A, you need to plug in to start solving
Answer: D
Step-by-step explanation:
The rest are not
Answer:
29/6
Step-by-step explanation:
The expression that we have to evaluate in this problem is
![1+(-\frac{2}{3}) -(-m)](https://tex.z-dn.net/?f=1%2B%28-%5Cfrac%7B2%7D%7B3%7D%29%20-%28-m%29)
for
.
First of all, we re-arrange the expression. We know that:
- The product of a positive number (+) and a negative number (-) is negative (-)
- The product of a negative number (-) and a negative number (-) is positive (+)
So we can rewrite the expression as
![1-\frac{2}{3}+m](https://tex.z-dn.net/?f=1-%5Cfrac%7B2%7D%7B3%7D%2Bm)
Also, we can combine the two numerical terms:
![1-\frac{2}{3}=\frac{3}{3}-\frac{2}{3}=\frac{1}{3}](https://tex.z-dn.net/?f=1-%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B3%7D%7B3%7D-%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B1%7D%7B3%7D)
Therefore the expression becomes
![\frac{1}{3}+m](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%2Bm)
Now we can substitute
, and we find:
![\frac{1}{3}+\frac{9}{2}=\\\frac{2}{6}+\frac{27}{6}=\\\frac{2+27}{6}=\frac{29}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B9%7D%7B2%7D%3D%5C%5C%5Cfrac%7B2%7D%7B6%7D%2B%5Cfrac%7B27%7D%7B6%7D%3D%5C%5C%5Cfrac%7B2%2B27%7D%7B6%7D%3D%5Cfrac%7B29%7D%7B6%7D)
Y = mx + b
slope(m) = -3/8
(5,-4)...x = 5 and y = -4
now we sub and find b, the y int
-4 = -3/8(5) + b
-4 = -15/8 + b
-4 + 15/8 = b
-32/8 + 15/8 = b
-17/8 = b
y = -3/8x - 17/8.....add 3/8x to both sides
3/8x + y = -17/8...multiply everything by 8
3x + 8y = - 17 <=== standard form
Answer:
7854 cm²
Step-by-step explanation:
3.14 x 50² = 7850