \\ z=\quad \frac { 8 }{ 4 } \quad ,\quad \frac { -14 }{ 4 } \\ \\ z=\quad 2,\quad -\frac { 7 }{ 2 }$

So the input can be both, 2 and $-\frac{7}{2}$

8 0

4 years ago

Find the straight time pay if you earn $7.90 per hour and worked 37 hours.

S_A_V [24]

Answer: $292.30

Step-by-step explanation:

6 0

3 years ago

Can someone please help Me understand

amid [387]

Answer:

S(8, -8)

T(11, -8)

Step-by-step explanation:

(x, y) are your original position.

They want to to translate it by (x+1, y-4). What this means is you add 1 to your x coordinate, and subtract 4 to your y-coordinate.

S(7, -4) --> S(7+1, -4-4) = S(8, -8)

T(10, -4) --> T(10+1, -4-4) = T(11, -8)

You can do the other two on your own because I don't want to give all the answer to your quiz.

8 0

3 years ago