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2 years ago

8

Help plz I will give brainliest!!!

2 answers:

posledela2 years ago

7 0

Answer:

width = 6k², length = 5k + 1

Step-by-step explanation:

Given

A = 30k³ + 6k² ← factor out 6k² from each term

= 6k²(5k + 1)

Since area = width × length , then

width = 6k² and length = 5k + 1

zysi [14]2 years ago

6 0

Answer:

30k³ + 6k²

= 6k²(5k + 1)

because the width is equal to the greatest common monomial factor of 30k³ and 6k²

=> the width = 6k²

=> the length = 6k²(5k+1)/6k² = 5k + 1

Step-by-step explanation:

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You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how many

REY [17]

What will the radius of your cake be?

This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.

How many slices will you be able to cut?

The total area of a circle is given by:

$A= \pi r^{2}$

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

$A_{cs}= \pi r^{2}( \frac{\theta}{2\pi})= \frac{r^{2}\theta}{2}$

Let's name n the number of slices, if we divide the total area by n this result, each area must equal, then:

$\frac{\pi r^{2}}{n}=\frac{r^{2}\theta}{n}$

Finally, we will be able to cut:

$n= \frac{2\pi}{\theta}$ Slices

7 0

3 years ago

Please help with this Math Question...

Nataly [62]

Answer: A

<u>Step-by-step explanation:</u>

f(x) = x³ + 4x² + 7x + 6

possible rational roots are ±{1, 2, 3, 6}

Try x = -2

-2 | 1 4 7 6

<u>| ↓ -2 -4 -6</u>

1 2 3 0 ← remainder is 0 so x = -2 is a root ⇒ (x + 2) = 0

The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.

a=1, b=2, c=3

$x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x=\dfrac{-(2)\pm\sqrt{(2)^2-4(1)(3)} }{2(1)}$

$x=\dfrac{-2\pm\sqrt{4-12} }{2}$

$x=\dfrac{-2\pm\sqrt{-8} }{2}$

$x=\dfrac{-2\pm2i\sqrt{2}}{2}$

$x = -1 \pm i\sqrt{2}$

$x = -1 + i\sqrt{2}$ $x = -1 - i\sqrt{2}$

$x - (-1 + i\sqrt{2})=0$ $x - (-1 - i\sqrt{2})=0$

The factors are:

$(x - 2)[x - (-1 + i\sqrt{2})][x - (-1 - i\sqrt{2})]$

5 0

2 years ago

Solve for "x" : 2x + 3x + 4x =36

Anestetic [448]

Answer:

4

Step-by-step explanation:

2x + 3x + 4x = 36

Evaluate like terms.

9x = 36

Find x.

x = 36 ÷ 9

x = 4

7 0

2 years ago

Read 2 more answers

Ashley opened a lemonade stand on her street. It costs her $12.50 to buy the supplies each day, and she sells lemonade for $2.50

nasty-shy [4]

Answer:

75

Step-by-step explanation:

Subtract sales - expenses

200 - 12.5 = 187.5

2.5x = 187.5

Divide by 2.5 on both sides

187.5/2.5

x = 75

6 0

2 years ago

Solve Problems Using Division David and Jake a are making cookies. They each get 2 rolls of cookie dough and they are cutting up

trapecia [35]

Answer:

<u>David will have the most cookies and he will have two cookies more than Jake</u>

Step-by-step explanation:

1. Let's calculate how many cookies will David cut with his cutter, this way:

Number of cookies = Rolls of cookie dough/Size of the segment

Replacing with the values we know:

Number of cookies = 2/(1/8)

Number of cookies = 16

2. Let's calculate how many cookies will Jake cut with his cutter, this way:

Number of cookies = Rolls of cookie dough/Size of the segment

Replacing with the values we know:

Number of cookies = 2/(1/7)

Number of cookies = 14

<u>David will have the most cookies and he will have two cookies more than Jake</u>

5 0

3 years ago