Answer:
Step-by-step explanation:
answer would be
x = -3 + Square root of 6 divided by 3
or
x = - (3 + square root of 6) divided by 3
Solve with the quadratic formula
Answer:
C
Step-by-step explanation:
Two pyramids are similar. It means that their side lengths are proportional.
So, let's see the proportionality constant from SMALL PYRAMID to LARGE PYRAMID.
The corresponding length of 8 in small pyramid is 24 in large pyramid. We ask ourself: "8 times WHAT gives us 24?"
This is the proportionality constant (aka "k").
So, 8 times "3" is 24. So the proportionality constant is "3".
k = 3
Now, the height of small pyramid is 6 and height of large pyramid is "x". These sides will be same way proportional. So, we can say:
6 times the proportionality constant (3) would give us x
So,
6 * 3 = x
x = 18
Correct answer is C
Answer: Answer is x = 5, y = -3
(5, -3)
Step-by-step explanation: The instruction is to use the substitution method, and from the first equation,
y = x - 8
This means we replace the value of y in the second equation with x - 8. Hence;
2x + 3y = 1 can now be re-written as
2x + 3(x - 8) = 1
2x + 3x - 24) = 1
5x - 24 = 1
Add 24 to both sides of the equation
5x -24 + 24 = 1 + 24
5x = 25
Divide both sides of the equation by 5
x = 5
Having calculated x as 5, we can now substitute for the value of x in the first equation
y = x - 8 now becomes
y = 5 -8
y = -3
Answer:
No solution.
Step-by-step explanation:
So we have the system of equations:
![x=5-2y\\4y=15-2x](https://tex.z-dn.net/?f=x%3D5-2y%5C%5C4y%3D15-2x)
We can solve this by substitution. Substitute the first equation into the second. Thus:
![4y=15-2(5-2y)](https://tex.z-dn.net/?f=4y%3D15-2%285-2y%29)
Distribute the right:
![4y=15-10+4y](https://tex.z-dn.net/?f=4y%3D15-10%2B4y)
Subtract 4y from both sides:
![0=15-10](https://tex.z-dn.net/?f=0%3D15-10)
Subtract the right:
![0=5](https://tex.z-dn.net/?f=0%3D5)
As you can see, this statement is not true. In other words, the system of equations have no solution (likely because the lines are parallel).
And we're done!
Both diameter and height are scaled by 2.5.
Area is measured in squared units ( square centimetres).
Square the scale factor:
2.5^2 = 6.25
Multiply the area of the smaller vase by the scale:
2826 x 6.25 = 17,662.5 square cm.