Answer:
The 4th one
Step-by-step explanation:
No X intercepts overlap
A=h•b/2
h=2x+1
b=2x
A=(2x+1) •2x/2
Divide numerator and denominator by 2
A=x(2x+1)
Answer:
20
Step-by-step explanation:
Let's start by rewriting the second equation in terms of "x":
![x+y=5](https://tex.z-dn.net/?f=x%2By%3D5)
Subtract y from both sides:
![x=5-y](https://tex.z-dn.net/?f=x%3D5-y)
Now, substitute "5-y" for "x" in the first equation:
![(5-y)^2-y^2=100](https://tex.z-dn.net/?f=%285-y%29%5E2-y%5E2%3D100)
Note that:
![(a-b)^2=a^2-2ab+b^2](https://tex.z-dn.net/?f=%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2)
![25-10y+y^2-y^2=100](https://tex.z-dn.net/?f=25-10y%2By%5E2-y%5E2%3D100)
Cancel out like terms:
![25-10y=100](https://tex.z-dn.net/?f=25-10y%3D100)
Subtract 25 from both sides:
![-10y=75](https://tex.z-dn.net/?f=-10y%3D75)
Divide both sides by -10
![y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B75%7D%7B-10%7D%3D%5Cfrac%7B15%7D%7B-2%7D%3D-%5Cfrac%7B15%7D%7B2%7D)
Now, substitute this value back into either of the equations to solve for x.
![x+y=5\\x-\frac{15}{2}=5\\](https://tex.z-dn.net/?f=x%2By%3D5%5C%5Cx-%5Cfrac%7B15%7D%7B2%7D%3D5%5C%5C)
Add 15/2 to both sides:
![x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}](https://tex.z-dn.net/?f=x%3D5%2B%5Cfrac%7B15%7D%7B2%7D%5C%5Cx%3D%5Cfrac%7B10%7D%7B2%7D%2B%5Cfrac%7B15%7D%7B2%7D%5C%5Cx%3D%5Cfrac%7B25%7D%7B2%7D)
Now, find the difference:
![x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20](https://tex.z-dn.net/?f=x-y%3D%5Cfrac%7B25%7D%7B2%7D-%28-%5Cfrac%7B15%7D%7B2%7D%29%3D%5Cfrac%7B25%7D%7B2%7D%2B%5Cfrac%7B15%7D%7B2%7D%3D%5Cfrac%7B40%7D%7B2%7D%3D20)
$0.70 for 2 lollipops
X for 94 lollipops
So, 2X=94*0.70
X= (94*0.70)/2 = 65.8/2
X= $32.9
The answer is YES. They are charging enough money to get $32.90 after selling 94 lollipops on sale for buy one and get one for free.
If sinα=1/4 and it is in q2 it means that the x coordinate is negative.
The triangle has a height of one and a hypotenuse of 4 so:
x=-√(4^2-1)
x=-√15
so tanα=-1/√15
tanα=-√(1/15)
tanα≈ -0.258