Answer:
Yes
Step-by-step explanation:
Answer:
infinitely many solutions.
Step-by-step explanation:
The given equation is 8(x-3)=8x-24
Distribute 8 over the parenthesis in the left hand side
8x-24 = 8x-24
Group the like terms
8x-8x=-24+24
Combine like term
0 = 0
We got a true result, 0 = 0.
Hence, the equations have infinitely many solutions.
Answer: 134 cookies
Step-by-step explanation: First we want to find the total amount of cookies Brain bought. Simply multiply 14 x 9 to find the total amount of cookies bought.
14 x 9 = 126 cookies.
Since Brian already had 8 cookies in the jar, we will simply add the new amount of cookies he bought to the cookies in the jar left.
126 + 8 = 134 total cookies that Brain has now.
Answer:
In the last two overs, the bowler gave 14 runs.
Step-by-step explanation:
The bowling rate of 4.5 in the first 8 over means he gave 32.5 runs.
i.e.
Score given in first 8 overs = 4.5 × 8 = 36
Given that the bowling economy 5 at the end of 10 overs means the bowler must have given 10 × 5 = 50 score in the total 10 overs.
so, subtract 36 from 50 to get the score he will be giving in the last two overs.
i.e. score given the last two overs = 50 - 36 = 14
Therefore, in the last two overs, the bowler gave 14 runs.
Let's use the distance formula to find the distance between the origin and each of the points. We can use this to show that the distances are the same. Remember that the distance formula is:

is one point
is the other point that you are trying the distance to
First, let's find the distance between the points (3, 1) and the origin, (0, 0). We will call this distance
.



Next, let's find the distance between (1, 3) and the origin, (0, 0). We will call this
.



We can see that
, or that the distances are the same. ✔︎