Answer:
x=7.5
Step-by-step explanation:
To show that the triangles are similar, we simply need to show that all sides are proportionate.
So, we create a proportion
Then we plug in the values
and 
can be simplified to 
, so that is our ratio of similarity
then we know
Now solve
1. Cross multiply
2×(2x-5) = 22
2. Distribute
4x-8 = 22
4x=30
x=7.5
There is your answer, x=7.5
Hope this helped.
Answer:
D
Step-by-step explanation:
If C represents the number of children you aren't gonna want to multiple like how it shows in option b and you aren't gonna wanna subtract.
9514 1404 393
Answer:
x = 7 1/3
Step-by-step explanation:
The smaller triangle is 6/9 = 2/3 the size of the larger triangle, so the left side is ...
(x -2) = (2/3)(8)
3(x -2) = 16 . . . . . multiply by 3 to clear fractions
3x -6 = 16 . . . . . . eliminate parentheses
3x = 22 . . . . . . . . add 6; next divide by 3*
x = 22/3 = 7 1/3 . . . . . feet
_____
* Note that we multiplied by 3, then divided by 3. If you're comfortable working with fractions and/or mixed numbers, these steps are unnecessary. The answer is simply x = 2 + 16/3 = 22/3.
Answer:
B
Step-by-step explanation:
The domain is the set of x values for which the function is defined.
The range is the set of y values for which the function is defined.
Attached is the graph of the exponential function.
It is the basic graph of exponential function of y = 5^x which is shifted 6 units above (because of +6 at the end).
<em><u>Looking at the graph, the domain is the set of all x values.</u></em>
<em><u>The range is anything above 6.</u></em>
Correct answer is B.
Answer:
8sin(x)cos³(x)
Step-by-step explanation:
sin(4x) +2 sin(2x) = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=
= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=
= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)
