Answer:
The volume of the prism is <em>864</em><em> </em><em>inches</em><em>^</em><em>3</em>.
Step-by-step explanation:
The basic formula for the volume of a prism is:
V = Ah
where:
V = Volume of prism
A = Area of uniform cross-section or base of prism = 96 inches^2
h = Perpendicular height of prism = 9 inches
Substitute the values given in the question into the formula.
V = 96 × 9
V = 864 inches^3
Step-by-step explanation:
We need to find an expression that is equivalent to 4×(8+3)
We know that,
4×(8+3) = 4(11) = 44
Option (1).
(4 • 8) + 3 = 32+3 = 35. It is incorrect
Option (2).
(8 + 3) • 4 = (11) 4 = 44. It is correct.
Option (3).
4 • (3 + 8) = 4(11) = 44. It is correct.
Option (4).
4 • 8 + 4 • 3 = 32+12 = 44. It is correct.
Hence, the correct options are (2), (3) and (4).
Step-by-step explanation:
Hey there!!!
Here,
Given, A line passes through point (2,-2) and is perpendicular to the y= 5x+2.
The equation of a straight line passing through point is,
Now, put all values.
It is the 1st equation.
Another equation is;
y = 5x +2........(2nd equation).
Now, Comparing it with y = mx + c, we get;
m2=5
As per the condition of perpendicular lines,
m1×m2= -1
m1 × 5 = -1
Therefore, m2= -1/5.
Keeping the value of m1 in 1st equation.
Simplify them.
Therefore the required equation is x+5y+8= 0.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
x = 4
Step-by-step explanation:
3x÷2=6
Multiply both sides by 2.
3x = 12
Divide by 3.
x = 4
Answer:
a_n = 2^(n - 1) 3^(3 - n)
Step-by-step explanation:
9,6,4,8/3,…
a1 = 3^2
a2 = 3 * 2
a3 = 2^2
As we can see, the 3 ^x is decreasing and the 2^ y is increasing
We need to play with the exponent in terms of n
Lets look at the exponent for the base of 2
a1 = 3^2 2^0
a2 = 3^1 2^1
a3 = 3^ 0 2^2
an = 3^ 2^(n-1)
I picked n-1 because that is where it starts 0
n = 1 (1-1) =0
n=2 (2-1) =1
n=3 (3-1) =2
Now we need to figure out the exponent for the 3 base
I will pick (3-n)
n =1 (3-1) =2
n =2 (3-2) =1
n=3 (3-3) =0
