7. x=3 is the midpoint between the roots. The other root is x = 2*3 -(-5) = 11.
8a) f(x) = (x +3)^2 -49. The vertex is (-3, -49). The roots are -10, 4.
8b) y = (x+4)^2 -1. The vertex is (-4, -1). The roots are -5, -3.
8c) f(x) = 2(x +3)^2 -34. The vertex is (-3, -34). The roots are -3±√17.
Step 1: Factor

1. <span> Multiply 2 by -2, which is -4.</span>
2. <span>Ask: Which two numbers add up to -3 and multiply to -4?
</span>3. <span>Answer: 1 and -4
</span>4. Rewrite

as the sum of

and


Step 2: <span>Factor out common terms in the first two terms, then in the last two terms.
</span>

<span>
Step 3: </span>Factor out the common term


Step 4: Solve for

1. Ask: When will

equal zero?
2. Answer: When

or

3. <span>Solve each of the 2 equations above:
</span>

<span>
Step 5: </span>From the values of

<span>above, we have these 3 intervals to test.
x = < -1/2
-1/2 < x < 2
x > 2
Step 6: P</span><span>ick a test point for each interval
</span>For the interval

Lets pick

Then,

After simplifying, we get

, Which is false.
Drop this interval.
<span>
For this interval

Lets pick

. Then,

. After simplifying, we get

which is true. Keep this <span>interval.
For the interval </span>

Lets pick

Then,

After simplifying, we get

, Which is false. Drop this interval.
.Step 7: Therefore,

Done! :)</span>
Answer:
A 5.25, B 5.75, C 10.25, D 25.8125
Step-by-step explanation:
Answer:
54° and 110°
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°
(9)
19x - 26 + 7x - 2 = 180
26x - 28 = 180 ( add 28 to both sides )
26x = 208 ( divide both sides by 26 )
x = 8
Then
∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°
(10)
21x - 33 + 14x + 3 = 180
35x - 30 = 180 ( add 30 to both sides )
35x = 210 ( divide both sides by 35 )
x = 6
Then
∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°
The inscribed angle YVW is half the measure of its intercepted arc YW, so
arc YW = 2 × 87° = 174°, then
arc XW = 174° - 64° = 110°
For a rectangle area, use base x height, or length x width.
6 km long x 4 km wide = 24 km
The area of Jackson's orchard is 24 km
hope this helps
x = multiply