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AleksandrR [38]
2 years ago
7

8. Which expression is equivalent to

Mathematics
1 answer:
Ksju [112]2 years ago
5 0

Answer:

option 3

Step-by-step explanation:

\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\

\dfrac{12x^{4}}{4x^{16}}=3x^{4-16}

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What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with vertices L(0,-3), M(-2,1), N(1,5), O(3
ArbitrLikvidat [17]
ANSWER

\boxed {( \frac{1}{2} , 1)}

EXPLANATION

The given parallelogram has vertices,

L(0,-3), M(-2,1), N(1,5), O(3,1).

The diagonals of the parallelogram bisect each other.

From the diagram, we can see that, the diagonals have coordinates L(0,-3),N(1,5)

and

M(-2,1),O(3,1).

The midpoint of any of the diagonals will give us the coordinates of intersection of the diagonals.

Recall the midpoint formula,

(\frac{x_1+x_2}{2}, \frac{y_2+y_1}{2})

Using L(0,-3),N(1,5) gives,

(\frac{0+1}{2}, \frac{ - 3+5}{2})

(\frac{1}{2}, \frac{ 2}{2})

(\frac{1}{2}, 1)

Or we could have also used,M(-2,1),O(3,1) to get,

(\frac{-2+3}{2}, \frac{ 1+1}{2})

(\frac{ 1}{2}, \frac{ 2}{2})

(\frac{ 1}{2}, 1)

The correct answer is C

6 0
3 years ago
Somebody please help me
Elenna [48]

Answer:

I believe it's 4,080

Step-by-step explanation:

you just add the two numbers

7 0
3 years ago
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Simplify the expression below. Show your Work.
lord [1]

Answer:

7y + 24

Step-by-step explanation:

Think of the negative sign to the left of the parentheses as being -1. Then apply the distributive property. The effect of a negative sign to the left of parentheses or a 1 to the left of parentheses is that each term inside the parentheses changes sign.

-(-7y - 24) = -1(-7y - 24) = (-1)(-7y) - (-1)(24) = 7y - (-24) = 7y + 24

8 0
3 years ago
If 75% of the students in Toby’s grade voted, how many students are in Toby’s grade?
ELEN [110]

Answer:

The total number of students in Toby's grade is 200.

3 0
3 years ago
The price of a television is $567.31. The state sales tax rate is 8.3%.
Tems11 [23]
8.3%= 0.083

567.31 * .083 = 47.086 = 47.09

567.31+47.09= $614.40

Total cost is $614.40
3 0
3 years ago
Read 2 more answers
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