The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectangle.

Answer:

(10, 2)

Step-by-step explanation:

To get from the given endpoint to the midpoint, 6 was added to x and 2 was added to y. As per the definition of a midpoint, the resulting two line segments will be congruent (first endpoint and midpoint congruent to midpoint and second endpoint). Use the same formula (x + 6, y + 2) to find the second endpoint (use the x and y of the midpoint):

(x + 6, y + 2)

(4 + 6, 0 +2)

(10, 2)

Answer:

Step-by-step explanation:

[tex]Midpoint (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\(\frac{x_{1}-2}{2},\frac{y_{1}-2}{2})=(4,0)\\\frac{x_{1}-2}{2}= 4 ; \frac{y_{1}-2}{2}=0\\\\x_{1}-2=4*2 ; y_{1}-2=0\\\\x_{1}-2= 8 ; y_{1}-2=0\\\\x_{1}=8+2 ; y_{1}=0+2\\\\x_{1}=10 ; y_{1}=2\\[/tex]

Endpoint  ( 10, 2)

Answer:

You simply multiply the second equation by -4/21

Answer:

There is no x in the second equation

Answer:

(5,-2)

Step-by-step explanation:

Multiplying the first equation by 2 we get

2x+6y=-2

Subtracting the second equation we get

4y=-8

y=-2

Plugging y as -2 into the equation we get x=5

Answer:

(5, -2)

Step-by-step explanation:

x + 3y = −1  

2x + 2y = 6 ⇒ x+y=3

Subtract second equation from the first one:

Answer: the probability that the student scored 573 or greater on the exam is 0.31

Step-by-step explanation:

Let x be the random variable representing the math scores on the SAT exam. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 514

σ = 118

the probability that the student scored 573 or greater on the exam is expressed as

P(x > 573) = 1 - P(x ≤ 573

For x = 573,

z = (573 - 514)/118 = 0.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.69

P(x > 573) = 1 - 0.69 = 0.31

Answer:

6 inch

Step-by-step explanation:

half the diameter to find the length

The outer edge length of one piece of the cut circle is  3π / 2 inches

The diameter of a circle is a line that passes through the centre and meets the circumference at opposite ends.

The circle representing the pizza is 12 inches in diameter. The radius is half of the diameter. Therefore,

radius = 12 × 0.5 = 6 inches

The circle is cut into 8 congruent pieces. The length of the outer edges of any one piece of the circle can be calculated as follows;

circumference of the circle = 2πr

circumference of the circle = 2 × π × 6 = 12π inches

Now let's divide it into 8 part.

edge length of one piece of the circle = 12π / 8 = 3π / 2

learn more on diameter here: https://brainly.com/question/231870

Answer: interest = 180

Amount 1000 + 180 = 1180

Step-by-step explanation:

SI = prt / 100

(1000 x 3 x 6)/100

18000/100 = 180

Answer:

15.6

Step-by-step explanation:

First, multiply the midpoint of each class by its frequency, as follows:

            Class      midpoint   frequency   midpoint*frequency  

            0-9         4.5             24                4.5*24 = 108

            10-19      14.5            20                14.5*20 = 290

            20-29    24.5           32                24.5*32 = 784

Total                                      76               1182

The mean is computed as the division between the addition of the "midpoint*frequency" column by the addition of "frequency" column.

mean = 1182/76 ≈ 15.6

Answer:

I would rather have the pool that is 40ft x 9ft x 4ft.

Step-by-step explanation:

I hope this helps!

Answer:

840[tex]cm^{2}[/tex]

Step-by-step explanation:

8×6×15=720

5×6×4=120

720+120=840

Answer:

V= 840cm^3,   V=800cm^3

Step-by-step explanation:

First you want to calculate the volume of the entire imaginary prism, 12×15×6

=1080,

afterwards you want to calculate the missing volume, which you can think of as a bite. First, find the sides.

12-8=4            5-15=10

Now calculate the volume of the bite, 4×10×6

=240

Now take the bite out of the sandwich, 1080-240

= 840

Follow the same steps, though this time the sides of the "bite" are given.

10×12×8

= 960

4×5×8

= 160

960-160 = 800 cm

Answer:

105 degrees

Step-by-step explanation:

Corresponding angles

Answer:

x = 105⁰( corresponding angles)

Answer:

The answer is -54. Please mark as brainliest :)

Step-by-step explanation:

Y is directly proportional to x. So....

y=kx

6=-2k

-3=k.

y=-3*18

y=-54.

The answer of question no 5 is 46

The answer of question no 6 is 79

Look at the attached picture

Hope it will help you

Answer:

506 square inches

Step-by-step explanation:

length=22 inches

breadth=23 inches

area=length *breadth

area=22*23=506 squareinches

Answer:

506 inches

Step-by-step explanation:

22 times 23 equals 506 inches.

Answer:

D :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

$55

Step-by-step explanation:

do PEMDAS

do parenthesis first

then multiply

6.75 plus 4.25 is 11

multiply 11 by 5

Answer:The answer is D the last one.

Answer:

D on edu

Step-by-step explanation:

Answer: The answer is C. C in your given options.

Step-by-step explanation:

 Learn baseball    Do not learn baseball      Total

Learn basketball                    0.63                        0.37                             1

Do not learn basketball        0.84                         0.16                             1

Total                                       0.72                         0.28                             1

Answer:

C

Step-by-step explanation:

Learn baseball    Do not learn baseball      Total

Learn basketball                    0.63                        0.37                            

Do not learn basketball        0.84                         0.16                            

Total                                       0.72                         0.28                            

Hope this helps!

Answer:

y=2x+3

Step-by-step explanation:

Answer:

y=2x+3

Step-by-step explanation:

Answer:

proper answer pls

Step-by-step explanation:

Answer:

3 m is the displacement

Step-by-step explanation:

because the distance traveled is how much you really move necessarily is the distance from where you started to where you ended in a sraight line, not every single move you made, and the displacement is how much you moved altogether in any and every direction even if you went in circles. hope this helps!! love yawl, stay safe!! <3 <3 <3 <3 <3 <3 <3

The displacement of the cart will be "3 m".

Towards the right,

The distance covered by the cart is:

= 2 m

Towards the left,

The distance covered:

= 1 m

hence,

→ [tex]Total \ distance = Sum \ of \ the \ distances[/tex]

                           [tex]=2 +1[/tex]

                           [tex]=3 \ m[/tex]

So the above answer is correct.

Learn more about the displacement here:

https://brainly.com/question/17251554

Answer:

x = 2, x = - 2

Step-by-step explanation:

3x² - 12 = 0

3x² = 12

x²= 12/3

x²= 4

√x² = +/- √4

x = +/- 2

x = 2, x = -2

Answer:

Step-by-step explanation:

[tex]\frac{6x^{3}-18x^{2}-12x}{-6x}=\frac{6*x^{3}-6*3*x^{2}-6*2x}{-6x}\\\\=\frac{6x*[x^{2}-3x^{1}-2]}{-6x}\\\\=\frac{x^{2}-3x-2}{-1}\\\\\\=-x^{2}+3x+2[/tex]

Answer: 450 ft.

Step-by-step explanation:

h = 2250 - 150*12

h = 2250 - 1800

h = 450

The height after 12 min is 450 ft

Answer:

450

Step-by-step explanation:

-2250  - 150 x 12

-2250 -  -1800

-450 put in postive

-276

Hope this helps

Answer: To fill the rectangular prism, 4 cubes are needed.

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of the prism and divide it by the volume of one cube:

Volume of a rectangular prism = Length x width x height

V P = 6x3x412 = 7,416 cm3

Volume of a cube = side length^3

VC = 12^3 = 1,728 cm3

Finally;

Volume of the prism / volume of one cube = 7,416 /1,728 = 4.29 = 4 cubes

Feel free to ask for more if needed or if you did not understand something.

Answer:

I'm pretty sure he is correct but I have not completed the test quite yet. Refer to him if you want.

Step-by-step explanation:

Three $20 bills is a total of $60

$60 - $12 = $48

He spent a total of $48 on the books

Divide the total spent by the number of books:

48 / 3 = 16

Each book cost $16

Answer:$12 per book

Step-by-step explanation: $20 x 3= $60

If you have $12 change you minus that from the $60

Now that is $48 for 4 books.

To work out one book you do $48/4 which is $12 per book.

Answer:

option B

Step-by-step explanation:

We can see in the graph that the function has two values of x where the value of y goes to infinity: x = -6 and x = 6.

These points where the value of the function goes to infinity usually are roots of the polynomial in the denominator of a fraction (when the values of x tend to these values, the denominator of the fraction tends to 0, so we have a discontinuity in the function).

So the option that represents a function that have these points in x = -6 and x = 6 is the function in option B.

The other options show functions that have only one point that goes to infinity.

Answer:b

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/4

0.75= 75/100=3/4

-3=-12/4

The following is a rational number and represents them on the same number line:1/4 0.75 and -3 is

1/4

0.75= 75/100=3/4

-3=-12/4

A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0. Some of the examples of rational numbers include 1/3, 2/4, 1/5, 9/3, and so on.

A rational number is any number that can be expressed as a fraction or ratio of two integers. For example, 3/4, 8.75, 2, and -6 are all considered rational numbers. Note that integers, or "whole numbers", are rational numbers. This is because they can be expressed as fractions.

Learn more about the rational numbers at

https://brainly.com/question/12088221

#SPJ2

Answer:

m=50

Step-by-step explanation:

m=4a+2c

m= 4(10)+2(5)

m= 40+10

m=50

Answer:

B 6/12

Step-by-step explanation:

The first step is to set up your fraction like so:  [tex]\frac{2}{3} x \frac{3}{4}[/tex]

Next you will multiply across the top 2·3=6 (this will become your numerator)

Then you will multiply across the bottom 3·4=12(this will become your denominator)

if asked it can be simplified to 1/2 if not your final equation will look like: