All categories

3 years ago

In right triangle ABC, where c is the hypotenuse, a = 6, c = 10, and b = x -2. Solve for x.

1 answer:

7 0

A^2+b^2=c^2

36+b^2=100

36+(x-2)^2=100

(x-2)^2=64

$\sqrt{ (x-2)^{2} }= \sqrt{64}$

|x-2|=8

Solve:

x-2=8 and x-2=-8

x=10 and x=-6

Distance/length cannot be negative so the answer is 10

10-2=8

The length of side b is 8 units

You might be interested in

<img src="https://tex.z-dn.net/?f=x%20%20%5Cdiv%203x%20-%202%20%3D%201%20%5Cdiv%203x%20-%204" id="TexFormula1" title="x \div 3x

Maurinko [17]

Hello from MrBillDoesMath!

Answer:

x = 1/2 (1 +\- i sqrt(23))

Discussion:

x \3x - 2 = (x/3)*x - 2 = (x^2)/3 - 2 (*)

1 \3x - 4 = (1/3)x - 4 (**)

(*) = (**) =>

(x^2)/3 -2 = (1/3)x - 4 => multiply both sides by 3

x^2 - 6 = x - 12 => subtract x from both sides

x^2 -x -6 = -12 => add 12 to both sides

x^2-x +6 = 0

Using the quadratic formula gives:

x = 1/2 (1 +\- i sqrt(23))

Thank you,

MrB

4 0

3 years ago

Find the missing coefficients y=ax^2-10x+c vertex :(-5,20)

Citrus2011 [14]

Remember, for $y=ax^2+bx+c$ the x value of the vertex is $\frac{-b}{2a}$

so
given
x value of vertex is -5
and
$y=ax^2-10x+c$
$\frac{-b}{2a}=\frac{-(-10)}{2a}=\frac{10}{2a}=$
$\frac{5}{a}=-5$
multiply both sides by a
5=-5a
divvide both sides by -5
-1=a
a=-1

$y=-1x^2-10x+c$
comlete the square
remember if we do
$y=a(x-h)^2+k$ (h,k) is the vertex
I know, we can subsitute the known values of te vertex
-5 for h and 20 for k then expand

$y=-1(x-(-5))^2+20$
$y=-1(x+5)^2+20$
$y=-1(x^2+10x+25)+20$
$y=-1x^2-10x-25+20$
$y=-1x^2-10x-5$

a=-1
c=-5

5 0

3 years ago

I attended a funeral once in Pickens county in my State.... They buried him in the midst of a marble quarry: they cut through so

UNO [17]

Answer:

Step-by-step explanation:

Now we have improved on that. We have got the biggest marble-cutting establishment on earth within a hundred yards of that grave. We have got a half-dozen woolen mills right around it, and iron mines, and iron furnaces, and iron factories. We are coming to meet you. We are going to take a noble revenge, as my friend, Mr. Carnegie, said last night, by invading every inch of your territory with iron, as you invaded ours twenty-nine years ago.

7 0

3 years ago

Read 2 more answers

Which expression is equivalent to 33.63.23 without exponents?

miskamm [114]

B)
3 x 3 x 3 x 6 x 6 x 6 x 2 x 2 x 2

7 0

3 years ago

The perimeter of a square is 18 meters(m). What is the length of each side?

Mashcka [7]

Answer:

4.5 meters