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4 years ago

Use the Pythagorean theorem to find b. b, 13, 12 b =

2 answers:

4 0

$\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{12}\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{13^2-12^2}=b\implies \sqrt{25}=b\implies 5=b$

liubo4ka [24]4 years ago

4 0

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

13 is the hypotenuse because it is the longest side.

12^2 + b^2 = 13^2

144 + b^2 = 169

subtract the 144 from both sides to isolate the variable you are solving for

b^2 = 25

Square root both sides to solve

b = 5

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I need help finding the y-intercept of these, I am no good with slope and tables. ;-;

zubka84 [21]

Answer:

1. -4

2. 6

3. -6

(i hope this is right •_•)

Step-by-step explanation:

First table

When the x coordinate is 0, that point is your y intercept. For the first one, your y intercept is -4.

Second table

For the second one, we need to do a bit of counting. We can see the x coordinates go before and after zero, but the table does not show us 0. So, we're going to have to calculate the slope. Bear with me here, I'm a little tired and this might be rambling ;-;

So, the formula for calculating slope is $\frac{y_{2} -y_{1}}{x_{2}-x_{1}}$ . I'm going to use those first two points to get my slope. We're going to say the first point is point 1 and the second point is point 2 (genius, i know lol). So, let's substitute in the x and y values.

$\frac{9-12}{-3-(-6)}$

And simplify...

$\frac{-3}{3}$

So, your slope is -1. We can use that. We just have to count down.

If the x is -2, the y is 8. If the x is -1, the y is 7. And if the x is 0....(drumroll please) the y is 6! So, your y intercept is 6.

Third table

Now, this table isn't very nice either and doesn't have an x as 0 for us. Hmpf. But we can still do what we did above. I'll just skip the explanation and you can observe my steps.

$\frac{-3-(-5)}{9-3}$

$\frac{2}{6}$

$\frac{1}{3}$

Let's count down....

If x = 3, y = -5

If x = 2, y = -5 1/3

If x = 1, y = -5 2/3

If x = 0, y = -6

8 0

3 years ago

What is the area of the composite figure? (6π + 10) m2 (10π + 10) m2 (12π + 10) m2 (16π + 10) m2

krek1111 [17]

The answer is the first choice

5 0

3 years ago

Read 2 more answers

Find m angle QSRIf m angle TSQ=15x , m angle TSR=173^ , and m angle QSR=10x-2

Serggg [28]

${\color{red}{\huge{\underbrace{\overbrace{\mathfrak{\:\:\:\:\:\:\:꧁"Answer"꧂\:\:\: }}}}}}$

$\small\color{blak}{{\underline{\bold{ Find \:a X } } } }$

$\small\color{black}{{\underline{\bold{173°=15z+10x-2 } } } } \\ = 173 = 25x - 2 \\ = - 25x = - 2 - 173 \\ = - 25x - 175 \\ = \small\color{blue}{{{\boxed{\tt\red{} \:\:\:\:\:\:\:\:\:\: x=7\:\:\:\: }}}}$

$\small\color{blak}{{\underline{\bold{ Find\:a\:m$

$\small\color{blak}{{\underline{\bold{ 10(7)-2 } } } }\\=70-2\\=\small\color{red}{{{\boxed{\tt\red{} \:\:\:\:\:\:\:\:\:\: m$

$\Large\color{red}{{\underline{\mathfrak {{꧁"Carry\:on\: learning"꧂ }}}}}$

7 0

3 years ago

When Henry surveyed 45 seventh-grade students at random in the school cafeteria, he found that 3 out of 15 liked reggae music. U

xxMikexx [17]

3 x
---------= --------- ---------
15 180

15x=540
----- ------= 36 students.
15 15

Steps: Cross multiply to get 15x and 540. Divide both numbers by 15, then you found what x equals, which is the answer.

4 0

3 years ago

Using your own words or illustrations, explain the addition rule for equations. (in other words, don't just restate the rule wor

Dmitriy789 [7]

Step-by-step explanation:

This rule states that the same value can be added to both sides of an equation without interfering with the solving process of the equation

4 0

3 years ago