Angles 1 and 4 need to be congruent, as if they are equal then that means angles 2 and 3 are also equal :)
Given the function ![p(x)=x^2+4x-12.](https://tex.z-dn.net/?f=p%28x%29%3Dx%5E2%2B4x-12.)
Part A.
To write the expression that defines
you have to substitute x-6 instead of x into the function expression and then add 5 to the function:
![p(x-6)+5=((x-6)^2+4(x-6)+12)+5,\\\\p(x-6)+5=x^2-12x+36+4x-24+12+5,\\\\p(x-6)+5=x^2-8x+29.](https://tex.z-dn.net/?f=p%28x-6%29%2B5%3D%28%28x-6%29%5E2%2B4%28x-6%29%2B12%29%2B5%2C%5C%5C%5C%5Cp%28x-6%29%2B5%3Dx%5E2-12x%2B36%2B4x-24%2B12%2B5%2C%5C%5C%5C%5Cp%28x-6%29%2B5%3Dx%5E2-8x%2B29.)
Part B.
1 transformation is translation 6 units to the right (p(x-6) determines this transfromation).
2 transformation is translation 5 units up (+5 determines this transformation).
Answer:
the z score of 105 is 1.03
Step-by-step explanation:
Given that
the mean is 102
And, the standard deviation is 2.9
We need to find the z score of 105
As we know that
Z score = (Observed value - mean) ÷ standard deviation
= (105 - 102) ÷ 2.9
= 1.03
Hence, the z score of 105 is 1.03
The same would be considered and relevant
Answer:
The correct answer is 0.125.
Step-by-step explanation:
Anne has 8 unmarked computer disks in a box, namely one of English, Spanish, Mathematics, computer science, biology, SAT preparation, college applications, and American history.
Let the experiment be to pick up the SAT preparation disk from this set of 8 disk
Possible outcome is only one as there is only one SAT preparation disk.
Total number of outcomes, i.e. total number of disks available is 8.
Probability of picking of SAT preparation disk is
Probability =
=
.