<em>Answer:</em>
<em> You need to do 1x to the 3rd power and then do the x with the division sign on a calculator. After those two steps divide the answer for 1x to the 3rd power by the x with the division sign. Then the answer that you get will most likely be the answer for a. </em>
Answer:
Correct answer is: D) a₆ = - 11
Step-by-step explanation:
Given:
a₁ = 9 and aₙ = aₙ₋₁ - 4
We know it is
a₆ = a₅ + d also it is given a₆ = a₅ - 4
When we equate the right sides of equality we get:
a₅ + d = a₅ - 4 => d = - 4
We also know it is a₆ = a₁ + 5 d
Now we will find a₆
a₆ = 9 + 5 (-4) = 9 - 20 = - 11
a₆ = - 11
God with you!!!
Step-by-step explanation:
well, the starting equation and the target format have been given.
let's do the multiplications and compare the target with the starting information.
from there we see what is different or missing.
x² + 14x + 13 = 0
and
(x - p)² = q
x² - 2px + p² = q
x² - 2px + (p² - q) = 0
now let's compare the different parts :
x² = x²
-2px = 14x
-2p = 14
p = -7
p² - q = 13
-7² - q = 13
49 - q = 13
36 - q = 0
q = 36
so, the square (x - p)² = (x + 7)² is completed when
x² + 14x + 49 = 0
but we have only "+ 13". so we need to add 36 to get 49. but we need to do it on both sides, to keep the equation true :
x² + 14x + 13 + 36 = 36
x² + 14x + 49 = 36
(x + 7)² = 36
just as we calculated already above.
and now this can be solved by pulling the square root on both sides (a quadratic equation has always 2 solutions)
x + 7 = ±6
x1 = 6 - 7 = -1
x2 = -6 - 7 = -13
Answer:right
Step-by-step explanation:
Answer:
Since we have BC ║ DE, we know that:
AB/AD = BC/DE
12/(12 + 4) = BC/12
12/16 = BC/12
BC = (12 · 12)/16 = 9 (in)
Applying the pythagorean, we have:
AB² + BC² = AC²
12² + 9² = AC²
225 = AC²
AC = √225 = 15 (in)
Using the information about the parallel lines again, we have:
AC/CE = AB/BD
15/CE = 12/4
CE = (15 · 4)/12 = 5 (in)
So the answer is B