Rationalize the denominator of the fraction and enter the new denominator below.8/2-√12

Answers

Answer 1

Answer: $(8)/(2-√(12))=(8)/(2-√(4\cdot3))=(8)/(2-2\sqrt3)=(8)/(2(1-\sqrt3))=(4)/(1-\sqrt3)\n\n(4)/(1-\sqrt3)\cdot(1+\sqrt3)/(1+\sqrt3)=(4(1+\sqrt3))/(1^2-(\sqrt3)^2)=(4(1+\sqrt3))/(1-3)=(4(1+\sqrt3))/(-2)=-2(1+\sqrt3)}\n\n=-2-2\sqrt3$

$if\ (8)/(2)-√(12)=4-√(4\cdot3)=4-2\sqrt3$

Answer 2

Answer: $(8)/(2-√(12))\n (8(2+√(12)))/(4-12)=\n (8(2+√(12)))/(-8)=\n -(2+√(12)})=\n -2-√(12)=\n-2-2\sqrt3$

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The graph of y=4x^2+16x-18 has an axis of symmetry at x=___

The two points that lie on a line with an undefined slope are a) (-2,-3) and (2,-6) b) (-2,-3) and (-6, 2 c) (-2,-3) and (2,0) d) (-2,-3 )and (-2,6)

Answers

When you know 2 points on a line, the slope of the line is

(difference in y-values) / (difference in x-values).

The slope of the line that includes the points (-2,3) and (-2,6) ...
choice-d ... is
(6 - 3) / (-2 - -2) = 3 / 0 .

Division by zero is 'undefined'.

(On a graph, these two points are on a vertical line.)

The slope of the line that includes the points (-2,3) and (-2,6) ...
choice-d ... is
(6 - 3) / (-2 - -2) = 3 / 0 .

$(2a + 4b)/(2b) = 3.9 \n (a)/(b) = what$
with full explanation please

Answers

Answer: 1.9

Work Shown:

$(2a+4b)/(2b) = 3.9\n\n(2a)/(2b)+(4b)/(2b) = 3.9\n\n(a)/(b)+2 = 3.9\n\n(a)/(b) = 3.9-2\n\n(a)/(b) = 1.9\n\n$

3. Rewrite the expression as simply as you can:
3x + 11y - 2x - 4y

Answers

Answer:

x+7y

Step-by-step explanation:

First off, lets split the question into both x and y.

3x - 2x for the x

11y - 4y for the y

You can solve both of them to get x + 7y

3x - 2x = x

11y - 4y = 7y

Then, add them back up and get x + 7y

Answer:

x+7y

Step-by-step explanation:

3x + 11y -2x - 4y

(3x) + (11y) + (-2x) + (-4y)

(3x) + (-2x) = x

(11y) + (-4y) = 7y

3x + 11y -2x - 4y = x + 7y

How to change 4.1 into a decimal?

Answers

Well you can't change 4.1 into a decimal because it's already a decimal with a decimal point included in it, so there's really no point of asking that question when you've already done it yourself! Just wanted to notify you on that point.

You can't change it to a decimal because it is already a decimal.

A gym offers kickboxing classes 22 of the 30 days in October. What decimal is equivalent to the fraction of days in October that classes were offered at the gym?

Answers

0.290332258 i’m not sure what you want it rounded to.

explaination:
figure out how many days that is (9) then divide that by how many days in october (31)

Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.

Answers

Isosceles means that In a triangle any two sides are equal in length.. As it is a right angled triangle, so its two sides are of 1 unit length and there is one hypotenuse length of which is to be found.. So,H2=12+12 H=2√ Hypotenuse Length = 2√ units.. hope this helps

right triange
hypotonuse (long side, oposite right angle)
and 2 legs
relationship between them is
a and b are legs
c=hypotnuse legnth
a^2+b^2=c^2

so
if legs are 1
1^2+1^1=c^2
1+1=c^2
2=c^2
sqrt both sides
√2=c

hypotnuse=√2 units

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