If x=square root of 6 and y^2=12 then 4/xy=

Answers

Answer 1

Answer: y² = 12
y = 2√3

x = √6

Now, 4 /xy
= 4/2√3√6
= 2 / 3√2
= √2/3

In short, Your Answer would be √2 / 3

Hope this helps!

Answer 2

Answer: x = root(6)
y = root(12)
4/(root(6)*root(12)) = 4/root(72) multiply top and bottom by root(72)
4root(72)/72 =root(72)/18
root(72) = root(6^2 * 2) = 6root(2)
6root(2)/18 = root(2)/3
final answer root(2)/3

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Hey guys! How do I complete this question? Do let me know ASAP thank you!!

Answers

Answer:

The answer is 9

2^t =2⁹ so t=9

Quadratic Equations: ax^2+bx+c=0Factor first mult. A and C then use the factors from the answer to add to B
1.) 2b^2+10b+12
2.) 3g^2+8g+4
3.) 4x^2+4x-3
4.) 8b^2-5b-10
5.) 6m^2+7m-3
6.) 10d^2+17d-20
Please Answer ASAP Show ALL WORK

Answers

quadratic equaiton is
x= $(-b- √(b^2-4ac) )/(2a)$ or $(-b+ √(b^2-4ac) )/(2a)$

just subsitute and simplify
I will only do one in detail since it takes some time

so first one2b^2+10b+12
a=2
b=10
c=12
subsitute
x= $(-10- √(10^2-4(2)(12)) )/(2(2))$ or
$(-10+ √(10^2-4(2)(12)) )/(2(2))$
pemdas

$(-10- √(10^2-4(2)(12)) )/(2(2))$
do parenthasees or inside exponents
(10^2-4(2)(12) =(100-96)=4
square root of 4=2
(-10-2)/(2 times 2)=-12/4=-3
if -10+square root then
(-10+2)/(2 times 2)=-8/4=-2
answer is
b=-3 or -2

second one
answer is g=-2 or -2/3

3rd
x=-3/2 or 1/2

4th
b= $(5- √(345) )/(16)$ or
$(5+ √(345) )/(16)$

5th
m=-3/2 or 1/3

6th
d=-5/2 or 4/5

Using a directrix of y = −3 and a focus of (2, 1), what quadratic function is created

Answers

5x+3 or (5,3) I think so

Distance from a point (x,y) on the graph of the function from the focus = distance from this point to the directrix. So we have

sqrt [( y-1^2 + (x - 2)^2] = y - (-3)

(y - 1)^2 + (x - 2)^2 = (y + 3)^2

y^2 - 2y + 1 + x^2 - 4x + 4 = y^2 + 6y + 9

8y = x^2 - 4x - 4

y = x^2/7 - x/2 - 1/2 Answer

What is the perimeter of a rhombus-shaped street sign with a 35-cm side? A. 280 cm
B. 140 cm
C. 1,225 cm
D. 70 cm

Answers

A rhombus has a total of 4 sides. All sides are equal. The formula of getting the perimeter of a rhombus is:
Perimeter = 4 * S
Perimeter = 4 * 35 cm
Perimeter = 140 cm.

So the perimeter of a rhombus-shaped street sign that has a 35-cm side is equal to (B) 140 cm.

the minute hand of a clock is 6 inches long and moves from 3 o'clock to 5 o'clock. how far does the tip of the minute hand move? express your answer round to two decimal places

Answers

$from\ 3\ o'clock\ to\ 5\ o'clock\ is\ 2\ hours\n\n12\ hours\ \ \ \rightarrow\ \ \ 360^0\n2\ hours\ \ \ \ \rightarrow\ \ \ \ \alpha \n\n \alpha = (2\cdot360^0)/(12) =60^0\n\nx= (60^0)/(360^0) \cdot 2 \pi\cdot 6\ [in]= (1)/(6) \cdot12 \pi \ [in]=2 \pi \ [in]\approx2\cdot3.14\ [in]=6.28\ [in]$