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2 years ago

EvaluateTHANK YOU!!!

Mathematics

1 answer:

cestrela7 [59]2 years ago

5 0

Answer:

Step-by-step explanation:

Work is shown in the picture below. I split the work of solving the numerator and denominator apart so it's easier to understand.

The most confusing part may be solving the $\frac{2}{\frac{1}{3} }$ . However, it's basically asking you to divide 2 by $\frac{1}{3}$ . Remember that in order to divide something in fraction form, you the "flip" the numerator and denominator of the divisor, meaning the numerator now becomes the denominator and the denominator now becomes the numerator. This results in $\frac{2}{1}$ · $\frac{3}{1}$ part - notice how the $\frac{1}{3}$ was flipped to $\frac{3}{1}$ .

Please let me know if you have any questions!

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Y= 1/2x+ 2 to make the x the subject.

timofeeve [1]

Answer:

$x=2y-4$

Step-by-step explanation:

$y=\frac{1}{2} x+2$

"To make x the subject" means to have the equation with all the terms in x on one side. As of now, y is the subject of the equation.

You start by subtracting 2 from both sides, you should get the following.

$y-2=\frac{1}{2} x$

Then you multiply by 2 from both sides, you should end up with the following.

$2(y-2)=x$

Therefore, you get the following.

$x=2(y-2)$

Finally, you distribute and get the answer.

$x=2y-4$

5 0

2 years ago

Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)

tigry1 [53]

The vector v (-6, 6, -5) points in the direction of itself, so we start there.

We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.

The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is

r (t ) = p + t v

r (t ) = (-4, 5, 2) + t (-6, 6, -5)

r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )

To get the parametric equations, simply take out the components:

x (t ) = -4 - 6t

y (t ) = 5 + 6t

z (t ) = 2 - 5t

4 0

3 years ago

Which measurement is equivalent to 3 tablespoon or ½ fluid ounces?

irinina [24]

Answer: