Answer:
-3
Step-by-step explanation:
The length of a segment is
sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)
sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)
sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)
Combine like terms
sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)
Square each side
( a-3)^2 + (2a -4) ^2) = 4 *(10)
FOIL the left side
a^2 -6a +9 + 4a^2 -16a +16 = 40
Combine like terms
5a^2 -22a +25 = 40
Subtract 40 from each side
5a^2 -22a -15 =0
Factor
(a - 5) (5 a + 3) = 0
Using the zero product property
a-5 =0 5a +3 = 0
a = 5 5a = -3
a=5 a = -3/5
The product of the terms is
5 * -3/5 = -3
Answer:
The maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.
Step-by-step explanation:
In order to solve this you need to create a system of equations, with two values that will create the answer we are looking for, the thing that we don't know here is how many of each are we buying so the number of silver magnetic spheres will be represented by "y" and the brass magnetic spheres will be represented by "x".
So we know that x+y=2000
That's our first equation, our second would be the expense, which would be
8x+16y=20,000
We now just solve for one of them
x=(2000-y)
8(2000-y)+16y=20,000
16,000-8y+16y=20,000
8y=4,000
y=500
So we know that the maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.
Answer:
False
Step-by-step explanation:
If we were to flip the solid on the left so its parallel to the solid on the right, we would be able to compare the two more easier.
We can see that the right solid has dimensions of:
L = 1 cm
W = 3 cm
H = 5 cm
The left solid has dimensions of:
L = 1
W = 2
H = 7
If we were to add these all up, they would not equal.
R: 1 + 3 + 5 = 9
L: 1 + 2 + 7 = 10
Answer:
Commutative
Step-by-step explanation:
2 + 4 = 4 + 2 as an example
So if it has to be simplified, there is only one answer if all of it is positive but it has a solution to do with minus numbers which is -2 (-x-2)
