Answer:
7% of 40 is 2.80
Step-by-step explanation:
0.07 x 40 = 2.8
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: 15
Step-by-step explanation:
We know that sin 75 degrees = 0.90659...
Now, to find cos: cos-1 (0.90659) = 15
So the answer is 15.
Answer:
The Product of Powers property allows you to rewrite
.
Step-by-step explanation:
We are given that,
The property allows us to write, 
It is required to know the corresponding property.
As, we see that,
<em>The expression involves the product of terms having same base resulting in the addition of the powers.</em>
So, we have that,
The corresponding property is 'Product of Powers'.
Hence, the complete statement is,
The Product of Powers property allows you to rewrite
.