Carlos is digging a pond in his backyard as shown. The area of the
rectangular backyard is 6x + 14x - 12 square yards. The circular pond will
cover an area of 3x? - 4x + 5 square yards. Which expression represents the
area of the gray region, the area of the land remaining in the backyard?
Please answer!!!!
Answers
The expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards. The correct option is B.
The area of the gray region is the area of the rectangular backyard minus the area of the circular pond.
The area of the rectangular backyard is given as 6x+14x-12 square yards, which simplifies to 20x-12 square yards.
The area of the circular pond is given as 3x²-4x+5 square yards.
So, the area of the gray region is:
(20x-12) - (3x²-4x+5)
= 20x-12 - 3x²+4x-5
= 3x²+10x-17
Therefore, the expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards.
To know more about an area follow
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Related Questions
name the coefficent 5x+10
Answers
Answer:
Coefficient is 5
Step-by-step explanation:
Coefficient means a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
Hope this is helpful.
every summand of an expression is called a???
Answers
Answer:
I think it's called a term.
Hope this helps :)
Pleaseeee Helpppp
Point M is located at 1.2 x 10-6. Plot Point M on the number line below
Answers
what is the gcf of 8 and 11?
Answers
To find the greatest common factor, line both numbers up and continue adding that specific number until you find two factors that correlate with both numbers.
With that being said, let's begin.
8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88
Simply add 8.
11: 11, 22, 33, 44, 55, 66, 77, 88
Simply add 11.
The greatest common factor of 8 and 11 is 88.
HELP! HL theorem. Congruent. Geometry algebra. Triangles. Shapes. Math.
Answers
Answer:
x = 3
Step-by-step explanation:
x² + 15 = x² + 5x
15 = 5x
15 ÷ 5 = x
3 = x
Kameron has (4x + 10) toy cars. His
best friend Joey has (-5x + 20) toy
cars. How many more toy cars does
Kameron have than Joey has?
Answers
Answer:
9x-10
Step-by-step explanation:
(4x+10) - (-5x+20)
Open the brackets
4x+10+5x-20
Collect like terms
4x+5x+10-20
9x-10
PLEASE HELP FOR BRAINLIEST
Simplify.
7x + 3(x - 2) - 4x + 8
A) 6x + 2
B) 6x + 14
C) 6x - 2
D) 14x + 2
Answers
Answer:
A
Step-by-step explanation:
7x + 3(x - 2) - 4x + 8
7x + 3x - 6 - 4x + 8
Combine like terms:
6x + 2
Hope this helps!
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's Simply ~
[tex]7x + 3(x - 2) - 4x + 8[/tex][tex]7x + 3x - 6 - 4x + 8[/tex][tex]7x + 3x - 4x - 6 + 8[/tex][tex]6x + 2[/tex]Therefore, the correct choice is ~ A
Using ƒ(x) = 3x − 3 and g(x) = -x, find g(ƒ(x))
a. 3x+3
b. 3-3x
c.-3-3x
d. 2x-3
Answers
Work Shown:
[tex]g(x) = -x\\\\g(f(x)) = -f(x)\\\\g(f(x)) = -(3x-3)\\\\g(f(x)) = -3x+3\\\\g(f(x)) = \boldsymbol{3-3x}\\\\[/tex]
Explanation: We start with the outer function g(x). In the second step, we replace every copy of x with f(x). From there we plug in f(x) = 3x-3 and simplify using the distribution rule.
The notation [tex]g(f(x))[/tex] is the same as writing [tex](g \circ f)(x)[/tex]
Evaluate 1/5 of 175 please
Answers
Answer:
35
Step-by-step explanation:
1. To evaluate 1/5 of 175, we must multiply 1/5 by 175.
[tex]\frac{1}{5}*175[/tex] [tex]\frac{175}{5}}[/tex] [tex]35[/tex]Therefore, the answer is 35.
Please help!! I will mark brainliest with full detailed answer!!
Answers
Answer:
Step-by-step explanation:
26. -14
27. -4.732050808
Answer:
26. (-14)
27. −4.732050808
Step-by-step explanation:
26. [tex](\sqrt{2}+4)(\sqrt{2}-4)[/tex]
Multiplication can be transformed into difference of squares using the rule:
(a − b) (a + b) = a² - b²
[tex](\sqrt{2} ^{2} ) - 4^{2}[/tex]
The square of √2 is 2.
[tex]2 - 4^{2}[/tex]
Calculate 4 to the power of 2 and get 16.
2 - 16
Subtract 16 from 2 to get −14.
-1427. [tex](\sqrt{3} +2)(\sqrt{3} -3)[/tex]
Apply the distributive property by multiplying each term of √3 + 2 by each term of √3 - 3.
[tex]\sqrt{3} ^{2}-3\sqrt{3} +2\sqrt{3} -6[/tex]
The square of √3 is 3.
[tex]3-3\sqrt{3} +2\sqrt{3} -6[/tex]
Combine -3√3 and 2√3 to get -√3.
[tex]3-\sqrt{3} -6[/tex]
Subtract 6 from 3 to get −3.
-3 - √3
-3 - √3 ≈ −4.732050808Using the area model divide, true or false, 79/7 is equal to 11 R 1.
Answers
Area models are used to evaluate products and divisions
[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false
The division equation is given as:
[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex]
Express 79 as 77 + 2
[tex]\mathbf{(77 + 2) \div 7 = 11\ R\ 1}[/tex]
Split the expression on the left-hand side
[tex]\mathbf{77 \div 7+ 2 \div 7 = 11\ R\ 1}[/tex]
Divide 77 by 7
[tex]\mathbf{11+ 2 \div 7 = 11\ R\ 1}[/tex]
2 divided by 7 is 0 with a remainder of 2
So, we have:
[tex]\mathbf{11\ R 2 = 11\ R\ 1}[/tex]
The equations above are not equal.
This is represented as:
[tex]\mathbf{11\ R 2 \ne 11\ R\ 1}[/tex]
Hence, [tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false
Read more about area models at:
https://brainly.com/question/18701102
Answer number 11 to see if your smarter than my students
Answers
the awnser 2=2=2=2=22=2=2=2=2=2+0+7867+
Adnan drives 16.5 miles in 10 minutes. He passes a sign which gives the speed limit as 70 mph. By how much, in mph, did Adnan's average speed exceed the speed limit?
Answers
=========================================================
Explanation:
10 minutes = 10/60 = 1/6 of an hour
Divide the distance over the time duration to find his speed
speed = distance/time
speed = (16.5 miles)/( 1/6 hr )
speed = 16.5*(6/1) mph
speed = 99 mph
Then subtract off the speed limit posted by the sign.
99 - 70 = 29 mph
Adnan is 29 mph over the speed limit.
Answer: 29 miles/hour (mph)
Step-by-step explanation:
10 minutes is 0.16667 hour (hr).
16.5 miles/0.16667 hr = 99 mph
99 - 70 = 29 mph
The ratio of red cars to blue cars in a parking lot was 9 : 7. If there were 72 red cars, how many blue cars were there?
Answers
Answer:
56
Step-by-step explanation:
We can mark the blue cars as x, so now, we have 9:7, and 72:x, we can use cross multiplication to get the value of x, 72*7 = 9x, which we can simplify into 504 = 9x, and can divide both sides by 9 to get 56 = x.
Hope it helped!
Q1
Put these decimals in order, least to greatest:
?
0.11 0.3 0.12 0.2
Answers
Answer:
0.11<0.12<0.2<0.3
Step-by-step explanation:
Answer:
0.11, 0.12, 0.2, 0.3
Step-by-step explanation:
pls brainliesttt
Please help me I don’t know how to solve this
|5z+1| >14
Answers
PLZZZ ASAPPPP
A youth group wenton trip to EXPO Dubai Travelling in two Vans. The number of people in each van and the total cost of admission are shown in the table.Find the adult price and student price of admission(Not Exact charges)
Answers
Refer to the attachment
Soo :
2a + 3b = 325
2a + 7b = 505 -
-4b = -180
4b = 180
b = 45
[tex] \: [/tex]
2a + 3b = 325
2a + 3(45) = 325
2a + 135 = 325
2a = 325 - 135
2a = 190
a = 95
If
x
=
4
and
y
=
6
, evaluate the following expression:
20
+
3
(
3
y
−
4
x
)
Answers
20+3(3y-4x)
if x=4 y=6
20+3((3×6)-(4×4))=20+3(18-16)=20+3×2=20+6=26
answer: 26.
help me please
A
B
C
D
E
F
Answers
Answer:
F because you cannot prove that any of the angles are the same with only one set of parallel lines
Use the information given to enter an equation in standard form. (6, 10) and (5, 7) are on the line.
Answers
Answer:
y=3x - 8
Step-by-step explanation:
first find slope
10 - 7/6 - 5 = 3
Point - slope
y = 3(x-6)+10
Simplify
y = 3x-18+10
y=3x - 8
8
After a reflection over the line y=-2, which direction will the arrow be facing?
Down
Right
Up
Left
Answers
X + 3 - 3=-6 show all work
Answers
Answer:
x = -6
Step-by-step explanation:
[tex]x+3-3=-6~(Given)\\x=-6~(Combine~like~terms)[/tex]
the average attendance at a club fell by 7% in 2015. if 2030 fewer people, how many went in 2014?
Answers
Answer:Having some trouble with this percentage word problem: The average attendance at Parma football club fell by 7% in 2015. If 2030 fewer people went to matches in 2015
Step-by-step explanation:
x+4x=
Какой ответ пожалуйста помогите x+4x= это задача
Answers
Step-by-step explanation:
5x
Добро пожаловать
the fiah population in crystal lake increased thisnyear by 30% last year population in crystal land was 3,500 how many fish are jn the lake this year
Answers
Answer:
The population is 40,269 as of the 2020 Census, a 1.2% decrease from 2010. Crystal Lake is the largest city in McHenry County, part of the Chicago metropolitan
Step-by-step explanation:
If your bill at the Olive Garden was $39.90 and you wanted to leave a 22% tip, how much tip would you leave? (round to the nearest hundredth)
Answers
Answer:
22
Step-by-step explanation:
it's 22 percent I don't get how do u need help
what is the simplest form 2 sqrt 3 / sqrt 6
Answers
howdy the answer is A
sqrt 2
Answer correctly and get brainless and 20 points
Answers
Answer:
D. x = 12.4
Step-by-step explanation:
A. (2.4) - 5 = 7.4
-2.6 = 7.4
B. (6.9) - 5 = 7.4
1.9 = 7.4
C. (7.9) - 5 = 7.4
2.9 = 7.4
D. (12.4) - 5 = 7.4
7.4 = 7.4
In AFGH, GH = FG and mZF = 10°. Find mZH.
Answers
Answer:
f(x)= 40x
Step-by-step explanation:
Hope this helps, have a nice day/night! :D
What will be the graph of the circle (x-4)^2+(y+3)^2=16
Answers
Answer:
x + y - 5 = 0
Step-by-step explanation:
(x-4)² + (y+3)² = 16
To remove the square on the left side, we square root both sides
√(x-4)² + √(y+3)² = √16
The square will cancel the square root on the left side, while the square root of 16 is 4
(X-4) + (y+3) = 4
open the brackets
x-4+y+3=4
x + y = 4 + 4 - 3
x + y = 5
x + y - 5 = 0