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3 years ago

What is an equation of the line with slope 2 that goes through point (3/2, 6)

1 answer:

4 0

The answers are in slope-intercept form, so you can see that the slope (coefficient of x) is only correct for choices b and c.

When you substitute x=3/2 into those equations, you find that b gives y=6 (correct) and c gives y=0 (incorrect).

The appropriate choice is ...

... b.) y = 2x+3

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What is the equation of the line perpendicular to 3x+y=6 that passes through the point (0,8)

Alekssandra [29.7K]

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$3x + y = 6$

$y = - 3x + 6$

The coefficient of x is the slope of the line , So the slope of the above equation is -3 .

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Remember from now on ,

Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .

Thus ;

$( - 3) \times (m) = - 1$

m is the slope of the line which we want.

$- 3m = - 1$

Negatives simplifies

$3m = 1$

Divide sides by 3

$\frac{3m}{3} = \frac{1}{3} \\$

$m = \frac{1}{3} \\$

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We have following equation to find the point-slope form of the linear functions :

$y - y(0) = m(x - x(0))$

x(0) and y(0) are the coordinates of the point which the line passed through.

$y - 8 = \frac{1}{3} (x - 0) \\$

$y - 8 = \frac{1}{3} x \\$

Add sides 8

$y = \frac{1}{3} x + 8 \\$

Done....

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2 years ago

HELP ME PLEASE!!!!

horsena [70]

$2\sqrt5+3\sqrt5-\sqrt5=(2+3-1)\sqrt5=4\sqrt5\\\\\text{Answer:}\ 4\sqrt5$
Look at the square root like "x", then
$2\sqrt5+3\sqrt5-\sqrt5=/2x+3x-x=4x/=4\sqrt5$

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3 years ago

Help Calculus please help

Tamiku [17]

This problem is related to the concept composite function

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3 years ago

A sweater is on sale for 20%

bagirrra123 [75]

$72 To find out how much the sweater is without 20% off, you need to do this formula:

$60 x 20%

The answer is $12.

So, 20% of $60 is $12.

Now, you need to add 60 and 12 together to get the original sale price.

60 + 12

The answer is 72.

So the original price for the sweater is <span>72 dollars.</span>

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3 years ago

DEAR SIRS AND MISSES, PLEASE HELP ME!

GaryK [48]

Volume of a cone= $\pi$ r^2*h/3
$\pi$ *3^2*6/3=56.55

volume fo a sphere = 4/3 $\pi$ r^3
4/3*pi*1.5^3=14.14

56.55-14.14=42.41

4 0

2 years ago