Answer:
48.
Step-by-step explanation:
First you multiply the number by itself as many times as the number of the exponent is. In this case you <u>multiply -3 to itself 6 times which makes -729</u>, <u>2 to the 6th power is 64</u>, <u>-3 to the 5th power is -243, and 2 to the 2nd power is 4.</u> Then you <u>multiply -729 by 64 which makes -46656</u> and <u>multiply -243 by 4 which makes -972</u>, and then <u>divide -972 from -46656</u> <em>which makes 48</em>.
Answer:
12
Step-by-step explanation:
The area of a triangle is calculated with the following formula:
(b: base, h: height (or legs))
We can use this formula to find the length of the other leg:
30 = multiply both sides with 2 to get rid of fraction
60 = b*h one of the leg's length is given as 5 so
60 = 5*h divide both sides by 5
12 = h is the length of the missing leg.
5 or 6 years. subtract 1200 from 10000until you get 2800
Probability of first getting a 3 = 4/52 = 1/13
The p(getting >2) = probability of getting one of the remaining 3's or 40 other cards ( Im taking the aces to be low value) = 43/51
Required probability = 1/13 * 43/51 = 43/663
If aces are counted high it will be 1/13 * 47/51 = 47/531
=
<h3>
Answer: B) y = -x</h3>
==============================================
Work Shown:
g(x) = x^2-2
g(-2) = (-2)^2-2
g(-2) = 2
Saying (-2, g(-2)) is the same as saying (-2, 2)
---------------
g(x) = x^2-2
g(1) = 1^2 - 2
g(1) = -1
Saying (1, g(1)) is the same as saying (1, -1)
---------------
Let's find the slope of the line through (-2,2) and (1,-1)
m = (y2 - y1)/(x2 - x1)
m = (-1-2)/(1-(-2))
m = (-1-2)/(1+2)
m = -3/3
m = -1
Now turn to point slope form to find the equation
y - y1 = m(x - x1)
y - 2 = -1(x - (-2))
y - 2 = -(x + 2)
y - 2 = -x - 2
y-2+2 = -x-2+2 ... add 2 to both sides
y = -x
You could use the other point (1,-1) and you'd get the same answer. The slope m = -1 is the same each time.
