Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2? A coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2) and (2, 1). A coordinate plane with a line passing through (negative 3, 0) and (0, 2). A coordinate plane with a line passing through (0, 2) and (2, negative 1). A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).

Answer:

The numbers are: 8 , 12

Step-by-step explanation:

Ratio of two numbers = 2:3

Two numbers are : 2x , 3x

[tex]\frac{2x +12}{3x +12}=\frac{5}{6}\\\\[/tex]

Cross multiply,

6*(2x + 12) = 5*(3x+12)

6*2x +6*12 = 5*3x + 5*12

12x + 72 = 15x + 60

72 - 60 = 15x - 12x

12 = 3x

3x = 12

x = 12/3

x = 4

2x = 2*4 = 8

3x = 3*4 = 12

The numbers are: 8 , 12

Answer:

(2, 2.5 )

Step-by-step explanation:

Using the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (1, 7) and (x₂, y₂ ) = (3, - 2) , thus

midpoint = [[tex]\frac{1}{2}[/tex](1 + 3), [tex]\frac{1}{2}[/tex] (7 - 2) ] = (2, 2.5 )

Answer:

-16d+24

Step-by-step explanation:

=> -8(2d-3)

Expand the brackets and use distributive property.

=> (-8 × 2d)+(-8 × -3)

Multiply

=> (-16d) + (24)

=> -16d+24

Answer:

-16d + 24

Step-by-step explanation:

-8(2d - 3)

Expand or distribute.

-8(2d) -8(-3)

Multiply the terms.

-16d + 24

Answer #1: [tex]\frac{1}{2}[/tex]

Answer #2: [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

__ __ __

There are 4 × 3 × 2 possibilities. For the first question, "The probability that Amy forms an arrangement that begins and ends with vowels is _____." To have a her word end in a vowel, then her word will have to end in either 'e', or 'i'. For this to be possible there are two possibilities for the last letter. Then the middle letter will have three possibilities because one letter will have been used for the last one. Finally, there will be two more possibilities for the letter at the end. That's 2 × 3 × 2 possibilities.

To get a word whose arrangement is in alphabetical order either backwards or forwards I just listed possibilities:

CDE

CDI

CEI

IDC

IEC

IED

There are six in all which means the answer to problem two is six out of twenty four.

A is 0.5 and b is 1

Answer:

Step-by-step explanation:

u = ?

a = 3.75m/s^2

t = 2 s

v = 9375m/s

a = v-u/t

3.75 = 9375 - u / 2

3.75 × 2 = 9375 - u

7.5 = 9375 - u

u = 9375 - 7.5

= 9367.5 m/s

Hope this helps

plz mark as brainliest!!!!!!!

Answer:

[tex]3 \frac{1}{2} [/tex]

solution,

[tex] \frac{1}{2} \times 7 \\ = \frac{1 \times 7}{2} \\ = \frac{7}{2} \\ = 3 \frac{1}{2} [/tex]

Hope this helps...

Good luck on your assignment....

The answer in mixed number is written as  [tex]3\dfrac{1}{2}[/tex]

The given expression is  [tex]\dfrac{1}{2} \times 7[/tex].

Mixed fraction is composed of an integer with a proper fraction.

A proper fraction is one which has numerator's value smaller than that of denominator.

The conversion will go like shown below:

[tex]\begin{aligned}\dfrac{1}{2} \times 7&= \dfrac{7}{2}\\&= \dfrac{3 \times 2 + 1 }{2}\\&= 3 + \dfrac{1}{2}\\&= 3\dfrac{1}{2}\end{aligned}[/tex]

Thus, the resultant mixed number of given expression will be given as  [tex]3\dfrac{1}{2}[/tex]

Learn more here:

https://brainly.com/question/236680

Answer:

Step-by-step explanation:

[tex] \frac{x}{3} = - 9[/tex]

Apply cross product property

[tex]x = - 9 \times 3[/tex]

Calculate the product

[tex]x = - 27[/tex]

Hope this helps...

Best regards!!

Answer:

x=-27

Step-by-step explanation:

Answer:6 ft

Step-by-step explanation:

Answer:

6ft

Step-by-step explanation:

Answer:

The factors of [tex]x^{3}-y^{3}[/tex] are [tex][(x-y)(x^{2}+xy+y^{2})][/tex].

Step-by-step explanation:

We know that:

[tex]x^{3}+y^{3}=(x+y)(x^{2}-xy+y^{2})[/tex]

Compute the factors of [tex]x^{3}-y^{3}[/tex] as follows:

[tex]x^{3}+(-y)^{3}=(x+(-y))(x^{2}-x(-y)+(-y)^{2})[/tex]

     [tex]x^{3}-y^{3}=(x-y)(x^{2}+xy+y^{2})[/tex]

Thus, the factors of [tex]x^{3}-y^{3}[/tex] are [tex][(x-y)(x^{2}+xy+y^{2})][/tex].

Answer:

its the last one

Step-by-step explanation:

Answer:

[tex]\sqrt{153}[/tex]

Step-by-step explanation:

Using Pythagoras in 3D.

[tex]a^2+b^2=c^2[/tex] (The distance between two points in a direction)

For the x-plane.

[tex](-9)^2+(-2)^2=c^2\\85=c^2\\c=\sqrt{85}[/tex]

For the y-plane.

[tex]8^2+2^2=c^2\\68=c^2\\c=\sqrt{68}[/tex]

Finding the shortest distance between those two points.

[tex]\sqrt{68}^2+\sqrt{85}^2=c^2\\68+85=c^2\\153=c^2\\c=\sqrt{153}[/tex]

half of room because worker A can paint fast so he will paint fast

Answer:

5/6 of the room would be painted if both of them painted the room together in 1 hour

Step-by-step explanation:

Work done by A in 1hour=1/2

Work done by B in 1hour=1/3

Therefore total work done by both in 1hr=1/2+1/3

LCM of 2 and 3 is 6

therefore 1/2+1/3=3/6+2/6=5/6

Answer:

119

Step-by-step explanation:

X + 1/x = 11

X^2 + 1/x^2 = 119

(X + 1/x)^2

Answer:

C. Negative

Step-by-step explanation:

We know that

The farther right this line goes the further it goes down.

This is a negative slope.

If this line was directly vertical it would be undefined.

If it was horizontal it would be zero.

Answer:C

Step-by-step explanation:

Y is always decreasing and X increases and Y is always increasing one X is decreasing this is why it’s a negative slope.

Answer:

33 miles

Step-by-step explanation:

The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.

5280 ft = 1 mile

735 ft = ? miles

cross multiply

735/5280

miles = 0.13920454545  miles

The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14  miles

using Pythagoras theorem

c² = a² + b²

c = 4000.14

a = 4000

4000.14² = 4000² + b²

b² = 4000.14² - 4000²

b² = 16001120.0196  - 16000000

b² = 1120.0196

b = √1120.0196

b = 33.4666938911

b = 33 miles

Answer: x≈3.7

Step-by-step explanation:

7x+4=30

-4 on both sides

30-4=26

7x=26

divide 7 on both sides

x=3.7142...

Answer:

3.7

Step-by-step explanation:

7x+4=30

7x=30-4

7x=26

26/7

3.7

Answer:

C

Step-by-step explanation:

Equation A

16x - 7 = 11x - 32

(16x - 7) - 11x = (11x - 32) -11x

5x - 7 = -32

(5x - 7) + 7 = (-32) + 7

5x = -25

(5x)/5 = (-25)/5

x = -5

Equation B

-4x - 10 = 2x + 20

(-4x - 10) - 2x = (2x + 20) - 2x

-6x - 10 = 20

(-6x - 10) + 10 = (20) + 10

-6x = 30

(-6x)/-6 = (30)/-6

x = -5

Both Equation A and Equation B have a solution of -5.

Answer:

0.00089.

Step-by-step explanation:

The third significant figure is 7 so we round up the 8,

Answer:

Altogether, Stevie and Michael made £480

Step-by-step explanation:

Since Stevie gets £120 more than Michael, Stevie gets the bigger ratio which is 5 and Michael gets the ratio 3

a:b=ax+bx

Stevie share =ax

Michael share=by

5:3=5x+3x

Stevie profit=Michael profit

*Stevie gets £120 more

5x+120=3x

5x-3x=120

2x=120

x=120/2

=60

x=60

Stevie=ax

=5*60

=£300

Michael=bx

=3*60

=£180

Altogether,

They made a profit of £180+£300

=£480

Answer:

(f-g) (x) is

[tex] {4}^{x} - 5x - 14[/tex]

Step-by-step explanation:

f(x)=4ˣ - 8

g(x)=5x+6

(f-g) (x) is

[tex] {4}^{x} - 8 \: - (5x + 6) \\ {4}^{x} - 8 - 5x - 6[/tex]

The final answer is

[tex] {4}^{x} - 5x - 14[/tex]

Hope this helps you.

Answer:

the result is a positive number not a negative number

Step-by-step explanation:

a - ( -b)

We know that subtracting a negative is like adding

a+b

This would result in a positive number

Answer:

No.

Step-by-step explanation:

Because it is a double negative, the difference will become positive.

For instance, 6 - (-4) = 10

(The subtraction and negative signs will become positive instead).

Answer:

3 rational numbers between -5 and -6 include -5.6, -5.7, and -5.1.

Step-by-step explanation:

Answer:

-5.2, -5.6, and  -5.8.

Step-by-step explanation:

3 rational numbers between -5 and -6.

-5 > x > -6

Where x is a rational number, that can be expressed in p/q form.

The numbers can be -5.2, -5.6, and -5.8.

-5.2 = -26/5

-5.6 = -28/5

-5.8 = -29/5

The numbers can be expressed in p/q form, so they are rational.

Answer:

17.7 cm^2

Step-by-step explanation:

Use trig to find the height of the triangle. Then the area is bh/2.

Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.

Use triangle ABD to find the height, AD, of triangle ABC.

For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.

sin B = opp/hyp

sin 37 deg = AD/13.1

AD = 13.1 * sin 37 deg

AD = 7.9

AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.

area = bh/2

area = (4.5 cm)(7.9 cm)/2

area = 17.7 cm^2

Answer:

No, She did not use the distributive property correctly.

Step-by-step explanation:

While multiplying [tex](3-6y^2)(y^2+2)[/tex], he did not use distributive property correctly. She only multiplied 3 with [tex]y^2[/tex] and not with 2. Also she multiplied [tex]-6y^2[/tex]only with 2 and not with [tex]y^2[/tex].

Answer:No, She did not use the distributive property correctly.

Answer:

Step-by-step explanation:

Answer:

  2x -3y = 19

Step-by-step explanation:

For the two points (8, -1) and (2, -5), the two-point form of the equation of a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-5-(-1))/(2 -8)(x -8) +(-1)

  y = -4/-6(x -8) -1

  3y = 2x -16 -3 . . . . multiply by 3

  2x -3y = 19 . . . . . . rearrange to standard form

__

The point-slope form is y +1 = 2/3(x -8). It helps to have all the numbers.

Answer:

2x + -3y = 19

Step-by-step explanation:

I promise

Answer:

The first term is 42.

Step-by-step explanation:

The common difference is 142  - 140 = 2 so we have

50th term = a1 + 2(50 -1) = 140    where a1 is the first term

a1 + 98 = 140

a1 = 140 - 98 =  42.

Answer:

the correct answer is C.

Answer:

[tex]Mean = 12[/tex]

[tex]Standard\ Deviation = 6[/tex]

Step-by-step explanation:

Given

Number of questions, n = 48

Probability of correct answer, p = 1/4

Required

- Find the mean

- Find the standard deviation

Using probability notations;

n = 48 and p = 1/4

Mean is calculated as follows;

[tex]Mean = np[/tex]

Substitute 48 for n and 1/4 for p

[tex]Mean = 48 * \frac{1}{4}[/tex]

[tex]Mean = \frac{48}{4}[/tex]

[tex]Mean = 12[/tex]

The Mean is 12

Calculating Standard Deviation (SD)

[tex]SD = \sqrt{np(1-p)}[/tex]

Substitute 48 for n and 1/4 for p

[tex]SD = \sqrt{48 * \frac{1}{4}(1-\frac{1}{4})}[/tex]

Solve the expression in the bracket

[tex]SD = \sqrt{48 * \frac{1}{4}(\frac{4-1}{4})}[/tex]

[tex]SD = \sqrt{48 * \frac{1}{4}(\frac{3}{4})}[/tex]

Open Bracket

[tex]SD = \sqrt{48 * \frac{1}{4}*\frac{3}{4}}[/tex]

[tex]SD = \sqrt{\frac{48 * 1 * 3}{4}}[/tex]

[tex]SD = \sqrt{\frac{144}{4}}[/tex]

[tex]SD = \sqrt{36}[/tex]

Take Square Root of 36

[tex]SD = 6[/tex]

The standard deviation is 6