Answer:
9 is your answer for x.
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operations, & =
Parenthesis
Exponent (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 13 & 8x from both sides:
2x (-8x) + 13 (-13) = 8x (-8x) - 41 (-13)
2x - 8x = -41 - 13
Simplify. Combine like terms:
-6x = -54
Isolate the variable, x. Divide -6 from both sides:
(-6x)/-6 = (-54)/-6
x = (-54)/(-6)
x = 9
x = 9 is your answer.
~
Answer:
neither
Step-by-step explanation:
<em>Both statements are correct.</em>
If matrix 1 has dimensions (r1, c1) and matrix 2 has dimensions (r2, c2), their product can be formed if c1 = r2. The resulting product matrix will have dimensions (r1, c2).
The answer is 4.4102. We know the length of one side is 2.4 and the length of the other side is half of 7.4. If we use Pythagorean’s theorem to find the hypotenuse we get (7.4/2)^2 + 2.4^2 = X^2. By solving for x we get x= root( (7.4/2)^2 + 2.4^2). So x is approximately 4.41.
Answer:
max. height = 240
Step-by-step explanation:
Function should be h(t ) = - 16t² + 96t
find the zeros by solving h(t) = 0
- 16t² + 96t = 0 ( take out common factor - 16t )
- 16t(t - 6) = 0
equate each factor to zero and solve for t
- 16t = 0 ⇒ t = 0
t - 6 = 0 ⇒ t = 6
the maximum vertex is at the midpoint of the zeros
t = 
= 3
h(3) = (- 16 × 3) + (96 × 3) = - 48 + 288 = 240 ← max. height
The two white triangles have areas of 1/2 x 3 x 10 and 1/2 x 6 x 10 = 15 + 30 = 45 cm^2
The shaded area will be 10 x 10 - 45 = 55 cm^2
The percentage shaded = 55 / 100 x 100% = 55%
