<span>10 < –2b or 2b + 3 > 11 represents 2 different sets of numbers.
</span><span>10 < –2b can be reduced by dividing both sides by -2; you must then reverse the direction of the < sign: -5 > b, which is the interval b < -5: (-infinity, -5).
</span>2b + 3 > 11 reduces to 2b > 8, which in turn reduces to b > 4: (4, infinity).
It may be helpful to graph these sets.
If you really do mean "<span>10 < –2b or 2b + 3 > 11," then the "solution" is made up of two sub-intervals: b < -5 and b > 4.
</span>
Write a number as prime factors means to write the number as a product of numbers, all of which are prime. We start by checking whether the number is divisible by prime numbers, starting from the smallest prime number,2.
let's divide 24 into its factors.
first, it's even, so it must divide by 2
24=2*12
12 is also even, so it must divide by 2:
24=2*12=2*2*6
6 is also even, so it must divide by 2:
24=2*12=2*2*6=2*2*2*3
3 is not even, but it's a prime number.
so the solution is
2*2*2*3
The formula for the volume of a cylinder is πr^2*h. If you plug in the numbers of the radius and the height. π10^2*8=800π meters^3.
Complete Question:
Kyle held a balloon 8 feet off the ground, straight above his head. Ava is standing 15 feet directly to the right of Kyle.
Write an equation using the Pythagorean Theorem to find the value of x.
How far are Ava's feet from the balloon?
Answer:
Ava's feet is 17ft away from the balloon
Step-by-step explanation:
Given
The attached image represents the scenario
Using Pythagoras theorem (from the attachment), we have:
Take square roots of both sides
