Two integers have a difference of 18 and a sum of 2. What is the product of the two integers?

Answer:

See explanation

Step-by-step explanation:

The question is incomplete because the image is missing. However, I have attached an image from Lumen learning to help you understand how to calculate the difference between two points on a straight line graph.

Given two points (x1,y1) and (x2,y2) on a straight line graph as shown in the image attached, a straight line drawn to join the two points gives the distance between the two points. This line drawn to join the points becomes the hypotenuse of a triangle ABC.

Given that;

(x2-x1) =a

(y2-y1)=b

distance =c

Recall that Pythagoras's theorem states that;

[tex]c= \sqrt{a^{2} + b^{2} }[/tex]

Then, according to Pythagoras's theorem;

c =√(x2-x1)2 + (y2-y1)2)

Simply put;

c=√(difference between abscissae)2 - (difference between ordinates)2

You can now substitute values and obtain a numerical result.

Answer: Choice D

f(n) = 4*(3)^(n-1)

f(5) = 324

=======================================================

Explanation:

Look at the y coordinates: {4, 12, 36, 108}

This is a geometric sequence with starting term a = 4 and common ratio r = 3. You start with 4 and multiply by 3 to generate each term

4*3 = 12

12*3 = 36

36*3 = 108

The nth term of the geometric sequence is

f(n) = a*(r)^(n-1)

f(n) = 4*(3)^(n-1)

Now plug in n = 5

f(n) = 4*(3)^(n-1)

f(5) = 4*(3)^(5-1)

f(5) = 4*(3)^(4)

f(5) = 4*81

f(5) = 324

Or you could multiply the last term in {3,12,36,108} by the common ratio 3 to get 108*3 = 324 as the fifth term.

the answer is 9.2 in by 10 in

The length and the width of the scale drawing are 7.14 inches by 10 inches.

Since every 5 inches on the drawing represents 7 ft of carpet, then the width of the drawing will be:

= 10 × 5/7 = 50/7 = 7.14 inches

The length of the drawing will be:

= 14 × 5/7

= 10 inches.

Therefore, the length and the width of the scale drawing are 7.14 inches by 10 inches.

Read related link on:

https://brainly.com/question/18336040

Answer:

Positive discriminant = 2 real solution

x= -5,-40

Step-by-step explanation:

The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.

The discriminant is the part of the quadratic formula inside the square root:

[tex]b^{2}-4ac[/tex]

Every quadratic formula has the structure:

[tex]ax^{2} +bx+c=0[/tex]

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

[tex]x^{2} +45x+200=0[/tex]

Our a=1, b=45 and c=200

Now we can substitute these values into the discriminant:

[tex](45)^{2} -4(1)(200)[/tex]

Solve:

[tex]2025-800=1225[/tex]

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

[tex]x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}[/tex]

(Same discriminant value)

[tex]x=\frac{-45+/-35}{2}[/tex]

Now to find the two solutions, we use both signs in the equation. Solution 1:

[tex]x=\frac{-45+35}{2}[/tex]

[tex]x=\frac{-10}{2}=-5[/tex]

Our first solution is -5, now for the second:

[tex]x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40[/tex]

The two solution to this equation are -5 and -40.

Hope this helped!

Answer:

Yes it is rational.

Step-by-step explanation:

Answer:

Rational I think

Step-by-step explanation:

Rational means it can be expressed as a fraction

Answer:

C.

Step-by-step explanation:

Answer:

7/16

Step-by-step explanation:

Just took the test! :)

Answer:lol i agree

Step-by-step explanation:

Answer:

[tex]\longrightarrow 5n+1\longleftarrow[/tex]

Step-by-step explanation:

[tex]f(n)=2n+1\\\\g(n)=3n\\\\f(n)+g(n)=?\\\\\longrightarrow (2n+1)\longleftarrow\\\\+\longrightarrow (3n)\longleftarrow\\\\f(n)+g(n)=2n+1+3n\\\\=(2n+3n)+1\\\\=(2+3)n+1\\\\=5n+1\longleftarrow \\\\\dagger[/tex]

Answer:

[tex]\boxed {\tt f(n)+g(n)=5n+1}[/tex]

Step-by-step explanation:

We want to find f(n) + g(n) . Basically, we have to find the sum of f(n) and g(n).

[tex]f(n)+g(n)[/tex]

We know that:

[tex]f(n)=2n+1\\g(n)=3n[/tex]

Therefore, we can substitute 2n+1 in for f(n) and 3n in for g(n)

[tex](2n+1)+(3n)[/tex]

Combine like terms. The terms 3n and 2n both have a "n" so they can be combined.

[tex](2n+3n)+(1)[/tex]

[tex](5n)+1[/tex]

[tex]5n+1[/tex]

f(n)+g(n) is equal to 5n+1

Answer:

The first and second angles are 27° and the third angle is 126°.

Step-by-step explanation:

We have that the third angle (β) is 45° more than three times the measure of either of the other two​ angles (θ):

[tex] \beta = 45 + 3\theta [/tex]     (1)

Also, the sum of the measures of the 3 angles is 180°:

[tex] \beta + \theta + \theta = 180 ^{\circ} [/tex]   (2)

By entering equation (1) into equation (2) we have:

[tex] 45 + 3\theta + \theta + \theta = 180 [/tex]  

[tex] 5\theta = 180 - 45 [/tex]

[tex] \theta = 27 [/tex]

Hence, the third angle is:

[tex] \beta = 45 + 3\theta = 45 + 3*27 = 126 [/tex]                                  

Therefore, the first and second angles are 27° and the third angle is 126°.

I hope it helps you!

Answer:

1.666666667

Step-by-step explanation:

Answer:

Kathy would take 7.56 seconds to run each of the 8-time segments of the 400-meter dash.

Step-by-step explanation:

Kathy ran the 400-meter dash in 60.48 seconds, so if she now divided that time into 8 equal time segments we have:

[tex] t = 60.48 s [/tex]

By dividing the above equation into 8:

[tex] t = \frac{60.48 s}{8} = 7.56 s [/tex]

Hence, she would take 7.56 seconds to run each of the 8-time segments of the 400-meter dash.

I hope it helps you!

Answer:

1. true

2. false

3. true

4. true

Answer:

x = 29 ,  b = -3

Step-by-step explanation:

5 = b + 8

5 - 8 = b

-3 = b

b = -3

2x + 3b = 156

156 / 3 = 52

52 / 2 = 26

x + b = 26

26 + 3 = 29

x = 29

Answer:

x = 18.75

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

3x-10 = 65-x

Add x to each side

3x-10+x = 65-x+x

4x-10 = 65

Add 10 to each side

4x-10+10 = 65+10

4x = 75

Divide each side by 4

4x/4 = 75/4

x = 18.75

Answer:

b

Step-by-step explanation:

Answer:

The answer is B. since the m on the bottom is negative you are taking it away. You basically just combine your variables to make the equation.

Step-by-step explanation:

Answer:

35 minutes a day.

Step-by-step explanation:

4*7=28

980/28=35

Answer:

35

Step-by-step explanation:

980 divided by 28 (days in a month)

Answer:

3 2/4

Step-by-step explanation:

3.5 or just 3 if you round

2 - 300 calories

3 - 1260 calories

6 - 20g

7 - 70mg

x = 5/4   or   x = 15/4

Step-by-step explanation:

Answer

:Identity Property of Addition

Step-by-step explanation:

Answer:

y=2x-7

Step-by-step explanation:

Answer:

idk

Step-by-step explanation:

cuz

Answer:

Step-by-step explanation:

Equilateral Triangle:

Side of triangle = breadth of rectangle

                         = 28 cm

height = 24 cm

Area of triangle = [tex]\frac{1}{2}base * height\\\\[/tex]

                          = [tex]\frac{1}{2}*28*24[/tex]

                          = 28* 12

                         =  336 square cm

Rectangle:

length = 50 m

breadth = 28 m

Area of rectangle = length * breadth

                              = 28 * 50

                              = 1400 square cm

Diameter of circle = breadth of rectangle

                        d  = 28 cm

                         r = 28/2 = 14 cm

Area of circle = πr²

                      [tex]= \frac{22}{7}*14*14\\\\= 22 * 2 * 14[/tex]

                     = 616 square cm

Area of the remaining portion =  Area of rectangle - area of circle + area of triangle

                                                    = 1400 - 616 + 336

                                                   = 1120 square cm

Perimeter of the figure = 28 + 50 + 28 + 28 + 50

                                       = 184 cm

Hint: Perimeter of the figure. three side of rectangle + two sides of triangle

Answer:

m=45

Step-by-step explanation:

I hour travels 45 minutes

Answer:

m=45h

Step-by-step explanation:

your welcome

Answer:

it cost $9.2972048

Step-by-step explanation:

Answer:

Coach brought 2 orders of fries to the table, and all three orders of fries cost him $6.

Answer: am not 100% sure but shouldn't it be all if them?

Step-by-step explanation:

Answer:

Everything except 2

Step-by-step explanation:

Terms are separated by signs. 2 is the coefficient (number in front of a variable)

Answer:Well the first one is 60

Step-by-step explanation:6!/3!2!=60 thats all i got

Answer:

60 for the first one

Step-by-step explanation: