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When the side = sqrt(2) in

the diagonal forms the hypotenuse of a right triangle and two sides of the square  are the legs.....therefore.....by the Pythagorean Theorem,

sqrt [ (sqrt(2)^2) + ( sqrt(2))^2 ] =  sqrt[2 + 2] = sqrt(4)  = 2  = diagonal length

2-2+1

2-2=0

0+1=1

answer=1

See my answer, here :  http://web2.0calc.com/questions/scale-factor_2#r1

(2z+2)(z^5-3)+6=0  simplify the left side

2z^6 + 2z^5 - 6z - 6 + 6 = 0

2z^6 + 2z^5 - 6z  = 0     divide through by 2

z^6 + z^5 - 3z = 0  factor

z(z^5 + z^4 - 3)  = 0       z = 0 is one solution

To find the other...we need to solve this

z^5 + z^4 - 3 = 0      this would be a little difficult by hand.......WolframAlpha gives one "real"  solution of :  z ≈ 1.09404

7.85-2.15c=20.75            c=-6

No, the scale factor is 2/5, or 40%

5 in * 40%  = 2 in  = the new width

( x^2+5)(3+x^4 )( 100x^2−10)( 100x^2+10)=0

Believe it, or not.....this has  only two "real" solutions....and they come from this part of the equation:

100x^2 - 10   = 0      divide through by 10

10x^2  - 1  = 0        add1 to each side

10x^2  - 1     divide both sides by 10

x^2  = 1/10      take the pos/neg roots

x = (pos/neg)[1/sqrt(10)]

The meaning of Life is 42

h(t)=-5t^2+7t+6

Assuming the water height = 0, we have

0 = -5t^2 + 7t + 6      factor this

0 = (-5t -3)(t - 2)      setting each factor to 0, we have that t = -3/5s [reject this answer] and t = 2 seconds [this is the correct answer]

The diver hits the water after 2 seconds

12 is the common denominator of 48, 60 and 72

She can make 12 groups  consisting  of 4 flowers of the first type, 5 of the second and 6 of the third......so each group will have 15 flowers

h(t)=-5t^2+7t+6

At t = 0, the diver is still on the springboard and the first two terms = 0.....so.......the springboard [and diver] are 6m above the water

x-2*3/2+1.2-1.3=21  simplify the left side

x - 3 - 0.1  = 21

x - 3.1  = 21    add 6.1 to both sides

x = 24.1

one

4 - 2.37   =  1.63cm longer

Assuming thats a subtraction problem.-25.89

This is a fifth grade math question. You could simply put it in the site calc for an answer.

The curious question is how did you persuade a math person, such as you describe your husband, to marry you? I ask because it most men will not marry someone whose intelligence quotient is more than a standard deviation below their own. Certain physical attributes and social arrangements may compel a marriage but the relationship usually doesn’t last, or is miserable.

It is also extremely rare to find a man married to a woman whose IQ is more than a standard deviation above their own. The men are intimidated by this and women are very put off by comparatively stupid husbands.

If you care to answer, this will help with my sociological studies and may be a basis for a thesis.

BTW the answer to your question is 14.83.

OK I see CPhill already answered your question.

What so you think CPhill? Any thoughts?

Only on 2+2 and 2*2

Yes....-9  is an integer

-sqrt(20)  =  - sqrt(4)*sqrt(5)  = -2sqrt(5)

14.83 is the answer

Draw a number line with integers from 0 to 7.......put an open circle at 4 and a solid "dot" at 7

A particular shade of paint is made by mixing 5 parts red paint with 7 parts blue paint. To make this shade, Shannon mixed 9 quarts of blue paint with 6 quarts of red paint. Did Shannon mix the correct shade? Complete the explanation

7/12 of the mixture should be blue......but, in her mixture, 9/15  = 3/5 of the mixture is blue.....

And 7/12   is not equal to 3/5......so....the shade is not correct

15 is p

15 is p