Answer:
A' (-2,3)
B' (-1,1)
C' (-4,0)
Step-by-step explanation:
Given coordinates:
A (3,0)
B (4,-2)
C (1,-3)
We want to find the location of the coordinates after a translation of <-5,3>
Explanation of translation
<-5,3>
Subtract 5 from the x value and add 3 to the y value
Applying translation
A (3,0) ---------> (3-5,0+3) ---------> (-2,3)
B (4,-2) ---------> (4-5,-2+3) ---------> (-1,1)
C (1,-3) ---------> (1-5,-3+3) ---------> (-4,0)
So the new coordinates would be
A' (-2,3)
B' (-1,1)
C' (-4,0)
Answer:
x = 0 .
-20/19 (see below).
Step-by-step explanation:
√(x + 1) + √5x = √(7x + 1)
Squaring both sides:
x + 1 + 5x + 2√(x + 1)√5x = 7x + 1
2√(x + 1)√5x = 7x +1 - 1 - x - 5x = x
Squaring both sides:
4(x + 1)(5x) = x^2
20x^2 + 20x - x^2 = 0
19x^2 + 20x) = 0
x(19x + 20) = 0
x = 0, -20/19.
If we substitute x = 0 into the original equation we get
√(0 + 1) + √5*0 = √(7*0 + 1)
1 = 1 so this is a true solution.
-20/19 :- √(-20/19 + 1) is not real so unless we allow complex square root this is extraneous.
Answer: the arithmetic sequence is
3, 10, 17, 24
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference. This means that the difference between the first term and the second term must equal the difference between the second term and the third term.
Considering the following sequences,
1) 4 - 1 = 3
9 - 4 = 5
There is no common difference and so, it is not an arithmetic sequence.
2) 10 - 3 = 7
17 - 10 = 7
The common difference is 7. So it is an arithmetic sequence.
3) 6 - - 5 = 11
10 - 6 = 4
There is no common difference and so, it is not an arithmetic sequence.
4) 2 - 1 = 1
4 - 2 = 2
There is no common difference and so, it is not an arithmetic sequence.
Hey there!
Let's make one and solve it.
Fraction division is solved by using a simple rule:
"keep, switch, flip!"
So if we have:
4/8 divided by 5/9
We keep the 4/8, switch the division to multiplication, and flip the 5/9 to 9/5:
4/8 * 9/5 = 36/40 = 18/20 = 9/10
Hope this helps!
