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Bond [772]
3 years ago
8

M=7,r=8, t=2 ; mr/t = what

Mathematics
1 answer:
galina1969 [7]3 years ago
4 0

Answer:

28

Step-by-step explanation:

Plug in the corresponding numbers to the corresponding variables. Note that:

m = 7

r = 8

t = 2

mr/t = (7 * 8)/2

(7 * (8/2)) = 7 * 4 = 28

28 is your answer.

~

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Find the equation of a line that passes through (0,0) that is perpendicular to 2x+3y=-6
Dovator [93]

The slope-intercept form of a line:

y=mx+b

m - slope

b - y-intercept

Convert 2x + 3y = -6 to the slope-intercet form:

2x+3y=-6         <em>subtract 2x from both sides</em>

3y=-2x-6         <em>divide both sides by 3</em>

y=-\dfrac{2}{3}x-2

Let k:y=m_1x+b_1 and l:y=m_2x+b_2

l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}

We have m_1=-\dfrac{2}{3}

Therefore

m_2=-\dfrac{1}{-\frac{2}{3}}=\dfrac{3}{2}

We have the equation of a line:

y=\dfrac{3}{2}x+b

Put the coordinates of the point (0, 0) to the equation:

0=\dfrac{3}{2}(0)+b

0=b\to b=0

Answer: \boxed{y=\dfrac{3}{2}x}


8 0
3 years ago
What is the conjugate? See image below! Please help asap
Stolb23 [73]

9514 1404 393

Answer:

  • 2 +3i
  • 8 -i√5
  • 7 +2i
  • 4 +√7

Step-by-step explanation:

The conjugate is found by changing the sign of the square root term.‡ (For this purpose, i = √-1.)

a) the sign of 3i is changed: 2 + 3i

b) the sign of sqrt(-5) is changed: 8 -sqrt(-5) = 8 -i√5

c) the sign of 2i is changed: 7 +2i

d) the sign of sqrt(7) is changed: 4 +√7

_____

‡ Actually, the conjugate of a binomial is formed by changing the sign <em>between</em> terms. The purpose is to allow the product of the binomial and its conjugate to be the difference of squares.

Conventionally, the conjugate of a complex number is the value with the sign of the imaginary part reversed. That is why (-2i+7)* = 7+2i.

4 0
3 years ago
The sum of the reciprocals of two consecutive odd integers is 24/143. find the two integers.
nordsb [41]
Let one integer be x, the consecutive odd integer is x+2
reciprocals are 1/x and 1/(x+2)
1/x +1/(x+2)=24/143
make the denominators the same:
(x+2)/[x(x+2)] +x/[x(x+2)]=24/143
143(2x+2)=24(x)(x+2)
286x+286=24x²+48x
24x²-238x-286=0
use the quadratic formula: x=22 this doesn't work because 22 is not an odd number.
or x=-2.1666666666 (this is not an integer)

weird.
4 0
3 years ago
The output is the cube of the input
Murrr4er [49]
<span>1.)the output is half of the input.
2.)the output is one more than twice the input.
3.)the output is the cube if the input.
4.)the output is six times the input.</span>
6 0
3 years ago
What is the sum of the square root of 100<br> a 1000<br> b 100<br> c 10,000<br> d 10
Natasha2012 [34]

Answer: D The square root of 100 is 10. Or,

√100 = 10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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