Ask question

Ask question

All categories

3 years ago

9

The Pythagorean Theorem, given by the formula a^2 + b^2 = c^2 , relates the three sides of a right triangle. Solve the formula f

or the positive value of a in terms of b and c.

1 answer:

taurus [48]3 years ago

3 0

Answer:

c=√a²b²

Step-by-step explanation:

You might be interested in

Solve the following system of equations: <br>y=2x + 1 <br>y = -x+4<br><br>x= ?<br>y=?

patriot [66]

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1, add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3

4 0

3 years ago

The amount of a person’s paycheck p varies directly with the number of hours worked t . For 10 hours of work, the paycheck is $5

sveticcg [70]

P = 5.75t
because 5.75 x 10 = 57.5

5 0

3 years ago

Read 2 more answers

Expand and combine like terms (3z^5 +7z^2)^2

AVprozaik [17]

Answer:

$\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }$

Step-by-step explanation:

Since it's a perfect square, we can simply use the formula:

$\displaystyle{(ax+by)^2 = a^2x^2+2abxy+b^2y^2}$

Given the perfect square expression $\displaystyle{(3z^5+7z^2)^2}$ . Apply perfect square formula:

$\displaystyle{(3z^5+7z^2)^2 = 3^2(z^5)^2+2(3)(7)(z^5)(z^2) + 7^2(z^2)^2 }$

Knowing laws of exponent is mandatory when it comes to algebra. Recall that:

$\displaystyle{(a^m)^n = a^{mn}}\\\\\displaystyle{a^m \cdot a^n = a^{m+n}}$

Apply laws of exponent to simplify the terms or expression:

$\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }$

Since there are no like-terms to do operation with (these terms have different degrees so they are not considered to be like-terms.) Therefore, the final answer is:

$\displaystyle{(3z^5+7z^2)^2 = 9z^{10}+42z^7 + 49z^4 }$

8 0

1 year ago

16 more than one third of a number w

GaryK [48]

If you are looking to turn it into an expression:

1/3w+16

or it could possibly be (if you are looking at inequalities):

1/3w<16

4 0

3 years ago

If a=7 and b+c=67, find a²+ab+ac

Stels [109]

Hope this will help..........

6 0

2 years ago

Read 2 more answers