Answer:
![\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}=31](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B7%5Cfrac%7B3%7D%7B4%7D%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D31)
Step-by-step explanation:
<u>Fractions</u>
We are given the expression:
![\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B7%5Cfrac%7B3%7D%7B4%7D%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D)
We'll find an equivalent expression that results when simplifying the given fraction.
The numerator is a mixed fraction, which we'll convert into an improper fraction as follows:
![7\frac{3}{4}=7+\frac{3}{4}=\frac{4*7+3}{4}=\frac{31}{4}](https://tex.z-dn.net/?f=7%5Cfrac%7B3%7D%7B4%7D%3D7%2B%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B4%2A7%2B3%7D%7B4%7D%3D%5Cfrac%7B31%7D%7B4%7D)
Now it follows:
![\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}=\frac{\frac{31}{4}}{\frac{1}{4}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B7%5Cfrac%7B3%7D%7B4%7D%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Cfrac%7B%5Cfrac%7B31%7D%7B4%7D%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D)
Instead of dividing fraction, we multiply by the reciprocal of the denominator:
![\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}=\frac{31}{4}\cdot \frac{4}{1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B7%5Cfrac%7B3%7D%7B4%7D%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Cfrac%7B31%7D%7B4%7D%5Ccdot%20%5Cfrac%7B4%7D%7B1%7D)
Simplifying:
![\mathbf{\displaystyle \frac{7\frac{3}{4}}{\frac{1}{4}}=31}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdisplaystyle%20%5Cfrac%7B7%5Cfrac%7B3%7D%7B4%7D%7D%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D31%7D)
Answer:
(3, -1), 7
Step-by-step explanation:
To find the center of this circle: compare the given equation
(x - 3)^2 + (y + 1)^2 = 7^2 to the standard equation of a circle with center at (h, k):
(x - h)^2 + (y -k)^2 = r^2
From this comparison we see that the center is at
h = 3 and k = -1, and also that r must be 7: (3, -1), 7
Answer:
The answer is option 4.
Step-by-step explanation:
You have to use Indices Law,
![{a}^{m} \times {a}^{n} = {a}^{m + n}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7Bm%7D%20%20%5Ctimes%20%20%7Ba%7D%5E%7Bn%7D%20%20%3D%20%20%7Ba%7D%5E%7Bm%20%2B%20n%7D%20)
![{a}^{ - n} = \frac{1}{ {a}^{n} }](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B%20-%20n%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7Ba%7D%5E%7Bn%7D%20%7D%20)
So for this question :
![{2}^{ - 4} \times {2}^{2}](https://tex.z-dn.net/?f=%20%7B2%7D%5E%7B%20-%204%7D%20%20%5Ctimes%20%20%7B2%7D%5E%7B2%7D%20)
![= {2}^{ - 4 + 2}](https://tex.z-dn.net/?f=%20%3D%20%20%7B2%7D%5E%7B%20-%204%20%2B%202%7D%20)
![= {2}^{ - 2}](https://tex.z-dn.net/?f=%20%3D%20%20%7B2%7D%5E%7B%20-%202%7D%20)
![{a}^{b} = c \\ c = {2}^{ - 2}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7Bb%7D%20%20%3D%20c%20%5C%5C%20c%20%3D%20%20%7B2%7D%5E%7B%20-%202%7D%20)
![c = \frac{1}{ {2}^{2} }](https://tex.z-dn.net/?f=c%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7B2%7D%5E%7B2%7D%20%7D%20)
![c = \frac{1}{4}](https://tex.z-dn.net/?f=c%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20)
Answer:
thank you, have an amazing day :)
Step-by-step explanation:
Answer:
3/5 is the answer!
Step-by-step explanation:
y = 3x/5 also means y = 3/5 * x
Which means in y = mx form, the 3/5 = m