Answer:
The last expression is correct
Step-by-step explanation:
We have been given the following expression for simplification;
The bases of the two expressions are the same. They are both equal to 4. When multiplying numbers with the same base, we simply add their exponents. In this case our exponents are;
4 and -9
adding them we have;
4 + (-9) = -5
The simplified expression thus becomes;
Answer:
Base = 8
Step-by-step explanation:
Area of a triangle can be calculated as:
Area = 0.5 x Base x Height
The values of the area and the height are given in order to find the length.
A= 52 in^2
Height= 13
First we have to find the base or the length. Using the values above we can set up the equation as:
1. 52= (0.5)(13)(b)
2. 52/0.5(13)
3. b=8
Answer: The length of the guitar or the base would be 8 inches.
I hope this helps and for future problems regarding this topic use the formula above!!
Formula: 0.5 x Base x Height
Answer:
15 ft
Step-by-step explanation:
Hi, the illustration for the problem is a right triangle with:
hypotenuse (C)= the length of the ladder = L
horizontal side(A) = distance from bottom of the ladder to the building = L - 6
vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3
So, we can use Pythagoras formula:
A2 +B2= C2
(L – 6 )² + (L-3)² = L²
L²-12L+36+L²-6L+9 =L²
L2 -18L+45 =0
APPLYING QUADRATIC FORMULA WE OBTAIN:
L =15 OR L=3
If L=3
Vertical side = L-3 = 0 (Length can´t be 0)
So L=15
Answer: lalalallalalalalal
Step-by-step explanation:
Answer:
Average rate of change=-3
Step-by-step explanation:
The average rate of change is given by the relation between the values of f(x) and x, in two different points as follows:
In this case, 
Therefore,
