Answer:
y = 8 + 4x / 2
Step-by-step explanation:
Hello there! :D
Find the scale of the sides.
40/5=8 (the longer side is 8 times bigger than the shorter one)
3*8= 24
2x+10=24
Subtract 10 on both sides.
2x=14
Divide by two on both sides.
x=7
I hope this helps!
~kaikers
The quadratic function f(x) = 2x² – 44x + 185 is written in vertex form is f(x) = 2(x – 11)² – 57.
<h3>What is a quadratic equation?</h3>
It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadrattic equation is f(x) = 2x² – 44x + 185.
Take common 2 from the equation, we have
Add and subtract 121, we have
![f(x) = 2(x^2 - 22x +121 - 121 )+ 185\\\\f(x) = 2[(x^2 - 11)^2-121]+ 185\\\\f(x) = 2(x-11)^2 - 242 + 185\\\\f (x ) = 2(x-11)^2 -57](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%28x%5E2%20-%2022x%20%2B121%20-%20121%20%29%2B%20185%5C%5C%5C%5Cf%28x%29%20%3D%202%5B%28x%5E2%20-%2011%29%5E2-121%5D%2B%20185%5C%5C%5C%5Cf%28x%29%20%3D%202%28x-11%29%5E2%20-%20242%20%2B%20185%5C%5C%5C%5Cf%20%28x%20%29%20%3D%202%28x-11%29%5E2%20-57)
And we know that the standard equation
f(x) = a(x - h)² + k
On comparing, we have
The vertex (h, k) is (11, -57).
More about the quadratic equation link is given below.
brainly.com/question/2263981
It's the last one because 35 percent of 10 is 3.5 and so is 35/100 x 10.
For 1a, since it is going down, the vertical lines signify that there are less raisins (and he is hopefully eating them)!. For 1b, it's entirely possible that Vincent could eat a different number of raisins, so that means that the line could be longer or shorter. Regarding 1c, if all the raisins were eaten, then there would be no mass as raisins take up mass. As that is not the case, there are therefore some raisins left.
For 2a, since a change in the y value (it goes up or down) means that the volume of juice changes, since there is no change in the y value when the line is horizontal that means that the amount of juice is not changing and Ellie is therefore not drinking from it at that time. The answer for 2b would be that it goes at an angle due to that when Ellie drinks from the juice box, the amount of juice decreases and is shown with 'Volume in milliliters'. Next, since it decreases, it therefore cannot stay in a straight line and therefore goes at an angle
