Mathematics High School

what is the missing term?
1. (x+2)^2 = __ +4x+4
2. (2x-3)^2 = 4x^2+__+9y^2
3. (3x+4)^2 = 9x^2 + 24x+__
4. (x-y)^2= __-2xy+y^2
5. (2x+3y)^2 = 4x^2+__+9y^2

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

The general expansion of (a + b)² is

(a + b)² = a² + 2ab + b²

Applying this to the following expansions

(1)

(x + 2)² = x² + 2(2x) + 2² = x² + 4x + 4 ← missing term is x²

(2)

(2x - 3)² = (2x)² + 2(2x)(- 3) + 3² = 4x² - 12x +9 ← missing term is - 12x

(3)

(3x + 4)² = (3x)² + 2(3x)(4) + 4² = 9x² + 24x + 16 ← missing term is 16

(4)

(x - y)² = x² + 2(x)(- y) + y² = x² - 2xy + y² ← missing term is x²

(5)

(2x + 3y)² = (2x)² + 2(2x)(3y) + (3y)² = 4x² + 12xy + 9y² ← missing term is + 12xy

Related Questions

3/4 -0.8 7/10 -3/4 from least to greatest

Answers

Answer:

-0.8 < -3/4 < 7/10 < 3/4

Step-by-step explanation:

theyre decreasing

Answer:

-0.8, -3/4, 7/10, 3/4

PLEASE HELP I have no idea what I'm doing!!! I'm giving 20 points!!

Answers

Answer:

A

B

C

Step-by-step explanation:

100% correct answers

Answer:

C

Step-by-step explanation:

PLEASE HELP ASAP. what is the total number of miles that jocelyn walks her dog each week? move a number or symbol to each blank to make the equation. if there is no whole number, put a 0 in the first box after the equal sign

Answers

11 1/4 miles. Is how long she walked her dog

Answer:

11 1/4

Hope I helped

at a sport camp, there are sufficient food for 72 athletics to last 6 days. if 18 athletics are absent from the camp, how many more days can the food last for the other athletics? state the assumption made.​

Answers

Answer:

4  

Step-by-step explanation:

dived 72 by 18 and you get 4

5 plus 5 and 6 plus 6

Answers

Answer:

5+5=10

6+6=12

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

5+5=10

6+6=12

add them up

22

list the factors of the following
1. 4
2. 9
3. 20
kindly help plz

Answers

Answer:

1. 1, 2, 4

2. 1, 3, 9

3. 1, 2, 4, 5, 10, 20

Step-by-step explanation:

Answer:

1. 8,12,16,20,24, etc , 2 . 18,27,36,45, etc, 3. 40,60,80,100,120,140 etc

Step-by-step explanation:

Tina recorded these temperatures in one day:

Morning temperature: +8°F
Afternoon temperature: 0°F
Night temperature: −3°F

Which statement is correct based on the given measurements?

The morning temperature was 8 degrees above the night temperature.
The morning temperature was 8 degrees below the afternoon temperature.
The night temperature was 3 degrees below the afternoon temperature.
The night temperature was 3 degrees above the morning temperature.

Answers

Answer: the night temperature was 3 degrees below the afternoon temperature

Step-by-step explanation:

(2x3 + 7x2 - 6x - 8) = (x + 4)

Answers

Answer:

the answer is 2x^2 − x − 2

Solve proportion solve for c 6/18=4/c

Answers

Answer

the answer is c = 12

Explanation

A rectangular parcel of land has an area of 8,000 ft2. a diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel. what are the dimensions of the land, correct to the nearest foot? ft (smaller value) by ft (larger value)

Answers

Answer:

Step-by-step explanation:

Let the area of the rectangle be Length × width

LW = 8000

If the diagonal is 10feer greater than one of its length then:

D = 10+L

Diagonal is represented using the Pythagoras theorem as shown:

D² = L²+W²

(10+L)²= L²+W²

100+20L +L² = L²+W²

From LW = 8000

W = 8000/L

100 + 20L = (8000/L)²

100 +20L = 64,000,000/L²

Cross multiply

100L² + 20L³ = 64,000,000

2L³+10L² = 6,400,000

L³+5L² = 3200000

L³+5L² -3200000 = 0

Answer:

55 ft by 146 ft

Step-by-step explanation:

Given the following :

Area of rectangle = 8000 ft^2

Area of rectangle = length(L) * width(W)

Let length of a side = x

Length of side 2 = 8000 / x

Diagonal = 10 feet longer than one side = (x + 10)

The diagonal is the hypotenus = (x + 10)²:

Hyp² = (8000/x)² + x²

(x + 10)² = (8000/x)² + x²

x² + 20x + 100 = 64,000,000 / x² + x²

20x + 100 = 64,000,000 / x²

(20x + 100) * x² = 64,000,000

20x³ + 100x² - 64,000,000 = 0

x³ + 5x² - 3200000 = 0

Using calculator

x = 145. 71 = 146 ft

8000 / x

8000/145.71

= 54.9 ft

= 55ft

55ft by 146 ft

Please help guys and i will return the favor. ❤️

Answers

Answer:

(2,5), (2,2), (4,1)

Step-by-step explanation:

ok so the coordinates of the first triangle is

(-4,5), (-4,2), (-2,1)

6 units to the right

(2,5), (2,2), (4,1)

the amount of money rachel earns varies directly with the number of hours she works. if sue earns $600 when she works 40 hours , how much will she earn for working 85 hours ?

Answers

Answer:

I think 500

Step-by-step explanation:

600 minus 40 mminus 85

1,275
Explanation : If she earns 600 dollars working for 40 hours, you can find the amount she earns working an hour by dividing 600/40 which will give you $15 an hour. From there it asks how much will she earn working 85 hours, so you multiply $15 by the 85 hours so you get 1,275

how do solving two step problems with inequalities work?

Answers

equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm,find the third sides

What is the equation of the line that is parallel to the
given line and passes through the point (-2, 2)?
O y=1/5x+4
Oy= 1/5x+12/5
O y = -5x + 4
O y=-5x +12/5

Answers

Answer:

y=1/5x+12/5

Step-by-step explanation:

The slope is the same

HELP I NEED THIS ANSWER ASAP OR I FAIL
PLEASE

Answers

Answer: A

Step-by-step explanation:

A recipe calls for 4 cans of 12.6 oz of chicken broth. how many ounces of chicken broth does the recipe require? A. 3.15. B. 8.6 C. 16.6 D 50.4 ​

Answers

Answer:

50.4

Step-by-step explanation:

Answer:

Yes, The correct answer is 50.4 oz

Step-by-step explanation:

i need some help
with math

Answers

Answer:

n = 6

Step-by-step explanation:

5n = 30

Divide each side by 5

5n/5 = 30/5

n = 6

Answer:

n = 6

Step-by-step explanation:

5n = 30

Divide each side by 5

5n/5 = 30/5

n = 6

I need help! 30 points! Will mark brainliest! I'm giving up my rank for this answer! Please!
Solve for a. Show your work: -2(a - 3) = 12

Answers

Answer: a = -3

Step-by-step explanation: First we distribute the -2 to a and -3 to get -2a+6=12, then subtract 6 on both sides, -2a=6, finally divide by -2 on each side to get a = -3.

Hope this helps!

Please consider marking BRAINLIEST!

Chris correctly measured the length of a line segment and his answer to the nearest centimeter. If the rounded measurement is 6cm, what would the most accurate statement about the actual measure of the line segment be?​

Answers

Answer:

The most accurate statement is that the actual measure of the line segment is between 5.5 cm and 6.49 cm

Step-by-step explanation:

Here, given the measurement of the line segment rounded to the nearest cm as 6 cm, we want to give the most accurate statement about the actual measure

What we need here is the set of numbers which can be rounded to 6 cm

From 5.5 cm to 6.49 cm , all the measurements here can be rounded up to 6 cm

So the most accurate statement will be that the actual measure of the line segment is between 5.5 cm and 6.49 cm

The most accurate statement about the actual measure of the line segment be is between 5.56 to 6.49.

The measurement of the line segment rounded to the nearest cm as 6 cm, we need to give the most accurate statement.

What is a line segment?

A line segment is a part of a line that connects two points which are distinct endpoints and contain every point on it.

From 5.56 cm to 6.49 cm, all the measurements here can be rounded up to 6 cm.

So, the most accurate statement will be the actual measure of the line segment between 5.56 cm and 6.49 cm.

Learn more about a line segment here:

https://brainly.com/question/25727583

Solve 5x-8y=19 for y.

Answers

Answer:

-19/8+5x/8

Step-by-step explanation:

Answer:

912

Step-by-step explanation:

8x19= 152

152x5= 760

760+152=

simplify the expression
d + 3cd – 7c + 3cd + 2c

Answers

Answer:

=6cd−5c+d

Step-by-step explanation:

Answer:

d + 6cd - 5c

Step-by-step explanation:

d + 3cd + 3cd + 2c - 7c = d + 6cd - 5c

HELP FAST!!!!!! ITS GETTING TIMED ILL MARK BRAINLYIEST

Answers

Answer: I think the correct answers are 6:9, 3:2, and 18:12.

Step-by-step explanation: Well all these numbers are equivalent to 9:6.

what is 2 to the power of 2 multiply 5​

Answers

Answer: 20

1) simplify 2^2 to 4

4*5

2) simplify

20

Solve the quadratic equation given below by completing the square.
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
x^2 - 2x - 12 = 0

Answers

Halijvjgigigfjcjcjcjcjcjgicudyxuci

NEED HELP ASAP TYSMMM

Answers

Answer: 2

Step-by-step explanation:

they already gave you what x is, all you have to do is plug x in where you see it.

(3)^2 - 5(3) + 8

9 - 15 + 8

pls help ...................

Answers

Answer: Choice D

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

Explanation:

Start by graphing the system of equations

[tex]\begin{cases}x-y = 6\\2x+5y = -4\\ x = -1\end{cases}[/tex]

This is represented as the boundary lines. The first two equations produce solid boundary lines. The last equation makes a dashed boundary line. We use solid boundary lines whenever "or equal to" is involved with the inequality sign.

Note how 7 separate regions result from the intersecting lines. Check out the diagram below to see the different regions.

--------------------------

To graph [tex]x-y \le 6[/tex] which is the same as [tex]y \ge x-6[/tex], we will shade in regions 1, 2, 4 and 5. All of these regions are above the boundary line y = x-6

Ignore any other region (3,6, and 7) since they don't make the first inequality true.

Of regions 1, 4, 5 and 6, only regions 4 and 5 are below the boundary line 2x+5y = -4. So we cross off regions 1 and 6.

We're now down to just two regions: 4 and 5

We cross off region 5 because it is not to the right of the vertical line x = -1

All that's left is region 4. Any point in region 4 makes all of the three original inequalities true.

So the solution will only have region 4 shaded like choice D shows.

Hurry pleasee
The table shows the cost for ordering a certain number of pizzas. What is the value of x if the
cost is proportional to the number of pizzas ordered?
(10 Points)
Pizzas Ordered
2.
3
4
5
Cost
$19.98
$29.97
$39.96
х
$9.99
O $49.95
$59.94
O $29.97

Answers

Answer:

The answer is $49.95

Step-by-step explanation:

I Took the quiz :D i hope this helps <3

If x + 3 = 3x - 1 what is the value of x-1 ?
(hint: solve the first equation and Then substitute into the 2nd expression)

Answers

Answer: x=2.5, and x-1=1.5

Step-by-step explanation:

x + 3 = 3x - 1

(-x)= 3 = 2x - 1

(÷2) = 1.5 = x - 1

(+1)= 2.5 = x

Use the drawing below for this problem.
53°
32
Which of the following angles has a measurement equal to 127°?
21
b.
a.
c.
d. 24

Answers

A. Angle 1 is your answer

What is the answer

45w + 123.95 = 753.95

Answers

subtract 123.95 from both sides

45w = -630

divide both sides by 45

w = -14

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