What is the focus of the parabola given by the equation y = x2 − 2x − 3?
y = x2 − 2x − 3
y = x2 − 2x − 3 -1 +1y = (x - 1)^2 - 4 h = 1 and k = - 4 and a = 1
Vertex (a, k) so it is (1,-4)
Now focus is
(1, -4 + 1/4) = (1,-3 3/4)
or
(1,-3.75)
Likely
There are six outcomes 1, 2, 3, 4, 5, and 6
Numbers less than 6, are 1, 2, 3, 4, and 5, so the chance to roll a number less than 6 is 5/6 which has a probability of likely as there are more chances to roll a number less than six
The complete question in the attached figure
we know that
The Exterior Angle Theorem establishes that t<span>he measure of an exterior angle of a triangle equals to the sum of the measures of the two remote interior angles of the triangle.
so
the answer is the option</span><span>
A. the remote interior angles</span>
Our current equation is:
-ax + 3b > 5
Our objective is to solve for x, so let's first get -ax by itself.
Subtract 3b from both sides.
-ax > -3b + 5
Now, we have -a multiplying x, so we need to perform the opposite order of operations (like previously shown with 3b).
Divide both sides by -a.
Remember to flip the inequality when multiplying or dividing by a negative.
x <_ (-3b + 5)/-a is your final answer.
I hope this helps!
<h3>I'll teach you how to solve (2w - 3)*(4w - 7)</h3>
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Apply FOIL method:
2w*4w+2w(-7)+(-3)*4w+(-3)(-7)
Apply minus/plus rules:
2*4ww-2*7w-3*4w+3*7
Simplify:
8w^2-26w+21
Your Answer Is 8w^2-26w+21
plz mark me as brainliest :)