Bu using Pythagoras theorem
(x^2)+(21)^2=(75)^2
Therefore. 5625-441=(x)^2
X^2=5184
Therefore x=72
Third side length=72 units
Before we calculate we can use some common sence thinknig to narrow down the choices. We know that Robert is gonig DOWN the hill, so it doesnt make sence that he woudl have a positive rate of change (i.e. the number feet up the hill he is is decreasing, not increasing) So right away, A & B are clearly wrong.
If we look at the last two (C & D) we can see that if -460 were right after 10 minutes he would have walked down 4,600 feet. This is WAY more that the total height of the hill and so can't be correct.
So C must be correct.
We can check this with some simple math:
Step-by-step explanation:
Discriminant : k² - 4(12)(27) < 0
So k² - 1296 < 0, -36 < k < 36.
Answer:
Option B is correct
The function h(x) = |x|
Step-by-step explanation:
Given the points (0, 0) , (-1 , 1) and (-2 , 2)
The absolute value of x i,e |x| will always gives the positive value of y
i.e y = |x|
For x = 0
y=|x| =|0| = 0
For x =-1
y= |-1| = 1
For x = -2
y = |x| = |-2| = 2
As you can see that for every value of x , we get the positive value of y;
therefore, the function which represents the condition is: y=h(x)=|x|
Hence, the given points lie on the graph of the function h(x) = |x|
Answer:
probability = 1/2
Step-by-step explanation:
Ok probability is the possibility of something happening.
So let's check the chance of $5 appearing according to how it appeared before.
4 envelopes are opened and 8 bills are inside . So total bills are 32 bills
Out of 24 bills 12 are 1$ bill
12 are $ 5 bill.
So it's a fifty fifty chance.
So the probability is 1/2