Answer:
b = 1.52
Step-by-step explanation:
Length of diagonals of a parallelogram =
and ![\frac{2}{3}(3b+6)](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283b%2B6%29)
If the given parallelogram is a rectangle,
Length of the diagonals will be equal in measure,
Therefore, ![\frac{10}{12}(245b - 365)=\frac{2}{3}(3b+6)](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D%28245b%20-%20365%29%3D%5Cfrac%7B2%7D%7B3%7D%283b%2B6%29)
245b - 365 = ![\frac{12}{10}\times \frac{2}{3}(3b+6)](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B10%7D%5Ctimes%20%5Cfrac%7B2%7D%7B3%7D%283b%2B6%29)
245b - 365 = ![\frac{4}{5}(3b+6)](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D%283b%2B6%29)
5(245b - 365) = 4(3b + 6)
1225b - 1825 = 12b + 24
1225b - 12b = 24 + 1825
1213b = 1849
b = ![\frac{1849}{1213}](https://tex.z-dn.net/?f=%5Cfrac%7B1849%7D%7B1213%7D)
b = 1.52
Answer:
![x=3, y = 49\\x=0.5, y = -3.5\\x=-0.67, y = -2.31](https://tex.z-dn.net/?f=x%3D3%2C%20y%20%3D%2049%5C%5Cx%3D0.5%2C%20y%20%3D%20-3.5%5C%5Cx%3D-0.67%2C%20y%20%3D%20-2.31)
Step-by-step explanation:
![y=6x^2-5\\y=17x-\frac{6}{x}](https://tex.z-dn.net/?f=y%3D6x%5E2-5%5C%5Cy%3D17x-%5Cfrac%7B6%7D%7Bx%7D)
Let's substitute the first equation into the second one.
![6x^2-5=17x-\frac{6}{x}](https://tex.z-dn.net/?f=6x%5E2-5%3D17x-%5Cfrac%7B6%7D%7Bx%7D)
- Multiply by
and bring all the terms to one side.
I'll use my graphical calculator to solve this but you could factor:
(All rounded to 2 decimal places)
Now we can substitute these
values into an equation for
.
![y=6x^2 - 5](https://tex.z-dn.net/?f=y%3D6x%5E2%20-%205)
![x=3, y = 49\\x=0.5, y = -3.5\\x=-0.67, y = -2.31](https://tex.z-dn.net/?f=x%3D3%2C%20y%20%3D%2049%5C%5Cx%3D0.5%2C%20y%20%3D%20-3.5%5C%5Cx%3D-0.67%2C%20y%20%3D%20-2.31)
Answer:
<h2>
y = -2x + 4</h2>
Step-by-step explanation:
4>0, 1>0 and 3>0 means the functions y=4x, y=x+7 and y=3x-1 are increasing
-2<0 means that function y = -2x+4 is decreasing
Answer:
y = mx + b
Step-by-step explanation:
y is what the solution is, M is your slope, b is your y-intercept :)
example : -2 = 3/5 (5) - 5
y = -2 m = 3/5 x = 5 b = -5
Answer: 4 inches
Step-by-step explanation:
Well you know that a foot is 12 inches. We also know that when it is asking to convert 1/3 of a foot to inches that it is asking us to give one of three of the same numbers that add up to equal 12. So it is asking us to divide.
Question: Convert 1/3 foot to inches. 1 ft. = 12 in.
1/3 × 12/1 = 12/3
Which is the same as if you wrote it like:
12 ÷ 3
12 ÷ 3 = 4
So to convert would be:
1/3 ft. = 4 in.