Answer:
(x − 6i) (x + 6i)
Step-by-step explanation:
Using real numbers, x² + 36 is already simplified.
Using imaginary numbers:
x² + 36
x² − 36i²
(x − 6i) (x + 6i)
Answer:
x = 24.5
Step-by-step explanation:
There are two similar triangles. In similar triangles the sides are in proportion.
Let's name big triangle as triangle 1 and small triangle as triangle 2.
The sides of the big triangle:
27 as base and the longest side (x + 7)
The sides of the small triangle:
base = 27 - 6 = 21
longest side = x
We need to find the value of x using proportion.
27/21 = (x + 7)/ x
By cross multiplying, we get
27(x) = 21(x + 7)
27x = 21x + 147
27x - 21x = 147
6x = 147
Dividing both sides by 6, we get
x = 147/6
x = 24.5
The value of x = 24.5
Hope you will understand the concept.
Thank you.
<span>Exactly 8*pi - 16
Approximately 9.132741229
For this problem, we need to subtract the area of the square from the area of the circle. In order to get the area of the circle, we need to calculate its radius, which will be half of its diameter. And the diameter will be the length of the diagonal for the square. And since the area of the square is 16, that means that each side has a length of 4. And the Pythagorean theorem will allow us to easily calculate the diagonal. So:
sqrt(4^2 + 4^2) = sqrt(16 + 16) = sqrt(32) = 4*sqrt(2)
Therefore the radius of the circle is 2*sqrt(2).
And the area of the circle is pi*r^2 = pi*(2*sqrt(2)) = pi*8
So the area of the rest areas is exactly 8*pi - 16, or approximately 9.132741229</span>
Number of nickels plus number of dimes equals total number of coins
so
n + d = 40
then they tell us that "there are seven times as many dimes as there are nickels"
this translates to
d = 7n
we then plug that into our first equation
and get
n + 7n = 40
then we solve for n
add like terms
8n = 40
then divide both sides by 8
n = 40/8 = 5
therefore Jimmy has 5 nickels
Answer:
4 dogs :]
Step-by-step explanation:
1/8 brown dogs = 12 dogs
5/6 black dogs = 80 dogs
12 + 80 = 92
96 - 92 = 4
Therefore, 4 dogs are mixed colors.
Hope this helps, sorry if this is wrong! Have a great day! <)
