1) You must add 4 to each side to complete the square.
2) You must add 16 to each side to complete the square.
3) You must add 27 to each side to complete the square.
Explanation:
1) x²-4x=0
To find the number that we add to both sides, we look at b, the cofficient of x. It is -4. We divide it by 2 and square it; -4/2 = -2; (-2)² = 4. This is the value that we add to both sides.
2) x²-8x=6
-8/2 = -4; (-4)²=16
We add 16 to each side to complete the square.
3) 3x²+18x=24
First we can factor a 3 out of the left side:
3(x²+6x) = 24
Our b value is now 6. 6/2 = 3; 3²=9. The 9 would, however, go in the parentheses, so it would be multiplied by 3, which makes 27; this means we would add 27 to both sides.
Answer:
Step-by-step explanation:
eq. of any line through (1,2) with slope m is
y-2=m(x-1)
if the line is parallel to x-axis then y=2
if the line is parallel to y-axis then x=1
Answer:
Table 2
Step-by-step explanation:
We have the tables:
<u>Table 1:</u>
x: 1 2 3 4
y: 2 4 6 8
<u>Table 2:</u>
x: 1 2 3 4
y: 2 4 8 16
<u>Table 3:</u>
x: 1 2 3 4
y: 2 4 7 11
<u>Table 4:</u>
x: 1 2 3 4
y: 2 4 6 10
An exponential growth data set will show a common ratio between y values. Let's look at each of the ratios from each table.
<u>Table 1:</u>
8/6 = 4/3
6/4 = 3/2
Already, we can see that 4/3 ≠ 3/2, which means that this doesn't have a common ratio. So Table 1 is wrong.
<u>Table 2:</u>
16/8 = 2
8/4 = 2
4/2 = 2
The common ratio here is 2, so we know this is correct.
<u>Table 3:</u>
11/7 = 1.57
7/4 = 1.75
Again, we can see that 1/57 ≠ 1.75, so this is wrong.
<u>Table 4:</u>
10/6 = 1.67
6/4 = 1.5
Again, there is no common ratio here, so this is wrong.
The answer is thus Table 2.
Answer:
Hi .. im happy to help
answer is 0.033
Step-by-step explanation:
P = C(4,4)÷C(10,4)
P = 1 ÷ 30
p = 0.033
