Y=(x-h)^2+k where (h,k) is the vertex
So, equation of new parabola is:
y=(x+1)^2+7
Answer:
7/16
Step-by-step explanation:
Let the fraction be x/y
(x+5)/(y+5) = 4/7
7x + 35 = 4y + 20
7x + 15 = 4y
(x-1)/(y-1) = 2/5
5x - 5 = 2y - 2
2y = 5x - 3
7x + 15 = 2(5x - 3)
7x + 15 = 10x - 6
3x = 21
x = 7
2y = 5(7) - 3
2y = 32
y = 16
x/y = 7/16
Answer:
1. SSS
2. Q and S
3. 20
Step-by-step explanation:
1. SSS similarity: If the corresponding sides of two triangles are proportional, then the two triangles are similar.
Triangles NLM and WUV are similar by SSS similarity, because
2. Completed steps:
a) draw a circle with center at P and radius r
b) draw a circle with center at Q and radius r
c) using compass, measure the distance between two points of intersection of the first circle with angle rays
d) using point of intersection of the second circle with PQ as a center, draw the circle of radius equal to the distance from c) to get point S
Last step: connect points Q and S, line QS will be parallel to line r.
3. If lines MN and UT are parallel, then angles MUT and VMN are congruent; also angles UTN and MNV are congruent.
AA similarity: In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar .
By AA similarity, triangles VMN and VUT are similar, thus
<span>2/3x -4=-2
-------------------
Add 4 to each side
</span><span>2/3x-4+4</span>=-<span>2+<span>4
2/3x = 2
-----------------------------
Multiply each side by 3/2
(3/2) * (2/3x) = (3/2) * (2)
x = 3</span></span>
Supposing 2x-7 were a factor, then 7/2 would be a root. Use synth. div. to determine whether 7/2 actually is a root:
__________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------------------------------------
6 0 -4 10 0
Since the remainder is zero, 7/2 is a root and 2x - 7 is a factor.
You could check out the other possible factors in the same manner.