Answer:
x = -11
m<B = -43
m<C = -22
Step-by-step explanation:
To solve for <em>x</em>, solve (3x-10) + (2x) + 65 to get 5x+55. Simplify to 5x = -55. This can simplify further to x = -11. Insert -11 as x into the angles.
I hope this is correct and helps!
Answer:
Completing the square the equation that would be used to solve 0=-x^2+10x-8 is (x-5)^2=17 (Second option).
Step-by-step explanation:
0=-x^2+10x-8
Moving the terms with the variable x to the left side of the equation:
0+x^2-10x=-x^2+10x-8+x^2+10x
x^2-10x=-8
Adding both sides of the equation the square of the half of the coefficient of "x" to complete the square on the left side of the equation:
x^2-10x+(10/2)^2=-8+(10/2)^2
x^2-10x+(5)^2=-8+(5)^2
x^2-10x+25=-8+25
x^2-10x+25=17 (1)
Using that (x-a)^2=x^2-2ax+a^2 with
2a=10→2a/2=10/2→a=5
or a^2=25→sqrt(a^2)=sqrt(25)→a=5
x^2-10x+25=(x-5)^2
Then replacing x^2-10x+25 by (x-5)^2 in the equation (1)
(1) (x-5)^2=17
Area, A = pi (r^2)
To find rate of change, we differentiate area with respect to the radius,
rate of change = dA/dr = 2 pi (r)
At r=11, rate of change = 2 pi (r) = 2 pi (11) = 22 pi = 69.1
Answer:
6.61=6.610
Step-by-step explanation:
6.61=6.610
After point we can increase no. Of zero.
The given function 8x^2+8x-22 rewritten using the completing the square method is (x+1/2)^2 = 3
<h3>Completing the square method</h3>
By altering the equation's form so that the left side is a perfect square trinomial, a quadratic equation can be solved using the "Completing the Square" approach.
Given the quadratic equation below;
8x^2+8x-22 = 0
This can be simplified into the equation below;
8x^2+8x-22 = 0
4x^2+4x-11 = 0
Add 11 to both sides of the equation
4x^2+4x-11 + 11= 0 + 11
4x^2+4x = 11
Factor out 4x from the expression;
4(x^2+1) = 11
(x+1/2)^2 = 11/4 + 1/4
(x+1/2)^2 = 12/4
(x+1/2)^2 = 3
Hence the expression in the form of (x-p)^2=q is (x+1/2)^2 = 3
Learn more on completing the square here: brainly.com/question/13981588
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