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3 years ago

Which are solutions to the equation below?

Mathematics

2 answers:

pishuonlain [190]3 years ago

5 0

X^2 + 18 = -9x
x^2 +9x +18 = 0
(x+3) (x+6) =0

So x = -3 and x =-6
Answers: E and F

mojhsa [17]3 years ago

3 0

The answers would be E and F -6 and -3

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Percy use hose to wash pig sty for 11 minutes. The hose uses 7 liters of water every minute how many liters did percy pig use to

kykrilka [37]

Answer:

Percy used 77 liters to wash

Step-by-step explanation:

This question can be solved using a rule of three.

Each minute of washing costs 7 liters.

She washed for 11 minutes.

1 minute - 7 liters

11 minutes - x liters

x = 7*11 = 77

Percy used 77 liters to wash

6 0

2 years ago

MARSVECTORCALC6 3.4.020. My Notes A rectangular box with no top is to have a surface area of 64 m2. Find the dimensions (in m) t

ioda

Answer:

We would have

$l =w =\frac{8\sqrt{3}}{3} \\h = \frac{8\sqrt{3}}{6}$

where " l " is length, " w" is width and "h" is height.

Step-by-step explanation:

Step 1

Remember that

Surface area for a box with no top = $lw+2lh+2wh = 64$

where " l " is length, " w" is width and "h" is height.

Step 2.

Remember as well that

Volume of the box = $l*w*h$

Step 3

We can now use lagrange multipliers. Lets say,

$F(l,w,h) = lwh$

and

$g(l,w,h) = lw+2lh+2wh = 64$

By the lagrange multipliers method we know that

$\nabla F = \lambda \nabla g$

Step 4

Remember that

$\nabla F = (wh,lh,lw)$

and

$\nabla g = (w+2h,l+2h , 2w+2l)$

So basically you will have the system of equations

$wh = \lambda (w+2h)\\lh = \lambda (l+2h)\\lw = \lambda (2w+2l)$

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

$lwh = l\lambda (w+2h)\\\\lwh = w\lambda (l+2h)\\\\lwh = h\lambda (2w+2l)$

Then you would get

$l\lambda (w+2h) = w\lambda (l+2h) = h\lambda (2w+2l)$

You can get rid of $\lambda$ from these equations and you would get

$lw+2lh = lw+2wh = 2wh+2lh$

And from those equations you would get

$l = w =2h$

Now remember the original equation

$lw+2lh+2wh = 64$

If we plug in what we just got, we would have

$l^{2} + l^{2} + l^2 = 64 \\3l^{2} = 64 \\l = w = \frac{8\sqrt{3} }{3} \\h = \frac{8\sqrt{3} }{6}$

7 0

3 years ago

Find the value of x m<2 = 9x - 1

jasenka [17]

Answer: x=9

Step-by-step explanation:

The bottom triangle that has a 40° is an isosceles triangle, therefore the other angle at the bottom right is also 40°. This leaves the top angle to be 100°.

180=40+40+x

180=80+x

x=100

Now, to find ∠2, you can tell it is a supplementary angle. Therefore, the 2 angles add up to 180°

180-100=∠2

80°=∠2

The problem states that ∠2 is 9x-1. We know that ∠2 is 80°. We can solve for x.

80=9x-1

81=9x

x=9

8 0

2 years ago

-1.32+x=1 -1 -1 Not sure about this??

Ipatiy [6.2K]

Answer:

x=2.32

Step-by-step explanation:

-1.32+x=1

add 1.32 to both sides

1.32 cancels itself out

so you are left with x=2.32

7 0

2 years ago

Which of the following is correct? degrees

yarga [219]

Answer:

angle A + angle B = 180 degrees is correct

Step-by-step explanation:

5 0

2 years ago