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algol13
2 years ago
6

What is 2 to the 9th power

Mathematics
1 answer:
andrey2020 [161]2 years ago
5 0

Answer:

it is 512

Step-by-step explanation:

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Is the line through points p(-7,8) and q(-5,-6) parallel to the line throuh points R(3,-5) and S(-2,0)? explain.
BARSIC [14]
I'm going to use the slope formula which is
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points the line goes through

Slope of line PQ
m = (y2 - y1)/(x2 - x1)
m = (-6 - 8)/(-5 - (-7))
m = (-6 - 8)/(-5 + 7)
m = (-14)/(2)
m = -7
The slope of line PQ is -7

Slope of RS
m = (y2 - y1)/(x2 - x1)
m = (0 - (-5))/(-2 - 3)
m = (0 + 5)/(-2 - 3)
m = (5)/(-5)
m = -1
The slope of line RS is -1

Because the slopes are NOT equal (one is -7 and the other is -1), this means the lines are NOT parallel.

-----------------------------------------------------------------------------------------------------

Answer: Choice B) No, the lines have unequal slopes

5 0
2 years ago
Read 2 more answers
A pizza is to be cut into halves. Each of these halves is to be cut into sevenths. What fraction of the pizza is each of the fin
Hitman42 [59]

Answer: \dfrac{1}{14}

Step-by-step explanation:

Given, A pizza is to be cut into halves.

Since half is represented by \dfrac12 .

So each piece is now \dfrac12 of the original.

if each of these halves is to be cut into sevenths, then the fraction of  final pieces would be: \dfrac{1}{2}\times\dfrac{1}{7}=\dfrac{1}{14} or we can say each half is divides into 7 pieces since there are two halves, so there will be 2 x 7 = 14 peices.

And the fraction of the pizza is each of the final pieces = \dfrac{1}{14} .

7 0
3 years ago
Put the steps in correct order to prove that if x is irrational, then 1/x is irrational using contraposition.
SOVA2 [1]

Answer:

The correct order is:

a

c

d

b

Step-by-step explanation:

First, let's write 1/x in a convenient way for us:

a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.

Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:

c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.

Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:

d) Observe that x is the quotient of two integers with the denominator nonzero.

And that is the definition of rational, then we end with:

b) Hence x is rational.

Which is what we wanted to get.

5 0
2 years ago
Tony has a toolbox in his garage. The toolbox contains 4 hammers, 6 wrenches, 3 pliers, and 4 screwdrivers.
DanielleElmas [232]

Answer:

The answer is A. 6/17

Step-by-step explanation:

the top number is how many wrenches and the bottom number is all of the tools you could possibly get.

7 0
3 years ago
Please solve these sums<br>for 10 points​
laila [671]

Answer:

(i) = 3

(ii) = 20

Step-by-step explanation:

x = 1

y = -2

z = -1

(i) 4x - 3y + 7z

4(1) - 3(-2) + 7(-1)

4 + 6 - 7 = 3

(ii) 2x³ - 6y²z + 3xyz²

2(1)³ - 6(-2)²(-1) + 3(1)(-2)(-1)²

2 + 24 - 6 = 20

3 0
3 years ago
Read 2 more answers
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