Answer:
Step-by-step explanation:
7.50x + 6y ≤ 92. AND. x + y ≥ 20
Answer:
15.92
Step-by-step explanation:
50 ÷ 3.14 = 15.92
Answer:
3
Step-by-step explanation:
please remember when dividing letters or numbers of the same base then their exponents will be minused.
Answer:
18 units
Step-by-step explanation:
So let's list out the sides.
for the first square let's just call them x
for the second square then they would be x+5 and x-3
So let's write out their areas we will cal the area of the first one z
x*x = z
(x+5)*(x-3) = z+21
since z = x^2 we can set up the second equation as a quadratic.
(x+5)*(x-3) = x^2 + 21
x^2 - 3x + 5x - 15 = x^2 + 21
But look, the x^2s cancel out
2x - 15 = 21
2x = 36
x = 18
Test it out and see if it fits the description, And if you don't understand anything just let me know so I can explain more.
We have been given that the inverse variation
shows the relationship between wavelength in meters, x, and frequency, y. We are asked to find the wavelength for radio waves with frequency
.
To find the required wavelength, we substitute
in our given equation and solve for x as:
![3\times 10^9=\frac{3\times 10^8}{x}](https://tex.z-dn.net/?f=3%5Ctimes%2010%5E9%3D%5Cfrac%7B3%5Ctimes%2010%5E8%7D%7Bx%7D)
![x=\frac{3\times 10^8}{3\times 10^9}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%5Ctimes%2010%5E8%7D%7B3%5Ctimes%2010%5E9%7D)
We can see that both numerator and denominator has 3, so we can cancel it out.
![x=\frac{1\times 10^8}{1\times 10^9}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%5Ctimes%2010%5E8%7D%7B1%5Ctimes%2010%5E9%7D)
Using quotient rule of exponents
, we will get:
![x=1\times 10^{8-9}](https://tex.z-dn.net/?f=x%3D1%5Ctimes%2010%5E%7B8-9%7D)
![x=1\times 10^{-1}](https://tex.z-dn.net/?f=x%3D1%5Ctimes%2010%5E%7B-1%7D)
Therefore, the wavelength for radio waves would be
meters and option B is the correct choice.