Simplify 2 over squareroot 5

Answers

Answer 1

Answer: Square Root cannot be in the Denominator, therefore:

2 / √5
2 × √5 / √5 × √5
2√5 / 5

Hope this helps!

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Which values, when placed in the box, would result in a system of equations with no solution? Check all that apply.y = –2x + 4

6x + 3y =

A: –12

B: –4

C: 0

D: 4

E: 12

Answers

For this case we have the following system of equations:

Rewriting equation 1 we have:

Therefore, the equivalent system is:

The system will have no solution, if we write equation 2 as a linear combination of equation 1.

Therefore, since both lines have the same slope, they are parallel.

Parallel lines do not intersect when they have different cut points.

Therefore, there is no solution for:

-12, -4, 0, 4

The system has inifinites solutions for:

This is because the lines intersect at all points in the domain.

Answer:

The values, when placed in the box, would result in a system of equations with no solution are:

A: -12

B: -4

C: 0

D: 4

Answer:

Thus, option (a), (b) , (c) , (d) are correct.

The system will have no solution for all values except 12.

Step-by-step explanation:

Given a system of equation y = –2x + 4 and 6x + 3y = ?

We have to check for which value the '?' would result in a system of equations with no solution.

Consider a system of equation $a_1x+b_1y+c_1=0 \n\na_2x+b_2y+c_2=0$

For the system to have no solution the condition is,

$(a_1)/(a_2)=(b_1)/(b_2)\neq (c_1)/(c_2)$

For the given system of equation ,

Let unknown quantity be v.

y = –2x + 4 ⇒ 2x +y - 4 = 0

and 6x + 3y = v ⇒ 6x + 3y - v =0

On comparing, we get,

$a_1=2 , b_1=1,c_1=-4\n\n\a_2=6,b_2=3,c_3=-v$

Substitute the values in condition for no solution , we get ,

$(2)/(6)=(1)/(3)\neq (-4)/(-v)$

Consider second and third ratio, we get,

$(1)/(3)\neq (-4)/(-v)$

Solve for v , we get,

$(1)/(3)\neq (-4)/(-v) \n\n \Rightarrow v \neq 12$

Thus, for all values v except v = 12

The system will have no solution

at v = 12 the system will have infinite many solution.

Thus, option (a), (b) , (c) , (d) are correct.

Julie's cell phone is 9 centimeters long. How many millimeters long is her cell phone?

Answers

julie's cell phone is 90 millimeters long.

It is 90 millimeters. ^_^

Jason has decided to sell one of his baseball cards. The card is valued at $51.00. The store is only offering Jason $29.00. How much less is Jason being offered for his card than what it is valued at?*

Answers

well, just take the difference, 51-29, and 22 is how much less his card it being valued at. Or you can do 29-55, which would be -22, showing the amount and that it's valued less.

Simplify. 5x^3/(7x^3+x^4)5/7+x; where x is not equal to 0, -7
5/7+x; where x is not equal to -7
5/7x; where x is not equal to 0
5/7

Answers

Hello,

$(5 x^(3) )/(7 x^(3) + x^(4) ) = (5 x^(3) )/(x^(3)(7+x) )=\frac{5} {7+x}$

Answer Almost A with parenthesis

5/(7+x)

Find the distance between each pair of points.a. √58

b. √7

c. 5

d. √5

Answers

Answer:

Distance between the points (-3,1) and (1, -2),

$\sqrt{ {(1 + 3)}^(2) + {( - 2 - 1)}^(2) }$

$= \sqrt{ {(4)}^(2) + {( - 3)}^(2) }$

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Option C

simplify complex fraction

3/4 + 1/3/1/6 + 3/4

Answers

= (3/4 + 1/3)/(1/6 + 3/4)
= (3/4 + 1/3)/(1/6 + 3/4)
Multiply numerator and denoiminator by 12
=12(3/4+1/3) / 12(1/6 + 3/4)
= (3*3 + 1*4) / (2 + 3*3)
= 13/11

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