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vivado [14]
3 years ago
15

*brilliant question* Given that a= 2 to the power of M, express the following in terms of A

Mathematics
1 answer:
worty [1.4K]3 years ago
4 0

Answer:

A = 1/2a^4

B= 2/a^2

Step-by-step explanation:

a= 2^(m)

  • A =1/2*16^m= 1/2*(2^m)^4 =1/2 a^4
  • B =2/(∛64)^m = 2/(2^6/3)^m = 2/2^2m = 2/a^2
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Write an equation of the line in slope-intercept form that passes through (-3,5) and is perpendicular to y = -3x- 1
inna [77]

9514 1404 393

Answer:

  y = 1/3x +6

Step-by-step explanation:

The slope of the given line is the coefficient of x, -3. The slope of the perpendicular line will be the opposite reciprocal of that:

  -1/(-3) = 1/3

The point-slope equation is then ...

  y -k = m(x -h) . . . . . for line of slope m through point (h, k)

Here, we have m = 1/3, (h, k) = (-3, 5), so the point-slope equation is ...

  y -5 = 1/3(x +3)

  y = 1/3x + 1 + 5 . . . . eliminate parentheses, add 5

  y = 1/3x +6 . . . . slope-intercept equation of the line

6 0
3 years ago
What is the slope of the line that contains the points (1,-1) and (-2,8)? (Also can you show me how you got it please?)​
ArbitrLikvidat [17]
The answer is -3

You use the formula y1-y2
———
x1-x2
-1 and 8 are your y’s
1 and -2 are your x’s

Your equation should look like this
-1-8 -9
—— = —— = -3
1-(-2) 3

I plugged the y’s and x’s into the formula.
I hope this helps!!
3 0
4 years ago
A consumer charges a 2530.16 purchase on the credit card the card has a daily interest rate of .042% if the consumer piece of th
svp [43]

Answer:

$31.88

Step-by-step explanation:

Given

Consumer charges = 2530.16cents

Consumer charges in dollars = $25.3016

Interest rate per day = 0.042%

Interest gotten per day = 0.042×25.3016

Interest per day = $1.06266

Interest in 30 days = ,30×1.06266

Interest in 30 days = $31.88

3 0
3 years ago
Simplify the expression 2+3i/4+3i <br> Please help
rjkz [21]

Answer:

17+6i

-----------

25

Step-by-step explanation:

2+3i

---------

4+3i


We want to multiply by the complex conjugate of the denominator

4+3i has a complex conjugate of 4-3i

2+3i             4-3i

--------- * --------------

4+3i           4-3i


Lets multiply the numerator

(2+3i) ( 4-3i)

2*4 +4*3i -3i*2 - 3i*3i =

8 +12i -6i - 9i^2

Remember i^2 = -1

8 +6i -9(-1)

17 +6i


Lets multiply the denominator

(4+3i) ( 4-3i)

4*4 +4*3i -3i*4 - 3i*3i =

16 +12i -12i - 9i^2

Remember i^2 = -1

16 -9(-1)

25

Putting numerator over denominator

17+6i

-----------

25

7 0
3 years ago
Find m 135°<br> 125°<br> 55°<br> 100°
kicyunya [14]

Answer:

answer: m = 125

Step-by-step explanation:

parellograms add up to a total of 360 so m = 125 because 125 + 125 + 55 + 55 = 360 Hope this helps!

7 0
3 years ago
Read 2 more answers
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