When finding the domain of a square root, you have to know that it is impossible to get the square root of 0 or any negative number. since domain is possible x values this means that x cannot be 0 or any number less than 0. However, you can find the square root of the smallest most infinitely small number greater than 0. since an infinitely small number close to zero can not be written out, we must must say that the domain starts at 0 exclusive. exclusive is represented by an open or close parenthesis so in this case the domain starts with:
(0,
we can get the square root of any number larger than 0 up to infinity but infinity can never be reached so it is also exclusive. So so the ending of our domain would be:
,infinity)
So the answer if the square root is only over the x the answer is
(0, infinity)
But if the square root is over the x- 5 then this would brIng a smaller amount of possible x values. since anything under the square root sign has to be greater than 0, you can say that:
(x - 5) > 0
x > 5
Therefore the domain would start at 5 and the answer would be:
(5, infinity)
Answer:
6 feet
Step-by-step explanation:
Consider the right triangle formed by the wall, ladder and ground.
Let the distance the ladder is from the wall be d , then
Using Pythagoras' identity in the right triangle
The square on the hypotenuse ( ladder) is equal to the sum of the squares on the other 2 sides ( wall and d ), then
d² + 8² = 10²
d² + 64 = 100 ( subtract 64 from both sides )
d² = 36 ( take the square root of both sides )
d = 
= 6
That is the ladder is 6 feet away from the wall
If you look at the rectangle properly, you can see that the diagonal creates two triangles, and if we only focus on one triangle, we can see that the bad of the triangle is 7 and the perpendicular height is 4
Using Pythagorean theorem we can figure out the hypotenuse, or the diagonal
C squared is equal to a squared plus b squared
7^2+4^2 is 65
Square root of 65 is 8.1
The constant of proportionality based on the situation is 0.4
Step-by-step explanation:
Tanner cycled 8 miles in 20 minutes
We need to find the constant of proportionality based on the situation
1. The distance is proportion to the time, because the distance and
the time increased together
2. If the distance d and the time is t, then d ∝ t
3. The equation of the direct proportion is d = k t, where k is the
constant of proportionality
∵ d = k t
∵ d = 8 miles
∵ t = 20 minutes
- Substitute these values in the equation above
∴ 8 = k (20)
- Divide both sides by 20
∴ k = 0.4
The constant of proportionality based on the situation is 0.4
Learn more:
You can learn more about proportionality in brainly.com/question/10708697
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