Answer:
Slope of function A is 6 and slope of function B is 3. Slope of A is twice of slope of function B. The relationship between slopes is
![\text{Slope of Function A}=2\times \text{Slope of Function B}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%20of%20Function%20A%7D%3D2%5Ctimes%20%5Ctext%7BSlope%20of%20Function%20B%7D)
Step-by-step explanation:
The function A is,
![f(x)=6x-1](https://tex.z-dn.net/?f=f%28x%29%3D6x-1)
It can be written as,
![y=6x-1](https://tex.z-dn.net/?f=y%3D6x-1)
It is the slope intercept form like
, where m is the slope. On comparing the function A with the slope intercept form, we get the value of slope of function A is 6.
![m_{A}=6](https://tex.z-dn.net/?f=m_%7BA%7D%3D6)
The graph of function B passing through the point (1,4), (-1,-2) and (-2,-5).
If a line passing through the points and , then the slope of line is,
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Choose any two points of function B. Let the function B is passing through the points (1,4) and (-1,-2).
![m_{B}=\frac{-2-4}{-1-1}](https://tex.z-dn.net/?f=m_%7BB%7D%3D%5Cfrac%7B-2-4%7D%7B-1-1%7D)
![m_{B}=\frac{-6}{-2}](https://tex.z-dn.net/?f=m_%7BB%7D%3D%5Cfrac%7B-6%7D%7B-2%7D)
![m_{B}=3](https://tex.z-dn.net/?f=m_%7BB%7D%3D3)
The slope of function B is 3.
Since slope of function A is 6 and the slope of function B is 3, so we can say that the slope of function A is twice of slope of function B.
![\text{Slope of Function A}=2\times \text{Slope of Function B}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%20of%20Function%20A%7D%3D2%5Ctimes%20%5Ctext%7BSlope%20of%20Function%20B%7D)
Answer:
slope: 6/5
Step-by-step explanation:
you do y2-y1 divided by x2-x1 so it will be 1-(-5) / 7-2 which is equal to 6/5
Answer:
The Paid-In Capital from Treasury Stock Transactions for the sale of 600 shares is $600.
Step-by-step explanation:
Total number of shares = 1000.
Sales price is
dollars
When treasury stocks are sold, cash is debited for the sales price.
And simultaneously, the treasury stock is credited for the purchase price of the stock =
dollars
Paid-In Capital from Treasury Stock Transactions =
dollars (difference between sale and purchase price)
So, the amount of Paid-In Capital from Treasury Stock Transactions for the sale of 600 shares is $600.
You must use sinθ=
![\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%20)
first to identify AC,
sin45=
![\frac{AC}{24}](https://tex.z-dn.net/?f=%20%5Cfrac%7BAC%7D%7B24%7D%20)
By cross multiplying!,,,
sin45× 24 = AC
AC= 16.97056275 (Rounded= 16.97)
So, now you have base! But the triangle's formula is
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
base× height,,, So , you need height which is BC,
To find BC,
You could use cos , tan or sin as well, but I find Pythagorean Theorem slightly easy, So I'll show you that ---
Which is,
![a^{2}](https://tex.z-dn.net/?f=%20a%5E%7B2%7D%20)
+
![b^{2}](https://tex.z-dn.net/?f=%20b%5E%7B2%7D%20)
=
![c^{2}](https://tex.z-dn.net/?f=%20c%5E%7B2%7D%20)
![(AC)^{2}](https://tex.z-dn.net/?f=%20%28AC%29%5E%7B2%7D%20)
+
![(BC)^{2}](https://tex.z-dn.net/?f=%20%28BC%29%5E%7B2%7D%20)
=
![AB^{2}](https://tex.z-dn.net/?f=%20AB%5E%7B2%7D%20)
So, we have AC= 16.97, and AB= 24
That's sufficient for what we want, let's plug in our values into the formula,
![(16.97)^{2}](https://tex.z-dn.net/?f=%20%2816.97%29%5E%7B2%7D%20)
+
![BC^{2}](https://tex.z-dn.net/?f=%20BC%5E%7B2%7D%20)
=
![(24)^{2}](https://tex.z-dn.net/?f=%20%2824%29%5E%7B2%7D%20)
Moving
![(16.97)^{2}](https://tex.z-dn.net/?f=%20%2816.97%29%5E%7B2%7D%20)
to right,,
![BC^{2}](https://tex.z-dn.net/?f=%20BC%5E%7B2%7D%20)
=
![(24)^{2}](https://tex.z-dn.net/?f=%20%2824%29%5E%7B2%7D%20)
-
![(16.97)^{2}](https://tex.z-dn.net/?f=%20%2816.97%29%5E%7B2%7D%20)
![BC^{2}](https://tex.z-dn.net/?f=%20BC%5E%7B2%7D%20)
= 576-288
![BC^{2}](https://tex.z-dn.net/?f=%20BC%5E%7B2%7D%20)
= 288
![\sqrt{BC}](https://tex.z-dn.net/?f=%20%5Csqrt%7BBC%7D%20)
=
![\sqrt{288}](https://tex.z-dn.net/?f=%20%5Csqrt%7B288%7D%20)
( squaring both sides )
BC = 16.97 ft.
So, now we have Base = 16.97 and height same= 16.97
And now you can find the area,
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
× base × height
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
× 16.97 ×16.97
To get 96 square feet.