Answer: Trinomials often (but not always!) have the form x2 + bx + c. ... So, how do you get from 6x2 + 2x – 20 to (2x + 4)(3x −5)? Let's take a look. Factoring Trinomials
Step-by-step explanation:
Ahh i hope im in time to help!
The answer is C, 46
Hope this helped pls mark be brainliest!!!
Answer:
213.52 cubic ft
Step-by-step explanation:
Diameter of pipe = 4ft
radius for circle is half of diameter
thus radius of pipe = 1/2 of 4ft = 2 ft
length of pipe = 17 feet
volume of cylinder is given by ![\pi r^2l](https://tex.z-dn.net/?f=%5Cpi%20r%5E2l)
where r is the radius and l is the length of cylinder
.
thus volume of pipe is calculated below using above values
![volume \ of \ pipe = \pi r^2l\\volume \ of \ pipe = \3.14* 2^2*17 \\volume \ of \ pipe = 213.52](https://tex.z-dn.net/?f=volume%20%5C%20of%20%5C%20pipe%20%3D%20%5Cpi%20r%5E2l%5C%5Cvolume%20%5C%20of%20%5C%20pipe%20%3D%20%5C3.14%2A%202%5E2%2A17%20%5C%5Cvolume%20%5C%20of%20%5C%20pipe%20%3D%20%20213.52)
volume of pipe is 213.52 cubic ft.
Answer:
3ft
Step-by-step explanation:
We are given that
Height of lamp, h=12ft
Height of shadow, l=6ft
Height of shadow of hydrant, l'=1.5ft
Let height of hydrant=h'
We have to find the height of fire hydrant.
All right triangles are similar
When two triangles are similar then, the ratio of their corresponding sides are equal.
Using the property
![\frac{h}{h'}=\frac{l}{l'}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7Bh%27%7D%3D%5Cfrac%7Bl%7D%7Bl%27%7D)
![\frac{12}{h'}=\frac{6}{1.5}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7Bh%27%7D%3D%5Cfrac%7B6%7D%7B1.5%7D)
![h'=\frac{12\times 1.5}{6}](https://tex.z-dn.net/?f=h%27%3D%5Cfrac%7B12%5Ctimes%201.5%7D%7B6%7D)
ft
Hence, the height of fire hydrant=3 ft
Tabitha Tidbits costs $7 per bag, and Figaro Flakes is $5.50 per bag.
You need to set up a system of equations. Use "x" for Tabitha Tidbits and "y" for Figaro Flakes, and let the total cost of each trip equal c. Using the equation ax+by=c, substitute the cost of each trip in for c, and the number of bags for each food for a and b respectively. The two equations will be:
3x+4y=43
3x+6y=54
Isolate x in the first equation and you will get:
x=(43-4y)/3
Substitute the above equation for x into the other equation:
3*((43-4y)/3)+6y=54
Isolate y in this equation, and you will get 11/2, which is 5.5
So the cost of one bag of Figaro Flakes is $5.50
Now substitute this into the equation where you isolated x:
(43-4(5.5))/3
You will get x=7, so a bag of Tabitha Tidbits is $7