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3 years ago

ASAP PLEASE!!! Simplify: 8 √y^2

Mathematics

2 answers:

ArbitrLikvidat [17]3 years ago

5 0

Answer:

4√ y

.......................

Angelina_Jolie [31]3 years ago

3 0

4√ y

That should be the right answer

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A piece of wire of length 7070 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the

lyudmila [28]

Answer:

a.x=39.2

b.Use whole wire as a circle

Step-by-step explanation:

We are given that

Length of piece of wire=70 units

Let length of wire used to make a square =x units

Length of wire used in circle=70- x

Side of square= $\frac{perimeter\;of\;square}{4}=\frac{x}{4}$

Circumference of circle= $2\pi r$

$70-x=2\pi r$

$r=\frac{70-x}{2\pi}$

Combined area of circle and square,A= $(\frac{x}{4})^2+\pi(\frac{70-x}{2\pi})^2$

Using the formula

Area of circle= $\pi r^2$

Area of square= $(side)^2$

a. $A=\frac{x^2}{16}+\frac{4900+x^2-140x}{4\pi}$

Differentiate w.r.t x

$\frac{dA}{dx}=\frac{x}{8}+\frac{2x-140}{4\pi}$

$\frac{dA}{dx}=0$

$\frac{x}{8}+\frac{2x-140}{4\pi}=0$

$\frac{\pi x+4x-280}{4\pi}=0$

$\pi x+4x-280=0$

$x(\pi+4)=280$

$x=\frac{280}{\pi+4}$

x=39.2

Again differentiate w.r.t x

$\frac{d^2A}{dx^2}=\frac{1}{8}+\frac{1}{2\pi}$ >0

Hence, the combined area of circle and the square is minimum at x=39.2

b.When the wire is not cut and whole wire used as a circle . Then, combined area is maximum.

3 0

3 years ago

4 friends equally share half of a pizza how much of the whole pizza does each friend get

Sedbober [7]

1/2 / 4

The formula = keep, change, flip

Keep 1/2
Change the sign: / to ×
Flip 4 to 1/4

That equals 1/2 × 1/4 = 1/16

Answer = 1/16

Hope this helped☺☺

5 0

3 years ago

Read 2 more answers

Find the slope of the line through the points (−3, 6) and (2, 6).

Elden [556K]

Answer:

There wouldn't be a slope. It would be 0/5

Step-by-step explanation:

$\frac{6-6}{2+3}$

6 - 6 = 0

2 + 3 = 5

0/5 isn't a slope.

7 0

3 years ago

Read 2 more answers

Which statement correctly describes the end behavior of y = 3x8 + 5x2 +2x - 1

zmey [24]

Answer:

C) The graph rises to the left and rises to the right.

Step-by-step explanation:

The highest expone tis even and it's coefficient is positive

therefor

The graph rises to the left and rises to the right.

5 0

2 years ago

What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)? 0 5 10 15

Elanso [62]

Answer: Second option is correct.

Explanation:

Since we have given that

$f(x)=3x^4+2x^3-x^2+2x-19$

And $g(x)=x+2$

To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.

So,

Here, we have,

$x+2=0\\\\x=-2$

So, we will find f(-2) which will give us the required remainder,

$f(-2)=3(-2)^4+2(-2)^3-(-2)^2+2(-2)-19\\\\f(-2)=(3\times 16)-(2\times 8)- 4-4-19\\\\f(-2)=48-16-36-4-19\\\\f(-2)=5$

Hence, Second option is correct.

7 0

3 years ago