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2 years ago

Without simplifying, identify the slope of the line given by the equation y-5=-2(x+5)

Mathematics

1 answer:

CaHeK987 [17]2 years ago

7 0

Slope is a number in front of x, so slope is (-2)

y-y1=m(x-x1)
y-5= -2(x+5)
y-5= -2(x-(-5))
so y1=5, x1=-5, a point is (x1,y1), so the point is (-5,5)

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How do I Simplify i^54

yanalaym [24]

Answer:

$i^{54}=-1$

Step-by-step explanation:

First, recall the 4 basic imaginary exponents:

$i^1=i \text{, }i^2=-1\text{, }i^3=-1\text{ and } i^4=1$

So, we want to find:

$i^{54}$

This is the same as:

$=i^{52}\cdot i^2$

52 is 4 times 13. Thus:

$=(i^4)^{13}\cdot i^2$

Since we know that i to the fourth is 1:

$=(1)^{13}\cdot i^2$

Simplify:

$=i^2$

And this equals:

$=-1$

So:

$i^{54}=-1$

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2 years ago

62,591 + 7.1 X 10-2 in standard notations

quester [9]

Answer:

0.000071

Step-by-step explanation:

The given number that is given in scientific notation is, ............(1)

We need to write this number in standard notation. A number can be written in scientific notation as :

..........(2)

In standard notation,

So, is equivalent to . Hence, the correct option is (d)

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2 years ago

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The sides of a rectangle are x cm and 4 cm. Its perimeter is 46 cm. Determine the value of x.

Vedmedyk [2.9K]

Answer:

x = 19 cm

Step-by-step explanation:

perimeter = 46 = 2(x + 4)

2x + 8 = 46

2x = 38

x = 19

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2 years ago

Juanita and Nina are bowling together. The probability of Juanita getting a strike next game is 24%. The probability of Nina get

Ivanshal [37]

Answer:

Step-by-step explanation:

0.24 is greater than 0.17, and therefore J's getting a strike next game is more likely.

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Find the measure of line KM. A. 14 B. 9 C. 12 D. 10

HACTEHA [7]

$\\ \sf\longmapsto \dfrac{3}{x-4}=\dfrac{6}{x-5}$

$\\ \sf\longmapsto 3(x-5)=6(x-4)$

$\\ \sf\longmapsto 3x-15=6x-24$

$\\ \sf\longmapsto 3x-6x=-24+15$

$\\ \sf\longmapsto -3x=-9$

$\\ \sf\longmapsto x=\dfrac{-9}{-3}$

$\\ \sf\longmapsto x=3$

$\\ \sf\longmapsto KM=3+6=9$

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2 years ago