A basketball court is in the shape of a rectangle. It has a length of (x - 7) meters and a width of (x + 3) meters:
(x-7)(x + 3)
Which of the following simplified expressions represents the area of the basketball court in square meters?
-6x + 3
ox2 - 21
ox2 - 4x - 21
ox² - 7x + 3

Answers

Answer 1

Answer:

x2 - 4x - 21

Step-by-step explanation:

Area = (x -7 )(x +3)

= x*x - 7*x + x*3 - 7*3

=x2 - 4x - 21


Related Questions

Use the Counting Principle to find the probability.

rolling a 1 on each of 4 number cubes?

Answers

Answer:

1 / 1296

Step-by-step explanation:

Rolling a 1 for one of the cubes is 1 / 6

1 / 6 * 1 / 6 * 1 / 6 * 1 / 6 = 1 / 1296

Answer:

1 / 1296

Step-by-step explanation:

We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on 1 cubes.

We know the probability of rolling a 4 on one cube will be .  the probability of rolling 4 in each of the individual cubes will be .

But we want 4 to be rolled on 1 cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the 1 cube is  which simplifies to . 1 / 1296

Hope this helps

a box measures 1/3 ft.long, 1/4 ft. wide, and 1/6 ft. high. find the volume of the box in inches. do not incluye units in your answer​

Answers

Answer:

23 in

Step-by-step explanation:

Convert the stuff they gave you to inches 4*3*2= 23

then use the volume formula

i hope this helped <33

What is the volume of the right cone below?

Answers

Answer:

The answer is A.

Step-by-step explanation:

You have to use the formula of volume of cone,

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Given that the diameter of cone is 10 units so the radius is 5. Then substitute the followung values into the formula :

Let r = 5 units,

Let h = 45 units,

[tex]v = \frac{1}{3} \times \pi \times {5}^{2} \times 45[/tex]

[tex]v = \frac{1}{3} \times \pi \times 1125[/tex]

[tex]v = 375\pi \: \: {units}^{3} [/tex]

Answer:

[tex]375\pi \: \: units ^{3} [/tex]

Answer A is correct.

Step-by-step explanation:

[tex]v = \pi {r}^{2} \frac{h}{3} \\ =\pi \times 5 \times 5 \times \frac{45}{3} \\ = \pi \times 25 \times 15 \\ = 375\pi \: \: units ^{3} [/tex]

Please, someone, help me quickly!!

Answers

Answer:

(B)

Step-by-step explanation:

The value of 9 is more than the value than 4.

Therefore,

9 > 4.

4 is not greater than 9, and nine is not less than four.

Brainilest Appreciated!

Ben makes $39,600 a year. What the maximum amount he can afford for a mortgage each month ?

Answers

Answer:825

Step-by-step explanation:


A running track is 1/4 of a kilometre. What is the
total distance a runner travels if he goes three
times round the track?
How many times would you have to go round the
track to run 2 kilometres?
Willow has read 1/7 of the books in the library.

Answers

Answer:

If a runner went around the track 3 times, he would have ran 3/4 of a kilometre. He would have to run around the track 8 times to run 2 kilometres.

Step-by-step explanation:

Answer:He would have to go around the track 8 times to get 2 kilometers

Step-by -step explanation:

polynomial division
(4x^2 +7x +6) ÷(x+ 2)​

Answers

Answer:

4x2 + 7x - 6

 ————————————

    x - 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are many methods but I give you the factorisation:

[tex]4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8[/tex]

So

[tex]\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\ \\=4x-1 +\frac{8}{x+2}[/tex]

That means the quotient is 4x-1 and the remainder is 8.

Please help me!! I don't get this question! I will mark Brainliest!

Circle A has a diameter of 4 inches, a circumference of 12.56 inches, and an area of 12.56 square inches. The diameter of circle B is 2 inches, the circumference is 6.28 inches, and the area is 3.14 square inches. SHOW ALL STEPS.

Part A: Using the formula for circumference, solve for the value of pi for each circle. (10 points)

Part B: Use the formula for area and solve for the value of pi for each circle. (10 points)

Part C: What observation can you make about the value of pi for circles A and B? (10 points)

Answers

Answer:

Part A:

Formula for circumference: C = diameter x pi

=> pi = C/diameter

=> pi(A) = 12.56/4 =3.14

=> pi(B) = 6.28/2 = 3.14

Part B:

Formula for area: A = radius^2 x pi = (diameter/2)^2 x pi

=> pi = A/(diameter/2)^2

=> pi(A) = 12.56/(4/2)^2 = 12.56/4 = 3.14

=> pi(B) = 3.14/(2/2)^2 = 3.14/1 = 3.14

Part C:

pi(A) = pi(B) = 3.14 in both ways of calculation derived from circumstance and area.

=> pi is a constant value: 3.14

Answer:

A) pi = 3.14

B) pi = 3.14

C) pi has the same value for all calculations, pi is a constant

Step-by-step explanation:

Circumference = pi × d

12.56 = 4 × pi

pi = 3.14

6.28 = 2 × pi

pi = 3.14

Area = pi × r²

12.56 = pi × (4/2)²

12.56 = 4pi

pi = 3.14

3.14 = pi × (2/2)²

3.14 = pi

37.5(3.8-x)+90x=300 please help me

Answers

Answer:

I’m just copying his answer which is 3

Step-by-step explanation:

at least I tried

Answer: 3

Step-by-step explanation:

37.5 (3.8-x) + 90x = 300

First, you have to simplify, by using the Distributive Property.

142.5 - 37.5x + 90x = 300

Now, add the like terms

142.5+ 52.5x = 300

Now, isolate the variable, meaning the variable has to be on one side on its own. You would have to subtract 142.5 and move it to the other side

52.5x = 300 - 142.5

52.5x = 157.5

Then, you divide!

[tex]\frac{52.5x}{52.5x}[/tex] = [tex]\frac{157.5}{52.5x}[/tex]

= 3

The frequency table represents the results of a survey comparing the average age of household members to the way that they watch non-network television. A 4-column table with 3 rows titled Television Viewing Method. The first column has no label with entries internet, cable, total. The second column is labeled average household age under 40 with entries 54, 81, 135. the third column is labeled average household age 40 or older with entries 23, 92, 115. the fourth column is labeled total with entries 77, 173, 250. Madigan converts the frequency table to a conditional relative frequency table by row. Television Viewing Method A 4-column table with 3 rows titled Television Viewing Method. The first column has no label with entries internet, cable, total. The second column is labeled average household age under 40 with entries W, Y, 0.54. The third column is labeled average household age 40 or older with entries X, Z, 0.46. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Which value should she use for X? Round to the nearest hundredth. 0.09 0.20 0.25 0.30

Answers

Answer:

For X they would have to divide the number from the first given chart for average household of the people that are ages 40 or under, which is 23, by the total internet, which is now 77.

Therefore, X = 23/77 = 0.2987, which would round to 0.30

Mark as brainliest please, I need a few more :)

Answer:

.30

Step-by-step explanation:

                 < 40      > 40    total

internet       54        23     77  

cable          81        92      173  

total            135       115     250

                 < 40      > 40    total

internet      w       x     1  

cable          y          z      1

total            .54       .46     1

x is 23 /77 =.29870

Find the 43rd term of each sequence.
1. 21,12,9,3,...

Answers

Answer:

-231

Step-by-step explanation:

21, 12, 9, 3,...

Below is image

Answer:

-357

Step-by-step explanation:

a + (n-1)d

21+(42)(-9)

21-378

If a cube has a volume of 27mm3,
what is the length of one side?

Answers

Answer:

Step-by-step explanation:

Answer:

9mm

Step-by-step explanation:

since volume is l x w x h, you have to divide 27 by 3. you can do this because it is a cube

Tomas selects one of these garments at random. Let AAA be the event that he selects a blue garment and let BBB be the event that he chooses a shirt.
Please help!!!

Answers

Answer:

can u explain it more lol

Step-by-step explanation:

1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

Thomas has 1 blue shirt

Thomas has 1 green shirt

Thomas has 1 blue hat

Thomas has 1 green scarf

Thomas has 1 blue pair of pants

Thomas has 1 green pair of pants

So, number of blue garments = 3

Number of shirts = 2

Total garments =6

What is probability?

Probability is the measure of the likelihood of an occurrence.

P(event) = Favorable outcomes / Total outcomes

P(blue garment) = 3/6 =1/2

P(shirt) = 2/6 =1/3

Hence, 1)The probability of choosing a blue garment is 1/2

2)The probability of choosing a shirt is 1/3.

To get more about probability visit:

https://brainly.com/question/24756209

Factor out the Greatest Common Monomial Factor 8a + 86

Answers

Answer:

-1.12044185014

Step-by-step explanation:

i think this is the answer. i looked it up.

Answer:

2(4a + 43)

Step-by-step explanation:

8a + 86

2(4a + 43)

Solve for x.

x + 23 = -22

Enter your answer in the box.

Answers

Answer:

X= -45

Step-by-step explanation:

Subract 23 from both sides to solve for x.

Answer:

x = -45

Step-by-step explanation:

x + 23 = -22

x = -22-23

x = -45

Please help me out! i have a few more of these questions, about 5

Answers

Answer: You could plot the points  (0,-2) ( 1,0) ( 2,2) (3,4) ( 4,6) (5,8) ( -1,-4) (-2.-6)

Step-by-step explanation:

y= 2x - 2

x      y

0    -2

1       0

2      2

3        4

4        6

5          8

-1        -4

-2            -6

Simplify the expression

Answers

Answer:

 x^(3)y^(4)\sqrt(2)

Step-by-step explanation:

Select the table that represents a linear function.

Answers

Answer:

D

Step-by-step explanation:

A linear function has a constant slope. Meaning that for any equal change in x, there will be an equal change in y.

A letter L with a height of 9 inches is drawn on the actual flag. What should be the height and inches of a letter L in the scale drawing? Explain plzzz....

Answers

Answer:

0.5 inch on the drawing

Step-by-step explanation:

The following information is missing:

The scale factor of the drawing to the actual flag is represented by the ratio 1:18.

This scale factor means that 1 inch on the drawing are equivalent to 18 inches o n the actual flag. We want to know the height on the drawing, given that a height of 9 inches is drawn on the actual flag. The following proportion must be satisfied:

1 inch on the drawing / x inch on the drawing = 18 inches o n the actual flag / 9 inches o n the actual flag

x = 9/18 = 0.5 inch on the drawing

In the expression 16x + 2x – 5y + 17, which terms are “like terms”?

Also i didn't mean to say exam on last question, turns out it was a quiz, my bad it just has alot of questions over 4, it has 6.

Answers

the like terms are 16x and 2x

Answer:

16x and 2x have like terms

-1 3/7 • (-3 2/5)
Find the product simplify if possible

Answers

Answer:

6 4/5

Step-by-step explanation:

-1 3/7 • (-3 2/5)

Let's turn them both into fractions with no whole numbers to make this easier:

-10/7 • -17/5

Now we can multiply straight across much easier!

170/35 (the negatives canceled each other out)

34/5 (simplified)

6 4/5 (answer)

Hope this helps! Please mark Brainliest :)

Asphere and a cylinder have the same radius and height. The volume of the cylinder is 64 m3.
hl
.

Answers

Answer:

r=21.3 h=32

Step-by-step explanation:

Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x – 2 points
4. What equation represents the area of the floor?

Answers

Answer:

(6x+5)(9x-2)

Step-by-step explanation:

Area = Length x Width

Answer:

54[tex]x^{2}[/tex] +33x - 10

Step-by-step explanation:

you have to use F.O.I.L.  First Outter Inner Last

(6x + 5)(9x - 2)

First (6x)(9x)         = 54 [tex]x^{2}[/tex]

Outter (6x)(-2)      = -12x

Inner (5)(9x)         = 45 x

Last (5)(-2)            = -10

combine middle terms

54[tex]x^{2}[/tex] +33x - 10

Please help me as soon as possible!

Answers

0.5 is the answer

......

If A = (0,0) and B = (6,3), what is the length of AB?
O A. 6.24 units
O B. 7.73 units
O C. 5.20 units
O D. 6.71 units

Answers

Answer:

D. 6.71 units

Step-by-step explanation:

In order to solve this, we need to use the distance formula, which states that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Here, we have (0, 0) and (6, 3), so:

d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

d = [tex]\sqrt{(3-0)^2+(6-0)^2}=\sqrt{9+36} =\sqrt{45} =3\sqrt{5}[/tex] ≈ 6.71

The answer is thus D.

Answer:

D 6.71 units

Step-by-step explanation:

AB² = (6 - 0)² + (3 - 0)²

AB² = 36 + 9

AB² = 45

AB = 3sqrt(5)

Approximately 6.71

Pls someone I need help

Answers

Answer:

B. Dan walked uphill, then downhill.

Step-by-step explanation:

The place that the slope went up is based on the distance from the starting point, so the distance is up then down. I hope this helped and please mark me as brainliest!

What is the slope line through (-5,-10) and (-1,5)

Answers

Answer:

5

Step-by-step explanation:

Slope is equal to the change in y over change in x.

-10-5/-5-(-1)= -15/-4= 15/4

Therefore the slope is equal to 15/4

Find the domain and range

Answers

Answer:

Domain: x = all reals

Range: y is less than or equal to -4

What is the point-slope form of a line with slope -3 that contains the point
(10,-1)?
A. y+ 1 = 3(x + 10)
B. x + 1 = -3(y-10)
C. y + 1 = -3(x-10)
D. y + 1 = 3(x-10)

Answers

Answer:

C

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula.

The point slope formula is:

[tex]y-y_{1} =m(x-x_{1})[/tex]

where m is the slope, and (x1, y1) is the point given.

We know that the slope is -3, and the point given is (10, -1)

Therefore, our m is -3, x1 is 10, and y1 is -1.

y- -1 = -3(x-10)

y--1 is the same as y+1

y+1= -3(x-10)

Therefore, choice C is correct.

Name the values represented by the box plot.

Lower quartile:

Upper quartile:

Median: ​

Answers

Answer:

Lower quartile=46

Upper Quartile=52

Median=48

Step-by-step explanation:

Look at the three dots on/in the plot the first one is the lower quartile and the middle is the median and the last one in the box plot  (52)is the upper quartile, the ones on the outsides are the minimum and the maximum.

Other Questions
Graph the inequality of y less than or equal to2x + 2? :What is 475.189 rounded to the nearest hundredth? SC Bookmarks3-2: MathXL for School: Practice & Problem Solving3.2.PS-8Find the value of x when 6 - 2x = 5x - 9x + 10.The value of x is Why did the United States go to war with Afghanistan?O.Because Afghanistan was developing nuclear weapons.?O.Because the Taliban was protecting AI Qaeda.?O.Because Afghanistan was under Soviet control.?O.Because the Taliban was an ally of North Korea.? Do roots, leaves, or stems do more in photosynthesis in plants? need some help with this question . The pet store salesman told Evan to feed his dog 8 ounces of food per day. The food is sold in pounds. How many pounds does Evan need to buy for 2 weeks of feeding his dog? (16 ounces = 1 pound)? 1. My little boy is suffering ----- jaundice. (a) from (b) of (c) for (d) with (e) against 2. The Chairman of the Company was very sympathetic ---- his staff. (a) to (b) at (c) for (d) from (e) on 3. You should show some consideration ---- the feelings of others. (a) with (b) about (c) by (d) to (e) for 4. The meeting starts ---- two o'clock. Please be punctual. (a) about (b) in (c) on (d) at (e) around 5. Every time you pay a bill, you must insist ---- being given a receipt. (a) in (b) from (c) on (d) by (e) onto 6. The elections ---- the Senate were held in July. (a) into (b) of (c) from (d) onto (e) on 7. There is a filling station ---- the corner, to your right. (a) about (b) by (c) from (d) around (e) to 8. He traveled to Jos ---- train when he came last month. (a) by (b) in (c) on (d) inside (e) through 9. They tried to cash in ---- the people's ignorance. (a) under (b) against (c) about (d) with (e) on 10. He looked ---- everyone in authority as an enemy. (a) on (b) at (c) in (d) about (e) against How does a car batteray NOT die? = / = Please Find the surface area of the sphere. Round your answer to the nearest hundredth. Can someone write me an acrostic poem about "SHOES" or "SNEAKERS"Or you could do something related to sneakers, like "LACES" or "SOLES"that would be awesome! im really not trying to fail this mid term exam on history help?what is imperialism?A- The political desire to bring economic prosperity to ones country.B- The building of secret alliances among powerful nations.C- The economic and political domination of a strong nation over weaker ones. D- The internal expansion of territories within ones own borders. States with the largest populations_____ A. send fewer representatives to the HouseB. have fewer representatives placed on committeesC. send more representatives to the HouseD. have more representatives placed on committees Megan has a bag containing 5 pink marbles, 3 orange marbles, 6 green marbles, and 2 yellow marbles.Megan started to develop a probability model. Here is the sample space.S = {P, P, P, P, P, O, O, O, G, G, G, G, G, G, Y, Y}Part Aput in order where it would go on the table 2/16, 3/16, 5/16, 6/16 Help Megan complete the model by assigning probabilities to the four listed events. Drag each fraction to the correct probability.Part BSuppose Megan drew a marble 80 times. Estimate how many times she should expect to draw an orange marble. Megan would draw an orange marble ____ times. Think about a time when someone made a biased judgment about you or acted unfairly toward you because of your age, skin color, clothes you were wearing, gender, the way you speak, where you live, how much money your family has, or some other reason.Why do you think those assumptions were made about you?How did that experience make you feel?How do you think you should have been treated in that situation? The surface of the villi in the small intestine is covered by a single layer of epithelial cells called enterocytes. Enterocytes absorb nutrients from the intestinal lumen as they move up the side of the villus. The enterocytes are shed from the end of the villus through apoptosis after 3 to 4 days. Consequently, new cells must be continuously supplied from the crypt and move up the villus. When a stem cell in the crypt divides, what are its immediate daughter cells A customer seeks to buy a new computer for a private use at home.The customer primarily needs the computer to use the Microsoft PowerPoint application for the purpose of practice presentation skills.As a sales person what size hard disc would you recommend and why? Lee y escoge la opcin con la palabra o palabras correctas para completar la frase. Read and choose the option with the correct word or words to complete the sentence. En ________ venden comida, ropa y artculos para la casa. (1 point) Group of answer choices la iglesia el estadio la tienda el lago please help me with this!!! Before mitosis begins, which happens before the nucleus starts dividing?The DNA replicates.The cytoplasm separates.The sister chromatids separate.The homologous chromosomes cross over.