2x-2>8
2x>10
x = 10/2 = 5
x>5
since it is an absolute equation
it could also be x<-3
answer is x>5 or x<-3
Answer:
2 (x + 3)^2 - 2
Step-by-step explanation:
1. Factor the 2 out of the equation (don't forget about it - it will be used later). This gives you x^2 + 6x + 7
2. Subtract the 7 over. This gives you x^2 + 6x = -7
3. Take b (6), divide it by 2 (3), and square it (9). Then add that to both sides of the equation. This gives you x^2 + 6x + 9 = 2
4. Factor the left side of the equation. This gives you (x + 3)^2 = 2
5. Subtract the 2 over. This gives you (x + 3)^2 - 2
6. Remember that 2 we factored out of the equation earlier? Well that goes in front of the parentheses now, giving you the final answer of 2 (x + 3)^2 -2
Answer:
Step-by-step explanation:
- 3(8+9) = Parenthesis
- 3(17) = Multiplication
- 51
A
]
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D | B
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C
Let ABCD be this parallelogram
AB + BC + CD + DA = 50, but AD = BC and AB = DC, Then:
2.AD + 2.AB = 50 and :
AD+AB = 25 . We also know that AB+1 = AD (Given), then:
AD + (AD+1) = 25
2.AD = 24
AD = 12, THEN AB = 12+1=13
Calculate DB the diagonal perpendicular to AD, using Pythagoras:
AD² + DB² = AB²
12² +DB² = 13²
DB² = 13² - 12² = 25
AND DB= 5
Answer:
D 200 and 2
Step-by-step explanation:
standard error of the sampling distribution of sample mean is expressed using the formula;
Standard error of the mean = S/√n where;
S is the standard deviation
n is the sample size
Given
S = 18
n = 81
SEM = 18/√81
SEM = 18/9
SEM = 2
The mean of the distribution according to the question is 200.
Hence the mean and the standard error of the sampling distribution of sample mean are 200 and 2 respectively.
