Answer:
3(3a+4)
Step-by-step explanation:
3(3a+4)
use distributive property
9a+12
Answer:
△ABC and △DEF are similar by SAS Similarity Theorem.
Option (C) is correct .
Step-by-step explanation:
Definition of SAS Similarity property
Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .
In △ABC and △DEF


and


Thus

∠ABC = ∠DEF (As given in the figure )
Thus △ABC and △DEF are similar by SAS Similarity property .
Given:
The cost y (in dollars) of renting a segway for x hours is

To find:
The initial fee and the cost per hour.
Solution:
We have,
...(i)
The slope intercept form of a linear equation is
...(ii)
where, m is slope is b is y-intercept or initial value.
From (i) and (ii), we get

The value of m is 30, so the slope is 30. It means cost per hour is $30.
The value of b is 25, so y-intercept is 25. It means the initial fee is $25.
Let x and y be the two positive numbers. - Their product is 192: x * y = 192 equation 1
- the sum of the first plus twice the second is a minimum: x + 2y
<span>From the first equation, y = 192 / x.
Substitute that into the second equation:
</span>
x + 2y = x + 2(<span>192/x ) = x + 384/x
</span>f(x) is minimum when f'(x) = 0 and f"(x) > 0
f(x)= <span>x + 384/x
</span>
f(x) = 1-384/x^2
<span>1-384 / x^2 = 0
x^2-384 = 0
x^ 2= 354
x = radical 354 = 18.8 here i'm confused why the number is decimal
???/
</span>