Step-by-step explanation:
factor 4 out of the variable terms, as this helps.
but my approach is simply to define the target and then calculate "backwards".
we want to find
(ax + b)² = a²x² + 2abx + b²
and now we compare with the original equation :
a²x² = 4x²
a² = 4
a = 2
2abx = 16x
2×2×bx = 16x
4b = 16
b = 4
b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.
so, our equation is
(2x + 4)² - 13 = 0
(2x + 4)² = 13
2x + 4 = sqrt(13)
2x = sqrt(13) - 4
x = sqrt(13)/2 - 2
650 Because if the student can do 65 words in 2 mins, you would have to do 20 divided by 2 and get 10 then times 10 by 65 which is 650 in 20 mins.
Answer:
B(1,0)
Step-by-step explanation:
The midpoint of (a,b) and (c,d) is ((a+c)/2,(c+d)/2)
Essentially, you just average the x and y values.
So, the average of -3 and b_x is -1.
The average of 4 and b_y is 2.
So x=1 and y=0
Answer:
5
Step-by-step explanation:
b − a
Let a = 2 and b = 7
7-2
5
Answer:
24
Step-by-step explanation:
Factorial is applicable only for natural numbers and 0.
0! =1 trivially.
FOr other numbers, factorial is defined as 1x2x...n
For example 1! = 1
2! = 1x2 = 2
and so on.
i.e. n! = product of all natural numbers from 1 to n
= 1x2x....n
Using the above
we have n =4
Natural numbers from 1 to 4 are 1,2,3,4
Find the product of these 4 natural numbers to get 4!
4! = 1x2x3x4 = 24
