A
rectangular piece of wood has an area of
5x4 + 3x²-6x + 8. If two identical
circles are cut out of the wood and
the area of EACH circle is x²-2.
Find the area of the remaining piece
of wood.

Answers

Answer 1

Answer: [tex]5x^4+x^2-6x+12[/tex]

Step-by-step explanation:

Given

The area of the rectangular piece of wood is [tex]A_1=5x^4+3x^2-6x+8[/tex]

The area of each circle is [tex]A_2=x^2-2[/tex]

Area of the remaining piece of wood

[tex]\Rightarrow A_1-2A_2\\\Rightarrow 5x^4+3x^2-6x+8-2(x^2-2)=5x^4+x^2-6x+12[/tex]


Related Questions

Joey went bowling at the Frank's Bowling Center. Shoe rental was $1.25 and games
were $1.50 each. If he spent $8.75 on shoe rental and games, how many games did
he bowl?
HELP PLS

Answers

Answer:

5 games

Step-by-step explanation:

1.50x + 1.25 = 8.75

1.50x = 7.50

x = 5

Five times a number is 30?

Answers

Answer:

oh 5 x 6 = 30

Step-by-step explanation:

Hope this is helpful! Have an amazing night or day!

5 x 6 = 30
5x1=10
5x2=10
5x3=15
5x4=20
5x5=25
5x6=30
5x7=35
5x8=40
5x9=45
5x10=50

Can anyone give me the answer and tell me how you did it?

Mary sells fruit with four of her friends. They want to make enough money so that, after splitting the earnings evenly,each person earns $30.


Solve the equation for this problem.

After you find the answer you need to find out if its cents, dollars,partners,or fruit

Thank you!

Answers

Answer:

the answer is 150

Step-by-step explanation:

What are the answers ?

Answers

Answer:

All of the answers if you consider the dashes both negative and positive, but if they are negative then its the last 3 only.

Step-by-step explanation:

a) josie makes fruit punch by mixing fruit juice and lemonade in the ratio 3:4, she needs to make 49 litres of punch for a party. how much of each ingredient does she need (in lires)

b) During the party josie decides tio make some more. she has 15 litres of fruit juce left and plenty of lemonade. how much extra punch can she make? (answer in letres)

c) to make the second batch of punch go further josie adds 4 more lires of lemonade. what is the ratio of fruit juice and lemonade in the second batch? (answer in ratios e.g 5:9)

Answers

Answer:

1. Josie needs 21 litres of fruit juice need 28 litres of lemonade.

2. Josie can make an extra of 35 litres of punch.

3. 5:8

Step-by-step explanation:

a) The ratio of the fruit juice to lemonade = 3:4

Total litres of punch to be made = 49

Amount of fruit juice needed = [tex]\frac{3}{7}[/tex] x 49

                                                 = 21 litres

Amount of lemonade needed = [tex]\frac{4}{7}[/tex] x 49

                                                  = 28 litres

Thus, she would need 21 litres of fruit juice need 28 litres of lemonade.

b) She has 15 litres of fruit juice left. Let the litres of punch to be made be represented by s.

[tex]\frac{3}{7}[/tex] x s = 15

s = 35

Josie can make an extra of 35 litres of punch.

c) For the second batch, she needs;

15 litres of fruit juice needs 20 litres of lemonade.

But adding 4 more litres to the lemonade makes the total litres of lemonade to be 24.

Thus the ratio of the juice to lemonade = 15:24

                                                                 = 5:8

y= 5x2+ 10x - 2
A =
opens=

vertex=

Answers

Axis of symmetry: x= -1
Vertex: (-1 , -7)
Opens Up
No asymptotes

1.
Solve for x=
35, 103

Answers

Given:

A figure of a circle with secants intersecting inside the circle.

To find:

The value of x.

Solution:

According to the intersection theorem of secants, if two secants intersect each other inside the circle, then the angle on the intersection is the average of the intercepted arcs.

Using the intersection theorem of secants, we get

[tex]x^\circ=\dfrac{1}{2}(35^\circ+103^\circ)[/tex]

[tex]x^\circ=\dfrac{1}{2}(138^\circ)[/tex]

[tex]x^\circ=69^\circ[/tex]

[tex]x=69[/tex]

Therefore, the value of x is 69.

can someone help me on this one!

Answers

Answer: Pay less sells the lowest price per marker.

Step-by-step explanation:

To get to one marker divide 10 by 10 and do same to other side. EX. 10/10=1, 2.50/10=0.25

To get to one marker divide 20 by 20 and do same to other side. EX. 20/20=1, 4.00/20= 0.2

Leo’s dad brought home some bagels and muffins. Each bagel cost $0.90 and each muffin cost $0.80. Altogether he brought home 9 items for a total cost of $7.60.

Answers

Answer:

Leo's dad bought 4 bagels and 5 muffins.

Step-by-step explanation:

The total cost was 7.60, and had 9 items. I figured that the solution of           (__ x 0.9) needed to end with 60 cents.

4 x 0.9 = 3.6

5 x 0.8 = 4.0

3.6 + 4.0 = 7.60.

Total of 9 items, adding up to 7.60.

Do you guys know the answers to these?

Answers

Answer:

The first one is 0 slope.

The second one undefined slope.

Step-by-step explanation:

I hope it helps you!!!:-)

Select the correct answer.
Select the place where the digit 6 sits in this number.

7,614,118,872

A.
hundred millions
B.
hundred billions
C.
one thousands
D.
hundred thousands
E.
ten billions
F.
one billions

Answers

It’s hundred millions A is correct

Answer:

A. Hundred millions.

Step-by-step explanation:

Growing up, the easiest method I've found in terms of finding which place a number is is as follows: change the number you're looking for into a 1, change everything after it into a 0, drop everything before it, and ask yourself what that number is. That may seem a little odd, but here's some examples.

Let's say we have the number 91,582. We want to figure out what place the 5 is in. First, let's change the 5 into a 1, like so: 91,182. Next, we'll change all the numbers afterwards into 0s, like so: 91,100. Finally, we'll drop every number before the 1, leaving us with 100. Now, ask yourself what that number is. It's one hundred. That means that the 5 is in the one hundreds place.

Let's apply this to our given number. First, let's go ahead and change our 6 into a 1: 7,114,118,872. Next, let's change all the numbers after the 1 into 0s: 7,100,000,000. Finally, let's drop all numbers before our 1: 100,000,000. Our final number is one hundred million. This means that the 6 is in the one hundred millions place. Please let me know if you have any questions!

Find the length of XY

Answers

Answer:

the length of xy =6ft

I hope this help

algibric equations that equal 13

Answers

(1-2+3•(45/5)/2 that equals 13

What is the value of x? (attachment)

Answers

Answer:

[tex]5\sqrt{2}[/tex]

Step-by-step explanation:

What should be added to x2 +xy+y2 to obtain 3x2 - 4xy - y2​

Answers

Answer:

2x² - 5xy - 2y²

Step-by-step explanation:

Subtract x² + xy + y² from  3x² - 4xy - y² to obtain the expression to be added

3x² - 4xy - y² - (x² + xy + y² ) ← distribute by - 1

=3x² - 4xy - y² - x² - xy - y² ← collect like terms

= 2x² - 5xy - 2y²

Thus

adding 2x² - 5xy - 2y² to x² + xy + y² gives 3x² - 4xy - y²

Suppose you always eat a particular brand of cookies out of the standard sized package it comes in from the store. You notice that when you eat 3 at a time, there's always 1 cookie left over. You decide when you purchase the next package, you'll eat 5 at a time, but still, there's always 1 cookie left over. Since it really isn't helpful to always have a leftover cookie, you decide to eat 7 at a time, and there are no cookies leftover. If you know there are less than 100 cookies in the package, how many cookies are there?

Answers

Answer:

There are 91 cookies in the package of cookies

Step-by-step explanation:

The given parameter for the number of cookies are;

The number of cookies left when eating 3 at a time = 1 cookie

The number of cookies left when eating 5 at a time = 1 cookie

The number of cookies left when eating 7 cookies at a time = No cookie leftover

Let 'n' represent the number of cookies in the pack, let 'a', 'b', and 'c' be the multiples of 3s, 5s, and 7s in 'n', respectively, we have;

The number of cookies in the pack, n < 100

Therefore, we have;

3·a = n - 1

5·b = n - 1

7·c = n

∴ n - 1 is a multiples of 3 and 5 less than 100 which are;

15, 30, 45, 60, 75, and 90

Therefore, the possible values of 'n' are'

n = n - 1 + 1 = 15 + 1 = 16, 30 + 1 = 31, 45 + 1 = 46, 60 + 1 = 61, 75 + 1 = 75, 90 + 1 = 91

Multiples of 7 includes;

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, and 98

Therefore, n = 91 which is the number that appear simultaneously in both search

The number of cookies in a package = 91 cookies

Write the equation in slope and y intercept. Then write an equation in y=mx+b form.

Answers

Answer:

y=x+1 with slope of 1 and y-intercept of 1.

Step-by-step explanation:

Jai bought 2 pounds of grapes for $2.49 per pound and 3 muffins for $ .75 per muffin. How much did he pay for the grapes and muffins?

Answers

Answer:

$7.23

Step-by-step explanation:

(2 x 2.49) + (3 x .75) = 4.98 + 2.25 = $7.23

Find the missing angle.

Answers

Answer:

126 Degrees

Step-by-step explanation:

180-54=126

Answer:

126 hope it may help u btw thnx for points

Step-by-step explanation:

x +54 =180 bcz of linear pair

then 180-54=126

3x³ + 15x² write. factorize

Answers

Answer:

3x³ + 15x²

taking common 3x²

3x²(x+3) is your answer

Answer :

3x²(x+3) is the answer

Shaniya owns a company that rents cars called car go. The following bar graph summarizes the type of vehicles rented last week .

Answers

Answer:

25%

Step-by-step explanation:

Add the amount of vehicles all together and since it is asking for vans, there are 5 vans out of the 25 total vehicles. So 5/25 is equal to .25

1. Find the lengths of the sides of each triangle.

2. Explain why the Triangles are not congruent. ​

Answers

Answer:

.....?....................

can u plzzzz help me brainliest​

Answers

3(4m-2) -2(m+5)
12m -6 -2m -10
10m -16
answer is 10m -16 :)
10m - 16 might be the answer. im pretty sure

De student.cms.k12.nc.us bookmarks
Tgbhyuj190[:Op = BubbleSheet
M Email Natoli, Micha..
Question 2
1 pts
BD bisects angle ABC.
The measure of angle ABD is (2x + 12) and the
measure of angle ABC is 44º. Find the value of x.

Answers

Answer:

x = 5

Step-by-step explanation:

Given that BD bisects <ABC, it means that <ABC is divided into two equal angles, which are <ABD and <CBD.This implies that:

m<ABD = m<CBD. Therefore:

2(m<ABD) = m<ABC

Substitute:

2(2x + 12) = 44

Solve for x.

4x + 24 = 44 (distributive property)

4x + 24 - 24 = 44 - 24 (substraction property of equality)

4x = 20

4x/4 = 20/4 (division property of equality)

x = 5

In AVWX, mZV =
Find mZW.
(6x – 4),
m_W = (x + 12)°, and mZX = (3x + 2)°

Answers

Answer: XVW=36

Step-by-step explanation:

The external angle of triangle is equal to the sum of the 2 opposite interior angles.

WXY is an external angle to the triangle and

XVW and VWX are the 2 opposite interior angles, thus

6x - 19 = +17+ 3x+2, that is

6x- 19 =4x +19 (Subtract 4x from both sides)

2x - 19 =19 (add 19 to both sides by 2)

x = 19

Hence

XVW = x + 17 = 19 + 17 = 36

Pls fill in the blanks for brainliest. Cardiorespiratory Endurance is the ability of the ___ and the ___ to supply ___ to the body?

Answers

Answer:

heart,lungs,oxygen i know i took a test like that before

CAN AN EXPERT< ACE< MODERATOR OR GENIUS HELPP ME WITT THIS PLSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

3x^2-3x+8-9/x+1

Step-by-step explanation:

400 is 75% of what number?

Answers

Answer:

534  

Step-by-step explanation:

solve the following equation

please it's urgent




3a + 5b = -9 , 2a + 5b = -11​

Answers

Answer:

a = 2

b = -3

Step-by-step explanation:

Here, we want to solve the two equations simultaneously

since we have the same 5b term in both, we can subtract the second equation from the first

we have this as;

3a-2a = -9 -(-11)

a = -9+ 11 = 2

Recall;

2a + 5b = -11

2(2) + 5b = -11

5b = -11-4

5b = -15

b = -15/5

b = -3

Help! 30 Points! Find x

Answers

Answer:

do math

Step-by-step explanation:

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