Y=mx+b
m=slope=-34
b=y-intercept=6
y=-34x+6 is your linear equation
Answer:
C. 2,940 ft³
Step-by-step explanation:
The building is composed of a triangular prism and a rectangular prism
Therefore,
Volume of air in the building = volume of the triangular prism + volume of the rectangular prism
Volume of triangular prism = ½*bhl
b = 4 yards = 4*3 = 12 ft
h = 15 - 9½ = 5½ = 5.5 ft
l = 20 ft
Volume of triangular prism = ½*12*5.5*20 = 660 ft³
Volume of rectangular prism = W*H*L
W = 4 yds = 12 ft
H = 9½ = 9.5
L = 20 ft
Volume of rectangular prism = 12*9.5*20 = 2,280 ft³
✔️Volume of air in the building = 660 + 2,280 = 2,940 ft³
first off, let's convert the mixed fraction to improper fraction and then proceed, let's notice that by PEMDAS or order of operations, the multiplication is done first, and then any sums.
![\stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \div \cfrac{1}{2}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \cdot \cfrac{2}{1}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{4} \\\\\\ \cfrac{-3+15}{4}\implies \cfrac{12}{4}\implies 3](https://tex.z-dn.net/?f=%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B7%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%208%2B7%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B15%7D%7B8%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20-%5Ccfrac%7B3%7D%7B4%7D~~%20%2B%20~~%5Ccfrac%7B15%7D%7B8%7D%20%5Cdiv%20%5Ccfrac%7B1%7D%7B2%7D%5Cimplies%20-%5Ccfrac%7B3%7D%7B4%7D~~%20%2B%20~~%5Ccfrac%7B15%7D%7B8%7D%20%5Ccdot%20%5Ccfrac%7B2%7D%7B1%7D%5Cimplies%20-%5Ccfrac%7B3%7D%7B4%7D~~%20%2B%20~~%5Ccfrac%7B15%7D%7B4%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B-3%2B15%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B12%7D%7B4%7D%5Cimplies%203)
It would be -3/1. This is because you find where it crosses the Y axis which is at 4. Then you go down three and over one to give you the next even point. Which going down to the right means it’s negative. Hope this helps! Please mark branlist if possible!!
The required values are 11 and 19
Given the expression;
15−||2−3a||
If a = 2
Substitute the given value into the expression
If the moduli expression is positive
15−(2−3a)
= 15 - (2-3(2))
= 15 - (2-6)
= 15 - (-4)
= 15 + 4
= 19
If the moduli expression is negative
= 15 - -(2-3(2))
= 15 - -(2-6)
= 15 - -(-4)
= 15 - +4
= 15 - 4
= 11
Hence the required values are 11 and 19
Learn more here: brainly.com/question/8242423