Answer:
it means, insperation is poetic not the Jose Asuncion
Step-by-step explanation:
There are like terms in this problem. It looks scary but if we combine our like terms it makes it a lot easier. Also, like terms are terms with the same variables that are at the same power.
So add 7a^2 and -3a^2
You'll get the following sum:
4a^2
Add -17a and 2a
You'll get the following sum:
-15a
So our new problem looks like this:
4a^2 - 15a = 0
Factor out the variable "a." Leaving you with this:
We can rewrite the problem like this:
4a^2 - 15a + 0 = 0
Now we can use the quadratic equation!
![\frac{-b \frac{+}{-} \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%20%5Cfrac%7B%2B%7D%7B-%7D%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20)
Where +/- is simply the add or divide symbol. Now let's plug in our numbers!
![\frac{-(-15) \frac{+}{-} \sqrt{(-15)^{2}-4*4*0} }{2*4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-%28-15%29%20%5Cfrac%7B%2B%7D%7B-%7D%20%5Csqrt%7B%28-15%29%5E%7B2%7D-4%2A4%2A0%7D%20%20%7D%7B2%2A4%7D%20)
Simplifying a bit you get the following function:
![\frac{15 \frac{+}{-} \sqrt{225} }{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B15%20%5Cfrac%7B%2B%7D%7B-%7D%20%20%5Csqrt%7B225%7D%20%7D%7B8%7D%20)
sqrt(225) = 15
15 + 15 = 30
30 / 8 = 15/4
15 - 15 = 0
0 / 8 = 0
Your two answers are:
15/4 and 0
Answer: The value of ∠CBD is 98°.
Step-by-step explanation:
Since we have given that
m∠CBD=4x+52∘
and
m∠ABC=8x−10∘
As we know that they are linear pairs.
As we know that a linear pair is a pair of adjacent angles when two lines get intersected by a line say BC.
So, Sum of linear pair is supplementary.
![\angle CBD+\angle ABC=180^\circ\\\\4x+52+8x-10=180^\circ\\\\12x+42=180^\circ\\\\12x=180^\circ-42^\circ\\\\12x=138^\circ\\\\x=\frac{138}{12}\\\\x=11.5^\circ](https://tex.z-dn.net/?f=%5Cangle%20CBD%2B%5Cangle%20ABC%3D180%5E%5Ccirc%5C%5C%5C%5C4x%2B52%2B8x-10%3D180%5E%5Ccirc%5C%5C%5C%5C12x%2B42%3D180%5E%5Ccirc%5C%5C%5C%5C12x%3D180%5E%5Ccirc-42%5E%5Ccirc%5C%5C%5C%5C12x%3D138%5E%5Ccirc%5C%5C%5C%5Cx%3D%5Cfrac%7B138%7D%7B12%7D%5C%5C%5C%5Cx%3D11.5%5E%5Ccirc)
So, m∠CBD = 4x+52=4(11.5)+52=98°
Hence, the value of ∠CBD is 98°.
Answer: The possible side lengths are either 16 inches or 20 inches
Step-by-step explanation: The aquarium is in the shape of a cube which suggests that, all dimensions (length, width and height) are equal.
If it can hold 4096 cubic inches of water, then the volume of water in it can be calculated as follows;
Volume = L x W x H
Knowing that all three dimensions are the same the formula can be re-written as;
Volume = L³
4096 = L³
Add the cube root sign to both sides of the equation
∛4096 = ∛L³
16 = L
Also if it can hold up to 8000 cubic inches of water, then the volume of water in it can be calculated as;
Volume = L³
8000 = L³
Add the cube root sign to both sides of the equation
∛8000 = ∛L³
20 = L
Therefore, if the aquarium can hold between 4096 and 8000 cubic inches of water, then the side lengths are either 16 inches or 20 inches
Answer:
3/2
Step-by-step explanation:
3/4 ×2
3/2
so the answer is 3/2. so you say 3/4×2 cause it is shared by two people