Vertex form is
y=a(x-h)²+k
vertex is (h,k)
to solve
input the given vertex and then the given point, solve for a
vertex at (-2,2) and a point is (-4,-10)
y=a(x-(-2))²+2
y=a(x+2)²+2
put point (-4,-10)
-10=a(-4+2)²+2
-10=a(-2)²+2
-10=4a+2
-12=4a
-3=a
y=-3(x+2)²+2
Answer:
If this is a proof then here is the answer.
Angle ABD is Congruent to Angle CBD = Given
Angle BDA is Congruent to Angle BDC = Given
Angle ABD is Congruent to Angle CBD = Definition of Angle Bisector
Line Segment BD is Congruent to Line Segment BD = Reflexive Property
Line Segment AB is Congruent to Linge Segment CB = Angle-Side-Angle or ASA
Step-by-step explanation:
Lucky for you, I just learned this also ;)
Since you are given your first two directions, put them down as GIVEN in the proof.
Next, Since ABD and CBD are congruent angles, you can assume that it is an angle bisector since angle bisectors always bisect equally.
Then, (This one is obvious), since Line Segment BD shares a side with itself, it is equal by the Reflexive Property (EX: AB is congruent to AB).
Finally, Since there is two angles with a congruent side in the middle, you can confirm that it is equal by Angle-Side-Angle.
Hope this helped!
Answer:
140 ml
Step-by-step explanation:
Let x be the amount of water in Beaker X and y be the amount of water in Beaker Y.
<u>Then we get following equations:</u>
<u>First part</u>
- x - 50 = 3/7(y + 50)
- 7x -350 = 3y + 150
- 7x = 3y + 500
<u>Second part</u>
- x + 100 = 4(y - 100)
- x + 100 = 4y - 400
- x = 4y - 500
<u>Substitute x in first equation:</u>
- 7(4y - 500) = 3y + 500
- 28y - 3500 = 3y + 500
- 28y - 3y = 500 + 3500
- 25y = 4000
- y = 4000/25
- y = 160 ml
<u>Then finding x:</u>
- x = 4*160 - 500
- x = 640 - 500
- x = 140 ml
Initial amount of water in Beaker X is 140 ml, in Beaker Y is 160 ml
Answer:
the slope of this line is 0
hope it helps
Step-by-step explanation:
Is the horizontal line edging upward; that is, is it an increasing line? No, so its slope can't be positive. Is the horizontal line edging downward; that is, is it a decreasing line? No, so its slope can't be negative. What number is neither positive nor negative?
