If you want to translate a point (x,y) to the left, you have to subtract the number of units (n) that you want to translate it from the original x coordinate, like this:
(x-u,y)
And if you want to translate a point (x,y) downwards, just subtract the number of units n you want to translate from the y coordinate, like this:
(x,y-n)
in this case, we have the point (-5,0) which image would be:
After a translation of 2 to the left
and with 1 unit down, this point would look like this:
(-5-2,0-1)=(-7,-1)
Answer:
x=12, y= 20
Step-by-step explanation:
We can find x using the pythagorean thereom because ABD is a right triangle.(D is the point between segments with legnth 5 and 11)
AC^2 + CD^2 = AD^2
x^2 + 5^2 = 13^2
x^2 = 25 = 169
x^2 = 144
x = 12
We may now find y using the pythagorean thereom because ABC is a right triangle. Right now we know x = 12
AC^2 + CB ^2 = AB^2
12^2 + 16^2 = y^2
144 + 256 = y^2
y^2 = 400
y= 20
<em>I hope this helps! :)</em>
50a + 20w is greater than or equal to 350
What we know:
quotient 9.2 x 10^6/ 2.3 x 10²
in quotients exponents are subtracted of they have the same base, for example 10^6 and 10² have the same base of 10
What we need to find: quotient 9.2 x 10^6/ 2.3 x 10²
9.2 x 10^6
-------------- = 4 x 10^4
2.3 x 10²
Here in this problem I divided 9.2 by 2.3 and got 4, since the solution was simple and clean meaning no repeated decimals I went ahead and divided the 10^6 by 10^2 and got 10^4.
Another method would be to expand both numbers then divide and do scientific notation again.
Remember to change to normal notation you move the decimal to the right using the number of the exponent.
9.2 x 10^6= 9200000
2.3 x 10²= 230
920000/230=40000
40000= 4 x 10^4 scientific notation
Use the method that is best for you or just know you can use either method to check your work.
Answer:
Mean = 30516.67
Standard deviation, s = 3996.55
P(x < 27000) = 0.0011518
Step-by-step explanation:
Given the data:
28500 35500 32600 36000 34000 25700 27500 29000 24600 31500 34500 26800
Mean, xbar = Σx / n = 366200 /12 = 30516.67
Standard deviation, s = [√Σ(x - xbar) / n-1]
Using calculator, s = 3996.55
The ZSCORE = (x - mean) / s/√n
Zscore = (27000 - 30516.67) / (3996.55/√12)
Zscore = - 3516.67 / 1153.7046
Zscore = - 3.048
P(x < 27000) = P(Z < - 3.049) = 0.0011518
