Answer:
(c)
Step-by-step explanation:
x^3+3 = x^6
hope it helped :)
Answer:
14
Step-by-step explanation:
<h2><u>Solve for x</u></h2>
<u />
this can be solved by square rooting 196

x = 14
<h3><u>the value for x is 14</u></h3>
Answer:
x=30° y=4
Step-by-step explanation:

cross multiple
5y=8(2.5)
5y=20
divide 5 by 20
and you should y=4
since the polygons are similar x should have the same degrees as the bigger polygon
Answer:


Step-by-step explanation:
Given



Required
Find P(A) and P(B)
We have that:
--- (1)
and
--- (2)
The equations become:
--- (1)

Collect like terms


Make P(A) the subject

--- (2)


Substitute: 
![[0.770 - P(B)] * P(B) = 0.144](https://tex.z-dn.net/?f=%5B0.770%20-%20P%28B%29%5D%20%2A%20P%28B%29%20%3D%200.144)
Open bracket

Represent P(B) with x

Rewrite as:

Expand

Factorize:
![x[x - 0.45] - 0.32[x - 0.45]= 0](https://tex.z-dn.net/?f=x%5Bx%20-%200.45%5D%20-%200.32%5Bx%20-%200.45%5D%3D%200)
Factor out x - 0.45
![[x - 0.32][x - 0.45]= 0](https://tex.z-dn.net/?f=%5Bx%20-%200.32%5D%5Bx%20-%200.45%5D%3D%200)
Split

Solve for x

Recall that:

So, we have:

Recall that:

So, we have:


Since:

Then:


Answer:

Step-by-step explanation:
<u>Solution 1:</u>
Notice the
coordinate of both points are equal, meaning both points are on a vertical line. The distance between two points on a vertical line is the absolute difference of their y-coordinates. The absolute difference between
and
is
.
<u>Solution 2:</u>
The distance between two points
and
is:

Plugging in given values, we have:
.