Explain why Justine is correct or incorrect.
the second claim of justine is that the only angle of rotation that shows rotational symmetry is 120 degree is correct.

Answer:

x=-9 and x=5

Step-by-step explanation:

x+9=0 and x-5=0

x=-9 or x=5

Answer:

5 and 6

Step-by-step explanation:

The values of the roots of the function are the same as the points where the graph meets the horizontal axis.

Check the picture below.

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-4})\qquad \qquad \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{-3}(x-\stackrel{x_1}{1}) \\\\\\ y+4=-3x+3\implies y=-3x-1[/tex]

The polynomial is prime because the provided polynomial can not be factored shown in the X-method chart.

X-method is the method to find the factors of the polynomial equation.

An x-method chart shows the product a c at the top of x and b at the bottom of x.

Above the chart is the expression,

[tex]ax^2+bx+c[/tex]

The given polynomial in the problem is,

[tex]x^2 +8x - 6[/tex]

Let's check if the factors of polynomial. To find the factor, we need, to find the two number whose sum or different is 8 and the product is 6 (6 × 1).

As there is no number which gives has the sum or different is 8 and the product is 6 (6 × 1). Thus, the above polynomial can not be factored. Thus this polynomial is prime.

Thus, the polynomial is prime because the provided polynomial can not be factored, shown in the X-method chart.

Learn more about the X method here;

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Answer:

d

Step-by-step explanation:

cuz i know

Answer:

36, 54, 90

Step-by-step explanation:

angle ratio = total internal angles

2x + 3x +5x = 180

10x = 180

x = 18

2×18:3×18:5×18

36, 54, 90

Answer:

the answer is 6

Step-by-step explanation:

there is 8 so you look at x and you see 4 then you look at y and you see 3 so you multiply 4*2=8 because you need eight so then because you multiplied 4*2 you multiply 3*2 and you get 6

The inequality that represents the sentence "two more than a number is less than 14" is [tex]n+2 < 14[/tex].

Let the number be n

2 more than number = n+2

Inequality is the relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

It is given that,

Two more than a number is less than 14

This means, [tex]n+2 < 14[/tex]

Therefore, the inequality that represents the sentence "two more than a number is less than 14" is [tex]n+2 < 14[/tex].

To get more about inequality visit:

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Answer: 2 + n less-than 14

Or 2 + n < 14

Step-by-step explanation:

Let n = number

Two more than a number is less than 14

n + 2 < 14

Or 2 + n < 14 which is the same as

2 + n less-than 14 or B

Answer:

x=21

Step-by-step explanation:

4x+12=96

subtract 12 from both sides

4x=84

divide both sides by 4

x=21

Answer:

x = 21

Step-by-step explanation:

to solve:

1. subtract 12 from both sides:

4x=12=96

    -12 -12

2. This gives you 4x=84. Then divide both sides by 4:

[tex]\frac{4x}{4}[/tex][tex]=\frac{84}{4}[/tex]

4x/4 = x

84/4 = 21

So, you get x = 21

Answer:

Depends on the pool you are pulling them from.

There are currently 11 different denomination accessible.

That would be 1 out of 11.

But considering that 4 of those bills are uncommon, the odds become 1 out of 7

Then to pull 2 of the same would mean you multiply 1/11 by 1/11 = 1/121

for the 1/7 it would become 1/49

Answer:

x= - 1 1/3

thanks

Given question:-Solve 3(x – 4) = 12x.

Step-by-step explanation:

let's solve:-

[tex]⇒ \: 3x-12=12x \: (distribution \: of \: 3 with \: bracket) \\ \\ ⇒ \: -12=12x-3x \: (arranging \: like \: terms) \: \: \: \: \: \: \: m \: \: \: \: \: \\ \\ ⇒ \: -12=9x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\\ \\ ⇒ \: - \frac{ 12}{9} =x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ ⇒ \: - \frac{ 4}{3} =x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Answer:

62

Step-by-step explanation:

step 1: find the height of half the yellow coloured triangle (right angled triangle). remember that the angle formed at the center is always 36° for a pentagon.

tan36° = opposite/ adjacent

tan36° = 3/h (h for height)

h × ( tan36°) = 3

h = 3 / tan36°

h = 4.13

step 2: calculate area of the right angled triangle

Area = 1/2 × b × h

= 1/2 × 3 × 4.13

= 6.195

step 3: calculate the area of a Pentagon

a Pentagon can be divided into ten right angled

triangle

6.195 × 10

total area = 61.95

rounded off = 62

Answer :

⠀

Given :

⠀

To Find :

⠀

Solution :

We know,

[tex]{ \longrightarrow\qquad \bf\pi {r}^{2} = \bf{Area_{(Circle) } }}[/tex]

⠀

Where,

⠀

Now, Substituting the values :

[tex]{ \longrightarrow\qquad \sf\pi {r}^{2} = 25 \pi }[/tex]

⠀

Cancelling π from both sides :

[tex]{ \longrightarrow\qquad \sf \cancel\pi {r}^{2} = 25 \cancel\pi }[/tex]

[tex]{ \longrightarrow\qquad \sf {r}^{2} = 25 }[/tex]

[tex]{ \longrightarrow\qquad \sf {r}= \sqrt{25} }[/tex]

[tex]{ \longrightarrow\qquad \pmb{\bf {r}= 5 }}[/tex]

⠀

Therefore,

Answer:

Volume for a cylinder in this case is

V=˜ πr^2h

So R being radius

H being height

V being volume.

We know the volume is 250π

The height is given in the diagram which is 10.

Plug in the infromation into the formula.

250π = πr^2*10

Simplify and solve for r (radius).

Let’s divide by π on both sides

250 = r^2 * 10

Divide by 10 to get rid of 10

25 = r^2

√25 = r

√25 = 5

The radius is 5

Answer:

4x

Step-by-step explanation:

x hours for 4 weeks = 4x

it's 4 times x

Answer:

-7

Step-by-step explanation:

[5 0 -2]-[-1 3 8]

[5-2]-[-1+11]

3-10

-7

14.23n - 15 = 41.92

Explanation :

In mathematics "n" denotes any non-negative integer

as in this case "n" denotes the number of necklaces Christine bought

If 1 necklace costs $14.23

n no. of necklaces costs $14.23 × n = 14.23n

She used a coupon for $15 off

so the total amount spent

= the cost for n no. of necklace – $15

= 14.23n – 15

that's technically how the equation given in the question has been derived

total amount spent = $41.92 ( stated in question )

previously we derived an equation for the total amount spent which is = 14.23n – 15

14.23n - 15 = 41.92

14.23n = 41.92 + 15

14.23n = 56.92

n = 56.92 / 14.23

n = 4

no. of necklaces bought = n = 4 necklaces

hope this helped :)

Answer:

A is x = 0

B is false

Step-by-step explanation:

because u have to solve x

and b is false

Answer:

$57

Step-by-step explanation:

I'll assume the pool's dimensions are 18 x 40 x 6.

The total volume is (18 x 40 x 6) = 4320 ft^3.

Use the conversion factor (2.64 gallons/1 ft^3) to find the gallons of water in a full pool.  Full pool, cool.

Water (gal) = (4320 ft^3)*(2.64gallons/ft^3) = 11,405 gallons

At $0.005/gal, this would cost (11,405 gallons)*($0.005/gal) = $57.02

$57 to the nearest dollar.

Answer:

9

Step-by-step explanation

First you multiply 3 five times, then you multiply 3 seven times and you divide the results of each multiplication

Answer:

0.111111111111111

Step-by-step explanation:

=> 3⁵÷3⁷

Note 3⁵ means multiplying 3 five times

And 3⁷ means multiplying 3 7 times

=> 3×3×3×3×3÷3×3×3×3×3×3×3

multiply the values and then divide

=> 243÷2,187

divide 243 by 2187

=> 0.111111111111111

Answer:

32

Step-by-step explanation:

if you were to cut each cake (8) into 4 pieces you would have 4 pieces for each cake you cut SO if you do 4 pieces times 8 cakes that is 32 pieces in total

The difference in the price per bag for 150 bags versus 50 bags is $0.15 per bag.

If 150 bags on the x axis is traced to the y axis, the price of the bag is $38.

If 50 bags on the x axis is traced to the y axis, the price of the bag is $20.

Price per bag:

150 bags = 38 / 150 = $0.25

50 bags = $20 / 50 = $0.4

The difference = $0.4  $0.25 = $0.15

Please find attached the graph used in answering this question. To learn more about subtraction, please check: https://brainly.com/question/854115

Answer:

A: $0.15 per bag

Step-by-step explanation:

Answer:

10ft wide

22 ft tall

Step-by-step explanation:

did the test

Answer: $5.44

Step-by-step explanation:

if 1 bag of candy costs $1.36 and Mark bought 4 bags of candy, multiply 1.36 and 4 to get $5.44

The complete factorization of the polynomial x² – x – 12 is (x – 4)(x + 3). The 3 positive unit tiles. Then the correct option is B.

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The partial factorization of x² – x – 12 is modeled with polynomial tiles.

The factorization will be

x² – x – 12

x² – 4x +3x – 12

(x – 4)(x + 3)

The complete factorization of the polynomial x² – x – 12 is (x – 4)(x + 3). The 3 positive unit tiles. Then the correct option is B.

More about the polynomial link is given below.

https://brainly.com/question/17822016

Answer:

Not right.

Step-by-step explanation:

m <HGJ + m <KGJ =180°

So, m <HGJ = 180° - m <KGJ = 180° - 86° =94°

Answer:

0.36

Step-by-step explanation:

So the first step is to count up all the socks which is 18. Then I took 2 (because you can't just wear one sock) and multiplied it by 18 and got 36. The question asked for decimal form so I divided it by 100 and got 0.36.

I hope this helps you :)

[tex]2 * 18 = 36\\\\36/100 = 0.36[/tex]

Answer:

The pool is 5 ft. deep.

Step-by-step explanation:

If he wants a pool that 500 cubic feet and the base is 100, simply do 500/100