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3 years ago

Write the prime factorization of 4. Use exponents when appropriate and order the factors from least to greatest

Mathematics

2 answers:

Ulleksa [173]3 years ago

7 0

2 because 4/2 =2 and both are prime numbers

Lubov Fominskaja [6]3 years ago

7 0

2 because of 4/2 equals the letter 3

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How to calculate the distance for graphs?

ollegr [7]

Answer:

$\sqrt{(x1-x2)^{2}+(y1-y2)^{2} }$

Step-by-step explanation:

This is the distance formula for cartesian coordinate systems, or your typical xy graph. If given two points to find the distance between, you can assign '1' or '2' to the points, i.e. (1,1) and (2,2) could be: (1,1) is (x1,y1) and (2,2) is (x2,y2). It doesn't matter which point is 1 or 2. If we were to use those example points in this formula, we would have:

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

We can simplify and come up with:

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

= $\sqrt{2}$

We must remember that square roots can be positive OR negative, HOWEVER, because you are looking for a distance it must be positive $\sqrt{2}$ .

Hope this helped!

4 0

2 years ago

How many 100 are in 132796

kolezko [41]

The answer is. 10,000

8 0

3 years ago

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm. The area of printed material on the po

grin007 [14]

Answer:

Dimensions of printed poster are

length is 32 cm

width is 48 cm

Step-by-step explanation:

Let's assume

length of printed poster is x cm

width of printed poster is y cm

now, we can find area of printed poster

so, area of printed poster is

$=xy$

we are given that area as 1536

so, we can set it to 1536

$xy=1536$

now, we can solve for y

$y=\frac{1536}{x}$

now, we are given

The top and bottom margins of a poster are each 12 cm and the side margins are each 8 cm

so, total area of poster is

$A=(8+x+8)\times (12+y+12)$

$A=(x+16)\times (y+24)$

now, we can plug back y

$A=(x+16)\times (\frac{1536}{x}+24)$

now, we have to minimize A

so, we will find derivative

$A'=\frac{d}{dx}\left(\left(x+16\right)\left(\frac{1536}{x}+24\right)\right)$

we can use product rule

$A'=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

$=\frac{d}{dx}\left(x+16\right)\left(\frac{1536}{x}+24\right)+\frac{d}{dx}\left(\frac{1536}{x}+24\right)\left(x+16\right)$

now, we can simplify it

$A'=-\frac{24576}{x^2}+24$

now, we can set it to 0

and then we can solve for x

$A'=-\frac{24576}{x^2}+24=0$

$-\frac{24576}{x^2}x^2+24x^2=0\cdot \:x^2$

$-24576+24x^2=0$

$x=32,\:x=-32$

Since, x is dimension

and dimension can never be negative

so, we will only consider positive value

$x=32$

now, we can solve for y

$y=\frac{1536}{32}$

$y=48$

so, dimensions of printed poster are

length is 32 cm

width is 48 cm

5 0

3 years ago

Simplify the following<br> a.) 2^7 x 2

In-s [12.5K]

Answer:

256

Step-by-step explanation:

i think it is 256.i hope it was that

5 0

3 years ago

Read 2 more answers

Help me please summer homework

vladimir1956 [14]

86. Is a negative slope because it slants down from left to right.
87. Is positive slope because it slants up from left to right.
88. Is an undefined slope because it is vertical.
89. Is has a slope of zero because it is horizontal.

8 0

2 years ago