Answer:
y = 2 (x + 3)² − 4
Step-by-step explanation:
y = 2x² + 12x + 14
First, factor the leading coefficient from the first two terms:
y = 2 (x² + 6x) + 14
Complete the square. Take half of 6, square it, then add and subtract.
(6/2)² = 3² = 9
y = 2 (x² + 6x + 9 − 9) + 14
Simplify:
y = 2 (x² + 6x + 9) − 2(9) + 14
y = 2 (x² + 6x + 9) − 18 + 14
y = 2 (x² + 6x + 9) − 4
Factor the perfect square.
y = 2 (x + 3)² − 4
*10
*100
*1,000
*10,000
Help please?
Answer:
1,000
I did it in my math wok and got it correct
B. 9×3 ⁄9×6
C. 27×1 ⁄27×2
D. 3×3×3⁄3×3×3×2
Answer:
3×3×3⁄3×3×3×2
Step-by-step explanation:
27 = 3×3×3
54 = 3×3×3×2
The prime factored form of 27⁄54 is thus;
3×3×3⁄3×3×3×2
Answer:
D= 3×3×3/2×3×3×3
Step-by-step explanation:
A prime factored form breaks the number into prime numbers that give the same value when multiplied
27= 3×3×3
54=2×3×3×3
To get the simplest form of a fraction you proceed with division.
=3×3×3 / 2×3×3×3.............................cancel 3 in the numerator and denominator
= 1/2
x^2=-36 (picture)
This equation is not possible. All numbers that are squared end up as positive. -6^2 still equals 36 as well as 6^2. Hope this helped!
Answer:
13 units
Step-by-step explanation:
Use the pythagorean theorem and find the hypotenuse.
a^2 + b^2 =c^2
Draw the triangle by connecting the dots so you can see the legs.
one leg is 8 units and one leg is 10 units
8^2 + 10^2 = c^2
64 +100= c^2
164 = c^2
Find the square root of 164 which is 12.8. Round to 13