Answer:
The correct option is (A) No real solution.
Step-by-step explanation:
The expression provided is a quadratic equation.
The roots of a quadratic equation are:
Here,
a = 8
b = -10
c = 15
The conditions to determine real and complex roots are:
- If
then the quadratic equation has two complex roots. - If
then the quadratic equation has two real roots.
Compute the value of 
as follows:
The equation has two complex roots.
Thus, the correct option is (A).
20 cylindrical container tim required
Answer:
See below.
Step-by-step explanation:
There are only two measurements necessary to fully identify a regular hexagonal prism: (1) length of one of its sides (s), and (2) its height (h). From these two measurements, the surface area as well as volume can be determined using the following formulas:
Hello!
To solve this, we will use a system of equations. We will have the numbers be represented by x, y, and z, where x will represent the first, y the second, and z the third.
x+y+z=54
z=2x
x=6+y
We know that x is equal to 6+y. We can plug this into the second equation to find z.
z=12+2y
Now we can plug these y values into the first equation to find y.
6+y+y+12+2y=54
18+4y=54
4y=36
y=9
Now we know the value of y. We can plug this into the equations to find the other values.
x=6+9
x=15
z=15(2)
z=30
Just to check, we will add them all up and see if they equal 64.
15+9+30=54
The first number is 15, the second is 9, and the third is 30.
I hope this helps!
Answer: n = 6
Step-by-step explanation:
First lets combine like terms
(3 + n) + 7 = 3 + (6 + 7)
10 + n = 16
Now let’s subtract 10 on each side to isolate x
N = 6
Now let’s check our work by inputting x just to make sure
(3 + 6) + 7 = 3 + (6 + 7)
9 + 7 = 3 + 13
16 = 16
So we are right!
