7+d=19 is the answer
subtract 7 from each side d=19-7
d=12
Part 1:
We are going to divide.
18 ÷ 2/5
18/1 * 5/2
90/2
[ 45 pieces ] can be cut.
Part 2:
We are going to divide.
5 1/5 ÷ 1 4/10
26/5 ÷ 14/10
26/5 * 10/14
260/70
3.7
Note that we need FULL pieces so we are going to round down.
3.7 -> 3
Therefore, the answer is [ B.) 3 ]
Best of Luck!
Answer:
333.15 Kelvin (K)
Step-by-step explanation:
When you convert from Celsius to Kelvin, you add 273.15
60 C + 273.15 = 333.15 K
So, that is the answer. Hope this helps!
Answer:
![y=-\frac{1}{3}x+\frac{5}{3}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B3%7Dx%2B%5Cfrac%7B5%7D%7B3%7D)
Step-by-step explanation:
Assuming that the first exponent in the formula for the curve should be 3, not 2...
![y=x^3-2x^2-4x+1](https://tex.z-dn.net/?f=y%3Dx%5E3-2x%5E2-4x%2B1)
The derivative is
![y'=3x^2-4x+4](https://tex.z-dn.net/?f=y%27%3D3x%5E2-4x%2B4)
The slope of the tangent line at the point (-1, 2) is the value of the derivative at x = -1.
![y'|_{x=-1} = 3(-1)^2-4(-1)+4=3-4+4=3](https://tex.z-dn.net/?f=y%27%7C_%7Bx%3D-1%7D%20%3D%203%28-1%29%5E2-4%28-1%29%2B4%3D3-4%2B4%3D3)
The slope of the normal line is the opposite reciprocal of the slope of the tangent line.
![m_{\text{normal} = -\frac{1}{3}](https://tex.z-dn.net/?f=m_%7B%5Ctext%7Bnormal%7D%20%3D%20-%5Cfrac%7B1%7D%7B3%7D)
Using the Point-Slope form of a linear equation, the normal line is
![y-2=-\frac{1}{3}(x-(-1))\\y-2=-\frac{1}{3}(x+1)\\y=-\frac{1}{3}x-\frac{1}{3}+2\\y=-\frac{1}{3}x+\frac{5}{3}](https://tex.z-dn.net/?f=y-2%3D-%5Cfrac%7B1%7D%7B3%7D%28x-%28-1%29%29%5C%5Cy-2%3D-%5Cfrac%7B1%7D%7B3%7D%28x%2B1%29%5C%5Cy%3D-%5Cfrac%7B1%7D%7B3%7Dx-%5Cfrac%7B1%7D%7B3%7D%2B2%5C%5Cy%3D-%5Cfrac%7B1%7D%7B3%7Dx%2B%5Cfrac%7B5%7D%7B3%7D)