All categories

3 years ago

Use the drop-down menus to complete the proof of the Pythagorean Theorem using the

Mathematics

1 answer:

Softa [21]3 years ago

5 0

Answer:

Step-by-step explanation:

Equal to

c^2

a^2+b^2

a^2+b^2=c^2

You might be interested in

3 1/2-2/3 help plz its fraction and Idgaf to understand xd

Hatshy [7]

Answer:

2 5/6

Step-by-step explanation:

WE CHANGE 3 1/2 INTO IMPROPER FRACTION WHICH IS 7/2

7/2-2/3=2 5/6

8 0

3 years ago

Read 2 more answers

What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?

Mnenie [13.5K]

Answer: Last option.

Step-by-step explanation:

Given the equation:

$\frac{3}{m+3}-\frac{m}{3-m}=\frac{m^2+9}{m^2-9}$

Follow these steps to solve it:

- Subtract the fractions on the left side of the equation:

$\frac{3(3-m)-m(m+3)}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{9-3m-m^2-3m}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}$

- Using the Difference of squares formula ( $a^2-b^2=(a+b)(a-b)$ ) we can simplify the denominator of the right side of the equation:

$\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{(m+3)(m-3)}$

- Multiply both sides of the equation by $(m+3)(3-m)$ and simplify:

$\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}$

- Multiply both sides by $m-3$ :

$(-m^2-6m+9)(m-3)=\frac{(m^2+9)(3-m)(m-3)}{(m-3)}\\\\(-m^2-6m+9)(m-3)=(m^2+9)(3-m)$

- Apply Distributive property and simplify:

$(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0$

- Divide both sides of the equation by -6:

$\frac{-6m^2+36m-54}{-6}=\frac{0}{-6}\\\\m^2-6m+9=0$

- Factor the equation and solve for "m":

$(m-3)^2=0\\\\m=3$

In order to verify it, you must substitute $m=3$ into the equation and solve it:

$\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}$

<em>NO SOLUTION</em>

7 0

3 years ago

A marathon runner runs at 7.6 mph for three and a half hours.<br> How many miles has he run?

GalinKa [24]

Answer:

26.6 miles

Step-by-step explanation:

distance = speed × time ( time is in hours )

= 7.6 × 3.5

= 26.6 miles

5 0

3 years ago

Using the expressions above, find the cost to the family of each company's phone plan if:

BabaBlast [244]

Answer:

company B

Step-by-step explanation:

the company is good!

6 0

3 years ago

Find the erea of the trapezoid.<br> show work for brainliest

Alexandra [31]

Answer:

the area of the trapezoid is 32

Step-by-step explanation:

a (base)2

b (Base)6

h (height)8

6 0

2 years ago