Answer:
Option A.
Step-by-step explanation:
The given expression is,
![[(64)^{-\frac{1}{2}}]^{-\frac{2}{3}}](https://tex.z-dn.net/?f=%5B%2864%29%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D%5D%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7D)
By solving the given expression,
[Since 
]
Now the expression will be,
![[(64)^{-\frac{1}{2}}]^{-\frac{2}{3}}=(\frac{1}{8})^{-\frac{2}{3}}](https://tex.z-dn.net/?f=%5B%2864%29%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D%5D%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7D%3D%28%5Cfrac%7B1%7D%7B8%7D%29%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7D)
![={(\sqrt[3]{8})^2}](https://tex.z-dn.net/?f=%3D%7B%28%5Csqrt%5B3%5D%7B8%7D%29%5E2%7D)
= 2²
= 4
Therefore, value of the given expression will be 4.
Option (A) will be the answer.
Answer:
2
Step-by-step explanation:
Using the distance formula,
We just need to plug in the numbers.
So 
Then we simplify it to
Finally, we get
, which is 
when simplified.
Answer:
- there are no solutions (lines do not intersect)
- there is one solution (lines intersect at one point)
- there are an infinite number of solutions (lines overlap—are the same line)
Step-by-step explanation:
"A system of linear equations" covers a lot of territory. In Algebra 1, it usually means two linear equations in two unknowns. Each of those equations will graph as a line on a coordinate plane.
A solution is a point that satisfies all the equations. That is, it is a point that is on all the lines described by the system of equations.
The geometry of lines on a plane comes into play with regard to solutions.
- The lines may be parallel, hence never intersect. (<em>No points</em> will be on all the lines.)
- The lines may intersect at <em>one point</em>.
- The lines may be the same line, overlapping, identical, coincident, consisting of <em>all the same points, an infinite number</em>.
1) -3•5/ 4•5 And 9•2/ 10•2 Because you want to have the same denominator. That equals -15/20 + 18/20 so you just add -15+18 to get 3/20
The answer is 3/20
Answer:
So even though it'll be a little strange, you do just take the miles and divide by the hours. Since 1 1/3 is the same as 4/3 then the rate = (4/3)/(1/4).
That's the same as 4/3 * 4 = 16/3 miles per hour. Or 5 1/3 miles per hour.
Step-by-step explanation:
