factor the expression

Answer:

its 4xy and 12x

( options B and C)

hope that helped :)

Answer:

its 4xy and 12x

Step-by-step explanation:

Answer:

C. d = 10t + 10

Step-by-step explanation:

If d represents the distance, you know that the equation on the other side has to have +10 included in it because this was stated in the problem (he has traveled 10 miles). C is the only option with +10, but if you'd like a further explanation on the 10t part... by the end of his trip, he has traveled 30 miles total.  Subtract the 10 he initially traveled before arriving at the gas station, and he has traveled 20 miles in two hours. 20 (miles) / 2 (hours) = 10, so after the gas station, he traveled at an average speed of 10 mph. We now know that he traveled 10 miles, plus another 10 miles for every additional hour (t) he travels after that. This gives us d = 10t + 10.

Answer:

18.9 miles

Step-by-step explanation:

11.90 + 7.9 = 18.9

Answer:

120

Step-by-step explanation:

you multiply base times height of the rectangle to get 96 then you do 1/2 bh for the triangle to get 24 and then you add them to get 120

The area of the irregular polygon is 120ft^2

We are given that;

The figure with triangle on top and rectangular base

Height of triangle=4ft

Base* height= 12*8

Now,

Area of triangle= 1/2 * base * height

=1/2 * 12 * 4

=24

Area of rectangle= 12 * 8

=96

Total area= 24+96

=120

Therefore, by the given polygon answer will be 120ft^2.

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Answer:

undefined

Step-by-step explanation:

We can find the slope of the line using

m = (y2-y1)/(x2-x1)

    = (-2 - -10)/(-1 - -1)

     = (-2+10)/(-1+1)

     = 8/0

When we have a 0 in the denominator the slope is undefined

Answer:

= 70f - 9g

Step-by-step explanation:

1. Remove parentheses

2. Multiply the numbers

3. Multiply the numbers

Answer:

-1

Step-by-step explanation:

Answer:

2 2/5

Step-by-step explanation:

-1 3/5 ÷ -2/3

First change the mixed number to an improper fraction

1 3/5 = (5*1 +3)/5 = 8/5

-8/5 ÷ -2/3

Copy dot flip

-8/5 * -3/2

Multiply the numerators then the denominators

24/10

Dividing the top and bottom by 2

12/5

Changing this back to a mixed number

10/5 +2/5

2 + 2/5

2 2/5

Pls mark Brainliest.

Answer:

12/5 or 2 2/5 is the answer.

Step-by-step explanation:

-1 3/5 divided by -2/3.

First, we must turn the mixed fraction into an improper fraction so we are able to perform operations without the hassle of an extra whole.

-1 3/5 = -8/5

Now let's divide. Division is the same as multiplying the dividend by the reciprocal of the divisor. The divisor is the latter, or the number we are dividing the other number by, i.e. -2/3.

The reciprocal of -2/3 is -3/2.

Now let's multiply.

-8/5 * -3/2 = 24/10, which simplifies into 12/5.

12/5 or 2 2/5 is the answer.

Answer:

8x(2x - 1)

Step-by-step explanation:

Step 1: Write expression

16x² - 8x

Step 2: Find GCF

We can factor and 8 out of both terms and also an x out of both terms.

GCF = 8x

Step 3: Factor

8x(2x - 1)

To factor the expression [tex]16x^2[/tex] - 8x, the greatest common factor is 8x, resulting in the factored expression 8x(2x - 1).

To factor the expression [tex]16x^2[/tex] - 8x by taking out the greatest common factor (GCF), we first identify the largest factor that divides both coefficients. Here, 8 is the GCF of 16 and 8, and since both terms also include a factor of x, the GCF is 8x. We then divide each term by 8x to find the factored expression:

[tex]16x^2[/tex] ÷ 8x = 2x

-8x ÷ 8x = -1

So, the expression factored by its greatest common factor is 8x(2x - 1).

Answer:

result if 3 would be 3 I think I hope it helps have a good day

Answer:

7/11

Step-by-step explanation:

Answer:

X = 76*4

= 304 cups of food

Step-by-step explanation:

Given:

So Let X is the number of cups of food that elephants eat per day, we have the equation:

X = 76*4

= 304 cups of food

Hope it will find you well.

Answer:

It's a 19 percent increase.

Step-by-step explanation:

Divide 97/120, then multiply it by 100. After that, you can subtract the answer by 100. The answer will be negative, so make it positive.

Answer:

b because it cost u more for a certain distance

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Brad average typing rate in words per minute is 21

1260 divided by 60 = 21

(In case you meant 30 minutes)

1260 divided by 30 = 42

Answer:

m = -7

Step-by-step explanation:

1) expand: 2/9m-16/9=2/3m+4/3

2) add 16/9 to both sides:

2/9m-16/9+16/9=2/3m+4/3+16/9

3) simplify: 2/9m=28/9+2/3m

4) subtract 2/3 m from both sides:

2/9m-2/3m= 28/9+2/3m-2/3m

5) simplify: -4/9m=28/9

6) m=-7

The side length, s, of the resulting polyhedron is (20√3)/3 cm.

To find the value of s, the side length of the resulting polyhedron, we can analyze the original cube's corners and the pyramids that Donatello slices off. Each corner of the cube contributes one-eighth of a pyramid to the polyhedron. These pyramids are similar, and their base is an equilateral triangle with side length s/2, and the height is s/2.

Considering one of these pyramids, we can use the Pythagorean theorem to find its slant height (the side length of the original cube):

(s/2)^2 + (s/2)^2 + (s/2)^2 = 10^2

Simplifying:

3/4 * s^2 = 100

Now, solve for s:

s^2 = (4/3) * 100

s^2 = 400/3

s = √(400/3)

s = 20/√3

To rationalize the denominator, multiply by (√3/√3):

s = (20/√3) * (√3/√3)

s = (20√3)/3

So, the side length s of the resulting polyhedron is (20√3)/3 cm.

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The side length of the resulting polyhedron after slicing off corner pyramids is  [tex]\( \frac{10}{3} \).[/tex]

Of course, here's the solution in LaTeX:

To find the side length ( s ), we can break down the process step by step:

1. Start with a cube of side length ( 10 ).

2. Slice off a pyramid from each corner.

Since all the edges of the resulting polyhedron have the same length, let's find the side length of the pyramid. Consider one of the corner pyramids:

- It has a square base, with side length ( x , which is also equal to the side length of the cube.

- It has four congruent triangular faces.

If we draw a cross-section through the pyramid and the cube, we'll see that the cross-section of the pyramid is an isosceles right triangle with legs of length ( x ).

Given this, we can use Pythagoras' theorem to find the height of the pyramid. The hypotenuse of the right triangle is ( x ), and the legs are each  x ). So, we have:

[tex]\[ x^2 = x^2 + x^2 + h^2 \][/tex]

Solving for \( h \), the height of the pyramid, we get:

[tex]\[ h = \sqrt{x^2 - x^2} = \sqrt{x^2 - \left(\frac{x}{\sqrt{2}}\right)^2} \]\[ h = \sqrt{x^2 - \frac{x^2}{2}} = \sqrt{\frac{x^2}{2}} = \frac{x}{\sqrt{2}} \][/tex]

Now, we know that the height of the pyramid is [tex]\( \frac{x}{\sqrt{2}} \).[/tex]

When we remove the corner pyramid, the remaining shape is a pentagonal pyramid with a square base. This means the side length of the square base of the remaining polyhedron is [tex]\( 10 - 2x \).[/tex]

The height of this pentagonal pyramid is the same as the height of the corner pyramid, which is  [tex]\( \frac{x}{\sqrt{2}} \).[/tex]

So, we can set up an equation for the height of the remaining pyramid:

[tex]\[ 10 - 2x = \sqrt{2} \cdot \frac{x}{\sqrt{2}} \]\[ 10 - 2x = x \][/tex]

Solving for \( x \):

[tex]\[ 10 = 3x \]\[ x = \frac{10}{3} \][/tex]

So, the side length  [tex]\( s \) of the polyhedron after slicing off the corner pyramids is \( \boxed{\frac{10}{3}} \).[/tex]

Answer:

The required vector parametric equation is given as:

r(t) = <3cost, 3sint>

For 0 ≤ t ≤ 2π

Step-by-step explanation:

Given that

f(x, y) = <2y, -sin(y)>

Since C is a cirlce centered at the origin (0, 0), with radius r = 3, it takes the form

(x - 0)² + (y - 0)² = r²

Which is

x² + y² = 9

Because

cos²β + sin²β = 1

and we want to find a vector parametric equations r(t) for the circle C that starts at the point (3, 0), we can write

x = 3cosβ

y = 3sinβ

So that

x² + y² = 3²cos²β + 3²sin²β

= 9(cos²β + sin²β) = 9

That is

x² + y² = 9

The vector parametric equation r(t) is therefore given as

r(t) = <x(t), y(t)>

= <3cost, 3sint>

For 0 ≤ t ≤ 2π

The vector parametric equation for the circle C that starts at the point (3,0) and travels around the circle once counterclockwise for 0≤t≤2π is:

[tex]r(t) = <3cost, 3sint>[/tex]

We have

[tex]f(x, y) = <2y, -sin(y)>[/tex]

As C is a circle centered at the origin (0, 0), with radius r = 3,

So, equation is:

[tex](x - 0)^2 + (y - 0)^2 = r^2[/tex]

[tex]x^2+ y^2 = 9[/tex]

 As, cos²β + sin²β = 1

 Take ,

x = 3cosβ

y = 3sinβ

Then

[tex]x^2 + y^2 = 3^2cos^2\beta + 3^2sin^2\beta\\= 9(cos^2\beta + sin^2\beta) \\= 9\\x^2 + y^2 = 9[/tex]

The vector parametric equation r(t) is therefore given as

[tex]r(t) = <x(t), y(t)>[/tex]

[tex]= <3cost, 3sint>[/tex]

For 0 ≤ t ≤ 2π

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Answer:

16 ^3/4 = 8

Step-by-step explanation:

distribute the exponential fraction.

Answer:

r=7

Step-by-step explanation:

-30=12-6r

We move all terms to the left:

-30-(12-6r)=0

We add all the numbers together, and all the variables

-(-6r+12)-30=0

We get rid of parentheses

6r-12-30=0

We add all the numbers together, and all the variables

6r-42=0

We move all terms containing r to the left, all other terms to the right

6r=42

r=42/6

r=7

Answer:

-3 = r OR r = -3

Step-by-step explanation:

-30 = 12 - 6r

30+12 = -18   12+12 = (cancels out left with just 6r)

-18/6r = -3

-3 = r

Hope this helped :)

Step-by-step explanation:

if a = 10

a² = 10²= 100

Hope it will help :)

Answer:

a^2 = 100

a * 2 = 20

Step-by-step explanation:

If a = 10 , than a2 =

a^2 = 100 because 10 ^2 = 10 * 10 = 100

a * 2 = 10 * 2 = 20

Answer:

Sum of the interior angles of a regular polygon is given by = (n-2)180°

where n is the no. of sides.

In the above figure, n= 10

Therefore, sum of the interior angles = (10-2)×180°

= 8×180°

= 1440°

Measure of each angle = 1440/10= 144°

Therefore, 10x+4=144

=> 10x= 140

=> x= 14

For the given figure the value of x is 14

Given  a regular polygon

A regular polygon is a polygon which has all sides equal and each side  subtends equal interior angle at the center.

According to the figure

We are given a regular polygon with 10 sides

The angle subtended  at the center is given as

(10x + 4)°

[tex]\rm The\; Sum \; of \; Interior\; angles = \bold {(n-2) \times 180\textdegree} ......(1) \\Where n = Number \; of \; sides \;of\; a \;polygon[/tex]

The Sum of interior angles =  ( 10-2) [tex]\times 180\textdegree[/tex]= 1440°

So the angle subtended by one side at the center is given as follows

1440°/ 10 = 144°

Since the angle subtended at the center = 144° = (10x + 4)°

so by solving this we can get

140 = 10x

x = 14  

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Answer:

= 5 (-2y+3) / -y+3

Step-by-step explanation:

If you need more help, you can look at this website called "symbolab".

Answer:

(24*10)+50=290

Step-by-step explanation:

a) The equation for the amount of money Autumn makes is y = 10x , where x is the number of bracelets she sells and y is the total amount

b) The amount Autumn makes is $ 290

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

a)

Let the number of bracelets Autumn sells be = x

Let the cost of one bracelet be = $ 10

Now , the equation will be

So , the cost of x number of bracelets y = number of bracelets x cost of one bracelet

The cost of x number of bracelets y = 10x

So , the equation is y = 10x

b)

The equation is y = 10x

The cost of 5 bracelets = 10 x 5

                                       = $ 50

Now , the cost of 24 bracelets = 24 x 10

                                                  = $ 240

So , the total amount Autumn makes = cost of 5 bracelets + cost of 24 bracelets

The total amount Autumn makes = 240 + 50

                                                       = $ 290

Hence ,

a) The equation for the amount of money Autumn makes is y = 10x , where x is the number of bracelets she sells and y is the total amount

b) The amount Autumn makes is $ 290

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Calculating the volume of a cylinder the radius is squared,

If the radius was 8 when 8 is squared you get 64

If the radius is multiplied by 1/2 the radius would become 4, 4 squared is 16

16 / 64 = 1/4

The volume would be 1/4 the original volume, so it would be 4 times smaller.

Final answer:

Halving the diameter of a cylinder makes its volume four times smaller, because the volume depends on the square of the radius, and reducing the diameter by half means the radius is also halved.

Explanation:

When the diameter of a cylinder is multiplied by 1/2, the radius of the cylinder is also reduced to half its original size. To understand the impact on the volume, we examine the volume formula for a cylinder: V = (pi = 3.1416) times r^2 times h, where V is the volume, r is the radius, and h is the height. If both the diameter and radius are reduced by half, the volume of the cylinder will be reduced by a factor of 1/2^2 for the radius squared part of the formula.

Volume is directly proportional to the square of the radius, so taking the original volume formula V =
times (original radius)^2 times h and then applying the radius reduction, we get the new volume V' =
times (1/2 times original radius)^2 times h = 1/4 times original volume. Therefore, the volume of the cylinder becomes four times smaller when the diameter (and thus radius) is halved.

Answer:

x = 6/5

y = -14/5

Step-by-step explanation:

y = x -4

y - x = -4

y = 6x -10

y - 6x = -10

y - x = -4

y - 6x = -10

_________--

5x = 6

x = 6/5

y - x = -4 | ×6 |

y - 6x = -10 | ×1 |

6y - 6x = -24

y - 6x = -10

__________--

5y = -14

y = -14/5

Answer:

a = -2  b = 6  c = -3

x = -6 +- sq root (6^2 -4 * -2 *-3) / 2 * -2

x1 = [-6 + sq root (36 - 24)] / -4

x1 = [-6 + sq root (36 - 24)] / -4

x1 = (-6 + sq root (12) ) / -4

x1 = (-6 + 3.4641016151 ) / -4

x1 = -2.5358983849  / -4

x1 = 0.6339745962

x2 = (-6 - sq root (12) ) / -4

x2 = (-6 - sq root (12) ) / -4

x2= (-6 - 3.4641016151 ) / -4

x2 = - 9.4641016151 / -4

x2 = 2.3660254038

Step-by-step explanation: