Please help !! thanks in advance :D
2 answers:
◆ A little manipulation of the diagram
( as shown in the attachment )
Once you're done with this simple manipulation and the labeling, we get the equation : OB² + BC² = OC²
• r² = ( r - 9 )² + 15²
Solve this trivial equation to get : r = 17
• Radius = 17 is your final answer .
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Hope this helps you :)
Answer:
<h2>a) 17</h2>Step-by-step explanation:
<em>Look at the picture.</em>
We have the right triangle (red). Use the Pythagorean theorem:
We have
Substitute:
<em>use (a - b)² = a² - 2ab + b²</em>
<em>subtract r² from both sides</em>
<em>subtract 306 from both sides</em>
<em>divide both sides by (-18)</em>
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Answer:
(0, -1)
Step-by-step explanation:
There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"
First, since both equations are equal to Y, we can set them equal to each other and solve for X
To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.
Since we still have a fraction, we shall do it one more time. This time we multiply by 3
Now, solve how you normally would.
9x = 6x
-6x
3x = 0
X = 0
Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!
Now solve which would lead to y = -1
You have your solution as
(X,Y)
(0,-1)
Hope this helps!
When taking square roots, you can't take square roots of negative roots of negative numbers. So, what will work for the domain of u(x) is what makes u(x) zero or more. We can make an inequality for that.
u(x) ≥ 0.
9x + 27 ≥ 0 by squaring both sides
9x ≥ -27
x ≥ -3
So the domain of the function is when x ≥ -3 is true.