first, we can find the slope from the equation that is given buy solving the equation for y
3x+2y = 6
2y = 6-3x
y = 3-3/2x
y = -3/2x+3
now that the equation is in slope-intercept form, we can easily see that the slope of the given line is -3/2
perpendicular lines have slopes that are negative reciprocals, so we can just take the negative reciprocal of the slope we have
-3/2 → 3/2 → 2/3
the slope of the perpendicular line is 2/3
hope this helped
Between Greater Than 5 And less than 25
Rule says the sum of two sides must be greater than the third
You get e extremes by subtracting the numbers and the other by adding them
When X=0, the function would be:
<span>f(x) = 4x^3 -20x2 + 24x
0= </span><span>4x^3 -20x2 + 24x ----->divide all by x
</span>x(4x^2 -20x + 24) =0 ------> split -20x into -12x and -8x
x(4x^2 -12x -8x + 24)
x{4x(x-3) - 8(x -3}
x(4x-8) (x-3)
x1= 0
x2= 8/4= 2
x3= 3
I’m assuming the question is what is the price of one mug WITHOUT the sale.
So since the price of 5 mugs is $28.20, we can work out the price of one mug with the sale.
We do this by doing:
$28.20 / 5
Which gives us:
$5.64 per mug during the sale.
To work out the price of a mug without the sale, we simply add on the amount that has been taken off (which we know is $1.75 because the question says so):
$5.64 + $1.75 = $7.39
Therefore we can conclude the price of a mug without a sale is $7.39
And the price of a mug during the sale is $5.64.
I hope this helps!
To prove that segment DE is parallel to segment BC and half its length, Translate ABCDE left 4 units and down 2 units
<h3>What is a transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, rotation, reflection and dilation.</em>
Dilation is the increase or decrease in the size of a figure.
To prove that segment DE is parallel to segment BC and half its length, Translate ABCDE left 4 units and down 2 units.
Find out more on transformation at: brainly.com/question/4289712
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