Answer:
(5/2,5)
Step-by-step explanation:
The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k can be written as,
![xy=k\\\\(7) \times (3 ) =k\\\\k= 21](https://tex.z-dn.net/?f=xy%3Dk%5C%5C%5C%5C%287%29%20%5Ctimes%20%283%20%29%20%3Dk%5C%5C%5C%5Ck%3D%2021)
Hence, the value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.
Learn more about Equation:
brainly.com/question/2263981
Answer:
The height of the building is ![73.2\ ft](https://tex.z-dn.net/?f=73.2%5C%20ft)
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
![tan(38\°)=\frac{BC}{AB}](https://tex.z-dn.net/?f=tan%2838%5C%C2%B0%29%3D%5Cfrac%7BBC%7D%7BAB%7D)
we have
![AB=63\ ft](https://tex.z-dn.net/?f=AB%3D63%5C%20ft)
substitute and solve for BC
![tan(38\°)=\frac{BC}{63}](https://tex.z-dn.net/?f=tan%2838%5C%C2%B0%29%3D%5Cfrac%7BBC%7D%7B63%7D)
![BC=(63)tan(38\°)=49.2\ ft](https://tex.z-dn.net/?f=BC%3D%2863%29tan%2838%5C%C2%B0%29%3D49.2%5C%20ft)
Find the height of the building
The height of the building (h) is equal to
![h=BC+24=49.2+24=73.2\ ft](https://tex.z-dn.net/?f=h%3DBC%2B24%3D49.2%2B24%3D73.2%5C%20ft)
Using order of operations, we can see we should first solve for the exponents, and then multiply the exponent values by each other.
3²×
![3^{5}](https://tex.z-dn.net/?f=%203%5E%7B5%7D%20)
9×243
2187
Another way to solve this is to add the exponents together and simply do
![3^{7}](https://tex.z-dn.net/?f=%203%5E%7B7%7D%20)
. We can only do that in this case, however, because the values are being multiplied by each other.
Either way we solve, we will get
2187 as our final answer.
Answer:
B
Step-by-step explanation:
It is linear and increasing.
If it is linear, it is increasing at a constant rate with a straight line.
Exponential means it is a curved line and would have an equation like f(x)=5^x
If it was decreasing, it would have a negative slope, such as -2x +10