Answer:
A = 32
Step-by-step explanation:
A = ½ (a + b) h
A = ½ (3 + 10) 4
A = (3+5)4
A = (8)4
A = 32
0.036 is greater. 0.035 is less than 0.036.
Answer:
The value of the given expression when z=27 is 16
Therefore
when z=27
Step-by-step explanation:
Given expression is ![\frac{7}{9}(z-18)+\frac{1}{3}z](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B9%7D%28z-18%29%2B%5Cfrac%7B1%7D%7B3%7Dz)
To find the value of the expression when z=27 :
First simplify the given expression
![\frac{7}{9}(z-18)+\frac{1}{3}z](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B9%7D%28z-18%29%2B%5Cfrac%7B1%7D%7B3%7Dz)
![=\frac{7(z-18)}{9}+\frac{1}{3}z](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7%28z-18%29%7D%7B9%7D%2B%5Cfrac%7B1%7D%7B3%7Dz)
![=\frac{7z-126}{9}+\frac{1}{3}z](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7z-126%7D%7B9%7D%2B%5Cfrac%7B1%7D%7B3%7Dz)
![=\frac{7z-126+3z}{9}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7z-126%2B3z%7D%7B9%7D)
Put z=27 in the above equation we get
![=\frac{144}{9}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B144%7D%7B9%7D)
![=\frac{144}{9}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B144%7D%7B9%7D)
![=16](https://tex.z-dn.net/?f=%3D16)
Therefore the value of the given expression when z=27 is 16
Therefore
when z=27
Answer: a = 0
Step-by-step explanation:
ok we got
. Our task is to choose a value for
so that "the tangent line to
at
passes through
."
Well
, and
. So our tangent line looks like this:
![y - 3 = (4 + a)(x - 1)](https://tex.z-dn.net/?f=y%20-%203%20%3D%20%284%20%2B%20a%29%28x%20-%201%29)
![y = 4x + ax - a - 1](https://tex.z-dn.net/?f=y%20%3D%204x%20%2B%20ax%20-%20a%20-%201)
We know this must contain the point
, so
![2a + 7 = 4(2) + a(2) - a - 1](https://tex.z-dn.net/?f=2a%20%2B%207%20%3D%204%282%29%20%2B%20a%282%29%20-%20a%20-%201)
![a = 8 - 7 - 1\\\\\boxed{a = 0}](https://tex.z-dn.net/?f=a%20%3D%208%20-%207%20-%201%5C%5C%5C%5C%5Cboxed%7Ba%20%3D%200%7D)