(x – h)² + (y – k)²<span> = r</span>²
Fill in the numbers
(x – 7)²<span> + (y +3)</span>²<span> = 49</span>
Answer:
![2,25[-3 + x]](https://tex.z-dn.net/?f=2%2C25%5B-3%20%2B%20x%5D)
Step-by-step explanation:
The Greatest Common Divisor [GCD] is 2,25; you factor that out, leaving the remaining result inside the brackets.
I am joyous to assist you anytime.
-- He must have at least one of each color in the case, so the first 3 of the 5 marbles in the case are blue-green-black.
Now the rest of the collection consists of
4 blue
4 green
2 black
and there's space for 2 more marbles in the case.
So the question really asks: "In how many ways can 2 marbles
be selected from 4 blue ones, 4 green ones, and 2 black ones ?"
-- Well, there are 10 marbles all together.
So the first one chosen can be any one of the 10,
and for each of those,
the second one can be any one of the remaining 9 .
Total number of ways to pick 2 out of the 10 = (10 x 9) = 90 ways.
-- BUT ... there are not nearly that many different combinations
to wind up with in the case.
The first of the two picks can be any one of the 3 colors,
and for each of those,
the second pick can also be any one of the 3 colors.
So there are actually only 9 distinguishable ways (ways that
you can tell apart) to pick the last two marbles.
Answer:
The original function is f(m) = 5(1.07)^m, with the m as an exponent
part A) if the final length is 9.19, we can set f(m) = 9.19 and solve for m
plugging it into a calculator, I get m = ~8.99, so a bit less than 9. therefore, a reasonable domain might be all the m values 9 or below, or m ≤ 9
part B) the y-intercept of a function is the value of the independent variable when the dependent variable = 0. the two variables in your problem are height and number of months - which one do you think is the independent one, and which one is dependent? then re-interpret "value of the independent variable when the dependent variable = 0" in terms of the actual quantities that the variables represent
part C) average rate of change from m = 1 to m = 9
f(9)−f(1)9−1
evaluate, and think about what that represents in terms of height and number of months
Answer:
3/4 of a 6-ounce glass will be drunk by her in one hour.
Step-by-step explanation:
Given time = 2/3 of hour
= 2/3 (60) As hour = 60 mins
= 120/3
= 40 mins
Given quantity of water = 1/2 of 6-ounce
= 3 ounce
So,
In 40 mins, water intake is 3 ounce
In 1 min, water intake is 3/40
In 60 mins, water in take is (3/40)*60 = 4.5 ounce
Quantity of water intake in 60 mins:
4.5 ounce or 3/4 of 6-ounce glass
I hope it will help you.
