Find the slope of the line that passes through the given points.
(9,1) and (9,5)

Answer:

The correct option is B:

B) x superscript five-thirds Baseline y superscript one-third

Step-by-step explanation:

The expression can be written as:

[tex]\sqrt[3]{x^5y}[/tex]

We know that cube root can also be written as the power of 1/3, So

[tex]\sqrt[3]{x^5y} = (x^5y)^{1/3}[/tex]

Multiplying the power with both variables

[tex](x^5y)^{1/3} = x^{5\cdot1/3}\cdot y^{1\cdot1/3}[/tex]

Simplifying the equation to get final form

[tex]x^{5\cdot1/3}\cdot y^{1\cdot1/3} = x^{5/3}\cdot y^{1/3}[/tex]

As we can see that it is similar to the option B which is

B) x superscript five-thirds Baseline y superscript one- third

the correct option is B

The expression which is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot is;

The expression can be written as;

[tex] \sqrt[3]\frac{{ {x}^{5} } }{y} [/tex]

In essence, Upon simplification; we have;

Therefore, we have;

The expression therefore becomes;

[tex] \frac{ {x}^{ \frac{5}{3} } }{ {y}^{ \frac{1}{3} } } [/tex]

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Answer:

relatively prime. Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Step-by-step explanation:

Answer:

Two integers

Step-by-step explanation:

Two integers are relatively prime.

Answer:

2nd, 3rd and the last one

Answer:

[tex]D = 0[/tex]

The graph has 1 x-intercept

Step-by-step explanation:

Given

[tex]f(x) = -4x^2 + 12x - 9[/tex]

Required

- Discriminant of f

- Number of x intercepts

Let D represent the discriminant;

D is calculated as thus

[tex]D = b^2 - 4ac[/tex]

Where a, b and c are derived from the following general format;

[tex]f(x) = ax^2 + bx +c[/tex]

By comparing [tex]f(x) = ax^2 + bx +c[/tex] with [tex]f(x) = -4x^2 + 12x - 9[/tex]

We have

[tex]f(x) = f(x)\\ax^2 = -4x^2\\bx = 12x\\c = -9[/tex]

Solving further;

[tex]a = -4\\b=12\\c=-9[/tex]

So, D can now be calculated;

[tex]D = b^2 - 4ac[/tex] becomes

[tex]D = 12^2 - 4 * -4 * -9[/tex]

[tex]D = 144 - 144[/tex]

[tex]D = 0[/tex]

Hence, the discriminant of f is 0

From the value of the discriminant, we can determine the number of x intercepts of the graph;

When D = 0, then; there exists only one x-intercept and it as calculated as thus

[tex]x = \frac{-b}{2a}[/tex]

Recall that

[tex]a = -4\\b=12\\c=-9[/tex]

So, [tex]x = \frac{-b}{2a}[/tex] becomes

[tex]x = \frac{-12}{2 * -4}[/tex]

[tex]x = \frac{-12}{-8}[/tex]

[tex]x = \frac{12}{8}[/tex]

[tex]x =1.5[/tex]

Answer:

11

Step-by-step explanation:

Graph in desmos by making a table then you're able to count more clearly

Answer:

Answer is option b) 11

Step-by-step explanation:

[tex]distance \: between \: two \: points \\ = \sqrt{ {(y2 - y1)}^{2} + {(x2 - x1)}^{2} } \\ here \: x1 = 4 \: \: \: and \: y1 = 6 \\ x2 = - 7 \: \: \: and \: y2 = 6 \\ = \sqrt{ {(6 - 6)}^{2} + { (- 7 - 4)}^{2} } \\ = \sqrt{ { - 11}^{2} } \\ = \sqrt{121} \\ = 11[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

The answers are A, B and D

Answer:

Step-by-step explanation:

diameter = 6 in

r = 6/2 = 3 in

h = 11 in

Volume of cylinder = πr²h

                                = 3.14*3*3*11

                                = 310.86 in³

Answer:

0.11111111111

Step-by-step explanation:

Answer:

1/9 or 0.1 repeating

Step-by-step explanation:

Start by doing the inverse of the square root of 2 (that is the negative sign)

The inverse of 3^-2 is 1/3^2

Therefore, your answer is 1/9.

Hope this helps!

Answer:

144

Step-by-step explanation:

L•w•h

12•4•3= 144

___________________________________

The right answer is of option C

so if we have to solve it then it will be:

5x+13x=180

or,18x=180

or,X=180/18

X=10

hope it helps

Good luck on your assignment

_______________________________

Answer:

C

Step-by-step explanation:

X is 10 so it is c

Hope this works

The width of the room is equal to 6 m

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here: Perimeter=36 m

Let the length of the room be 2x and width of the room be x

Then we have (2x+x)=36

                             x=12

Thus length =12m & width=6 m

Hence, the width of the room is equal to 6 m

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Answer:

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

just because i just took it

Answer:

x = 8

Step-by-step explanation:

Answer:

At the end

Step-by-step explanation:

Answer:

So since we have 2^-2 We can do 1/2^2  = 0.25

So if you have y^-x = 1/y^x

Answer:

1/4

Step-by-step explanation:

negative exponent rule says a ⁻ⁿ = 1/ aⁿ so:

2⁻² =1/2² = 1/4

Domain (-infinity,infinity)

Min(?

max(2,2)

Answer:

d

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent.

Equate any pair of sides and solve for x

AC = BC , that is

10x - 5 = 6x + 3 ( subtract 6x from both sides )

4x - 5 = 3 ( add 5 to both sides )

4x = 8 ( divide both sides by 4 )

x = 2 → d

A correct option is an option (d).

The given sides are,

AB=7.5x

AC=10x-5

BC=6x+3

As we know in an equilateral triangle all sides are equal then,

AB=AC=BC

[tex]AB=AC\\7.5x=10x-5\\-10x+7.5x=-5\\-2.5x=-5\\x=\frac{5}{2.5} \\x=2[/tex]

So, the correct option is an option (d).

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Answer:

Y=3

X=1

3<1+3

Hope that helps

The only pair of possible values for x and y is (1,3) that satisfies the inequality expression.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.

For the given situation,

The expression is

x and y are integers, y>2, x<2

y< x + 3

[tex]x < 2[/tex] , x can take any value less than two.

⇒ [tex]x=1[/tex] and

[tex]y > 2[/tex] , y can take any value greater than two

⇒ [tex]y=3[/tex]

Thus the expression becomes,

⇒ [tex]y < x + 3[/tex]

⇒ [tex]3 < 1 + 3[/tex]

⇒ [tex]3 < 4[/tex]

Hence we can conclude that the only pair of possible values for x and y is (1,3) that satisfies the inequality expression.

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Answer:

a=1 b=3 c=-4

Step-by-step explanation:

using almighty formular

a=1 b=3 c= - 4

Answer:

D

Step-by-step explanation:

This net when folded, will become a triangular prism, which is only represented by option D.

Answer:

1. 1350

2.2700

Step-by-step explanation:

Answer:

Step-by-step explanation:

PLEASE MARK BRAINLY

Answer:

im confuised which one is a?

Step-by-step explanation:

Answer: y = x/3 -1

Step-by-step explanation: I also had this question so I know what graph you're talking about, but next time put a graph.

Answer: 55 feet of rope

Step-by-step explanation:

The absolute value of -30 is the distance 30 is away from 0, so |-30| = 30. And |25| = 25.

|-30| + |25| = 30 + 25 = 55

Answer:

160 pounds at 2.70

240 pounds at 3.20

Step-by-step explanation:

Let x be the pounds and 2.70 per pound

400-x is the pounds and 3.20 per pound

there will be 400 pounds and 3.00 per pound

2.70 x + (400-x) *3.20 = 400 *3

Distribute

2.70x +1280-3.20x = 1200

Combine like terms

-.5x +1280 = 1200

Subtract 1280 from each side

-.5x = -80

Divide each side by -.5

x = -80/-/5

x =160

160 pounds at 2.70

400-160 = 240 pounds at 3.20

Answer:

528 in²

Step-by-step explanation:

Look at the attached image to help layout all of the dimensions of the pizza box!

Let me know if you have any other questions and please rate my response and consider marking brainliest!!

Answer:

(x - 6)(x - 6)

Step-by-step explanation:

-6 + -6 = -12

-6 * -6 = 36

meaning -6 in in both

if you want to find x

x = 6

Answer:

6

Step-by-step explanation:

x2-12x+36=0

find a two numbers that add to -12 and multiply to 36

-6 and -6

(x-6)(x-6)=0

x-6=0     x-6=0

x=6         x=6

Answer:

1 hour and 24 min

Step-by-step explanation:

Jane does 3/4 job done in 21 min

Eleanor does 1/4 job done in 21 min

21*4=84

60+24

1 hour and 24 min

The work rate when they work together is much higher than when Eleanor

does the job herself.

Reasons:

Jane's work rate = 3 × Eleanor's work rate

The time it takes both Jane and Eleanor to do a job = 21 minutes

Required:

The time it would take Eleanor to do the job herself.

Solution:

Let x represent the portion of the job performed by Eleanor in the 21

minutes, we have;

The portion performed by Jane = 3 × x

Therefore;

The job done when they work together for 21 minutes = x + 3·x = 4·x

The time it takes Eleanor to do the job portion, x = 21 minutes

Therefore;

The time it will take Eleanor to do a job of 4·x = 4 × 21 minutes = 84 minutes

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