Answer:
y = x² - 8x + 18
Step-by-step explanation:
vertex form based on vertex of (4,2) and point (2,6)
y = a(x - 4)² + 2
find 'a':
6 = a(2 - 4)² + 2
6 = 4a + 2
4 = 4a
a = 1
Convert y = (x - 4)² + 2 to standard form:
y = x² - 4x - 4x + 16 + 2
y = x² - 8x + 18
Answer: 2/5 because when you multiply the numerator and denominator of 2/5 by 3, you get 6/15
Answer : 8x + 32
Explanation: you would distribute the 4 to the x and the 3 which would get you 4x + 12 +4(x+5) then u would distribute the other 4 to the x and 5 which would then get u to 4x + 12 + 4x + 20 then u would combine like terms so 4x + 4x and 12 + 20 and that would get you to 8x + 32
Answer:
-40
Explanation:
Given
u = 2i - j; v= -5i + 4j and w = j
Required
4u(v-w)
4u = 4(2i) = 8i
v - w = -5i + 4j - j
v - w = -5i + 3j
Substitute
4u(v-w)
= 8i(-5i+3j)
= -40(i*i) [since i*i = 1]
= -40
Hence the required solution is -40
The obvious answer to this would be 10.
The most simple way to do it would be taking out 3 x from each side of the equation and do 20 = 10 + _
Another way would be to actually solve it.
Let us put into the situation that the unknown variable would be y. The equation then would look like this.
3 x 20 = 3 x (10 + y)
Then solve
3 x 20 = 3 x (10 + y)
-------- ---------------
3 3
20 = 10 + y
20 - 10 = y
10 = y
10 would be the answer