Answer:
x^2+5x-14
Step-by-step explanation:
Using FOIL method, we get (x^2)+(-2x)+(7x)+(-14), which is just x^2+5x-14
FOIL = First, Outer, Inner, Last
y = - 3(x + 1 )² + 2
the equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here vertex = (- 1, 2), hence
y = a(x + 1)² + 2
to find a substitute (1, - 10) into the equation
- 10 = 4a + 2 ⇒ 4a = - 12 ⇒ a = - 3
y = - 3(x + 1)² + 2 ← in vertex form
The green and the red are similar because the angel measurements are the same and the sides on the green triangle are 1/2 of the red triangle
Perpendicular lines have a negative reciprocal to the original slope, so for example, the negative reciprocal of 1/3 is -3 and the negative reciprocal of -2 is 1/2. The negative reciprocal of -6 is 1/6, which is your answer. I hope this helps!
Answer:
Yes
Step-by-step explanation:
You can conclude that ΔGHI is congruent to ΔKJI, because you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K).
We also know that we have two congruent sides, since it provides the information that line GK bisects line HJ, meaning that they have been split evenly (they have been split, with even/same lengths).
<u><em>So now we have three congruent angles, and two congruent sides. This is enough to prove that ΔGHI is congruent to ΔKJI,</em></u>
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