Answer:
x=-2.5,9
Step-by-step explanation:
Set them equal to each other to say 2x^2-9x=4x+45. Get them all on one side to get 2x^2-13x-45. Factor that out to get (x+2.5)(x-9). Set that equal to 0 to get x=-2.5,9
Answer: The line is AB and the plane is ABD, the first option is the correct one.
Step-by-step explanation:
Ok, first some definitions.
A line is any line that crosses two colinear points. Particularly, you can see in the graph that the line crosses through A and B, so the line is AB.
A plane needs 3 non-colinear points (if the points where colinear, then the points may define a line). Other definition of plane is "a line and a point that is not in the line"
So, if our line is AB, then the possible planes are:
ABC and ABD.
then the correct option is:
Line AB and plane ABD, so the correct option is the first one.
Answer:
☑ Answer is 6
Step-by-step explanation:

» But this is a ratio, so it can be expressed in terms of fractions:

» Divide both the denominator and numerator by 9:

we know that
In the right triangle ABC
∠
∠
------> by complementary angles
so
Step 
Find the measure of angle B
we know that

in this problem

so

Step 
Find the measure of angle A

therefore
the answer is the option
35.5° and 54.5°
Answer:
$8,029.91
Step-by-step explanation:
You have to use the exponential growth equation:
A=P(1+r)^t
Where A is the final amount, P is the initial amount, r is the rate of increase, and t is the time in years. So:
A=6,600(1+0.04)^5
(The rate has to be changed into a decimal)
Then, just plug this equation into a calculator (without the A= part, so just 6,600(1+0.04)^5) and you'll get the answer.