Answer:
181.8 yd
Step-by-step explanation:
The law of cosines is good for this. It tells you for triangle sides 'a' and 'b' and included angle C, the length of 'c' is given by ...
c^2 = a^2 +b^2 -2ab·cos(C)
For the given geometry, this is ...
c^2 = 400^2 +240^2 -2(400)(240)cos(16°) ≈ 33,037.75
c ≈ √33037.75 ≈ 181.8 . . . yards
Marsha's ball is about 181.8 yards from the hole.
X=4
-4x4=-16+14=-2
2x4=8+7=15
-2 x 15=30
to solve 3(2x+1) you need to multiply. so 3 times 2x is 6x and 3 times 1 is 3 making the final answer to be 6x+1
Answer:
is the expression which is equivalent to
.
In other words:
![x\left(2x+3\right)=2x^2+3x](https://tex.z-dn.net/?f=x%5Cleft%282x%2B3%5Cright%29%3D2x%5E2%2B3x)
Step-by-step explanation:
Given the expression
![x\left(2x+3\right)](https://tex.z-dn.net/?f=x%5Cleft%282x%2B3%5Cright%29)
solving
![x\left(2x+3\right)](https://tex.z-dn.net/?f=x%5Cleft%282x%2B3%5Cright%29)
![\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Athe%5C%3Adistributive%5C%3Alaw%7D%3A%5Cquad%20%5C%3Aa%5Cleft%28b%2Bc%5Cright%29%3Dab%2Bac)
![a=x,\:b=2x,\:c=3](https://tex.z-dn.net/?f=a%3Dx%2C%5C%3Ab%3D2x%2C%5C%3Ac%3D3)
![=x\cdot \:2x+x\cdot \:3](https://tex.z-dn.net/?f=%3Dx%5Ccdot%20%5C%3A2x%2Bx%5Ccdot%20%5C%3A3)
![=2xx+3x](https://tex.z-dn.net/?f=%3D2xx%2B3x)
∴ ![2xx=2x^2](https://tex.z-dn.net/?f=2xx%3D2x%5E2)
Thus,
![x\left(2x+3\right)=2x^2+3x](https://tex.z-dn.net/?f=x%5Cleft%282x%2B3%5Cright%29%3D2x%5E2%2B3x)
Therefore,
is the expression which is equivalent to
.
-1/2 and -2 would be the answer
This would be because when you plug these number instead of x the answer is equal to or less than 13