Given area of a rectangle: 7x^2+57x+8
Find Perimeter:
Answers
Answer:
Perimeter of the rectangle is 16x+18 units.
Step-by-step explanation:
The area of rectangle is
\(7x^2+57x+8\)
First we have to find the factor form of above expression.
Splitting the middle term, we get
\(7x^2+56x+x+8\)
\(7x(x+8)+1(x+8)\)
\((x+8)(7x+1)\)
Area of a rectangle is the product of its dimensions. It means dimensions of the rectangle are (x+8) and (7x+1).
Perimeter of a rectangle is
\(Perimeter=2(l+b)\)
\(Perimeter=2[(x+8)+(7x+1)]\)
\(Perimeter=2[8x+9]\)
\(Perimeter=16x+18\)
Therefore, the perimeter of the rectangle is 16x+18 units.
Related Questions
Extra Points! Please Help!
And Explain too. (Or will be deleted)
Answers
Step-by-step explanation:
The lateral surface area is the area of the sides, not including the top and bottom.
Assuming the 3×6 rectangles are the top and bottom, the lateral surface area is:
LA = 2×3 + 2×3 + 2×6 + 2×6
LA = 6 + 6 + 12 + 12
LA = 36
The total surface area is the lateral surface area plus the area of the top and bottom.
SA = 36 + 3×6 + 3×6
SA = 36 + 18 + 18
SA = 72
Marcel converts the frequency table to a conditional relative frequency table by row. 4-column table, 3 rows. First column no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. Second column labeled less than 40 dollars a week with entries W, Y, almost equals 0.43. Third column labeled greater than or equal to 40 dollars a week with entries X, Z, almost equals 0.57. Fourth column labeled total with entries 1.0, 1.0, 1.0 Which value should he use for Y? Round to the nearest hundredth. 0.19 0.45 0.82 0.90
Answers
Answer:
0.19
Step-by-step explanation:
____ | <40 | 》40 | Total
< 30 | W | X | 1.0
》30 | Y | Z | 1.0
Total | 0.43 | 0.57 | 1.0
Since W, X, Y and Z are conditions frequency, they can't be negative
Therefore,
W and Y are both less than 0.43
X and Z are both less than 0.57
The only option less than 0.43 is 0.19 (for Y)
Answer:
0.19
Step-by-step explanation:
____ | <40 | 》40 | Total
< 30 | W | X | 1.0
》30 | Y | Z | 1.0
Total | 0.43 | 0.57 | 1.0
Since W, X, Y and Z are conditions frequency, they can't be negative
Therefore,
W and Y are both less than 0.43
X and Z are both less than 0.57
The only option less than 0.43 is 0.19 (for Y)
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
Answers
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
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I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answers
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
help this is due and i don't know the answer!
Answers
Answer:
32ft^3
Step-by-step explanation:
All sides of a cube are in equal lengths. So using your equation 4s^3, you can substitute s for 2 because one side of a locker is 2 feet long.
4(x)^3
4(2)^3
4(2•2•2)
4(8)
=32
The total volume of all four lockers is 32 cubic feet.
Answer:
32
Step-by-step explanation:
2 to the 3rd power is 8, and you then multiply it by 4, and 8 x 4 =32
1
A line graph is used when which of the following is true?
A. An independent variable is continuous
B. No variable is continuous
C. An independent variable is not continuous
Answers
If A = 3r^2h^2, and (rh) increases by 100%, then the new A is how many times greater than the old A? PLEASE HELP ME!!! (Specify your answer)
Answers
Answer:
4
Step-by-step explanation:
Rewrite \(A=3(rh)^2\).
If \((rh)\) increases by 100%, \(A\) increases by a factor of \(2^2=4\).
Compare the numbers using <, >, or =.
1.6 ___ 1.622
Answers
Answer:
≤
Step-by-step explanation:
1.622-1.6=.022
Answer:
1.6 < 1.622
Step-by-step explanation:
1.6 is equal to 1.600
Write the inequality:
3 less than n is no more than -8
Answers
Answer:
n - 3 ≤ -8
Step-by-step explanation:
n - 3 ≤ -8
3 less than n: n - 3
is no more than: ≤ - 8
Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.
Pls find the answer winter break is almost ending
Answers
90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you...
The answer is 8 so its a direct proportion
I think...
The constant of Proportionality is 8.
What is constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.
Given:
Total Baseball Caps= 30
Total amount of Cap= $240
let the number of caps sold be c.
Then, the equation is
30 c= 240
and, c= 240/30
c= 8
Hence, the constant of Proportionality is 8.
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There are four trees in the corners of a square backyard with 30-ft sides. What is the distance between tree A and tree P to the nearest tenth?
A.30.0 ft
B.42.4 ft
C.42.3 ft
D.30.3 ft
Answers
Answer:
Step-by-step explanation:
2,000,000 ÷ 152 x 12 - 10,000 = ?
Answers
Answer:
147894.736842
Please Help me with this math assignment
Answers
Answer:
THe link dose not work you need to make a better statement
Step-by-step explanation:
Game city charges a fee of $10 plus 3.50 per game rented. gaming central charges a fee of 22 plus 2.50 per game. For how many game rentals will the cost be the same at both stores? what is the cost?
Answers
Central: 22 + 2.5g
10 + 3.5g = 22 + 2.5g
g = 12
12 game rentals
10 + 3.5(12) = 52
22 + 2.5(12) = 52
I need help with this it is due tomorrow. Omar spends $63 on souvenirs during his vacation.That is 35% of the money he brought with him. How much money does Omar have left to spend
Answers
When we put that into our calculator, we get the following answer: 180
Then you subtract 63 because that’s what you spent and you get 117
Which measure is equivalent to 350 centimeters?
3.5 m
35 m
350 m
3500 m
Answers
350*0.01 = 3.5
Easy math :)
Answer:
The answer to your question is 3.5 m
Step-by-step explanation:
1 m= 100 cms
so 350 cms = 3.5 m
I hope this helps and have a good day!
Divide.
Use the number line below to help visualize 1/2 being divided by 5.
Answers
Answer:
fraction form- 1/10
decimal form- 0.1
Step-by-step explanation:
Explanation= To make it easier just count how many shaded in blocks there are compared to how many non shaded boxes there are. As you can see there are 10 squares in total and 1 is shaded, making it 1/10.
1) + 19 - 21 = -2 (a positive 19 combined with a negative 21 = -2)
2) - 20 _ -2 = -22
3) 29 _ -13 = 16
4) -16 _ -17 = -33
5) -19 _ 3 = -22
6) 98 _ -2 = 100
7) -112 _ -13 = -125
8) 111 _ -1 = 110
9) -72 _ 8 = -64
10) 80 _ -6 = 86
11) 99 _ -2 = 97
12) 13 _ -1 = 14
Answers
How can you tell if an equation is proportional or not?
a) It is written in the form y=kx.
b) It is written in the form y=mx+b.
c) The slope in the equation will be positive.
d) The slope in the equation will be zero.
Answers
Answer:
a
Step-by-step explanation:
PLS answer it correctly
Instructions Scientific notation is a tool that is used frequently in science, including astronomy, chemistry, biology, and more. In this activity, imagine that you are a student intern at NASA and are researching information about travel within our solar system. You will complete a series of tasks using what you know about scientific notation and what you discover about our solar system to calculate distances that astronauts may use for their next trip to space. Part 1 Using technology or other resources, research the average distance that each planet is from the sun (in kilometers). Once you have found the distance, create a chart showing each planet's distance from the sun. The sun itself will not receive a label since it is your starting point. For example, Mercury is located an average of 57,909,000 km from the sun, so on the chart, Mercury would be labeled with a distance of 57,909,000. Use the example of the chart below to help you get started: Planet Distance from sun (in km) Distance in scientific notation Mercury 57,909,000 Part 2 Convert each of the distances that you have recorded into scientific notation. List these on your chart for this assignment. Part 3 Answer the following questions using the data you have found. Show your work on all questions as indicated. If a spacecraft was parked on Venus and needed to make a flight to Jupiter, how far would it need to travel? (Assume both planets are aligned with the sun and are on the same side of the sun.) Show your work and provide your answer in scientific notation. Mercury, Venus, and Earth are the three planets closest to the sun. Would their combined distance from the sun be greater or less than the distance from the sun to Neptune? Show your work and justify your answer. If Earth was 10 times farther away from the sun than it is now, which planet would it be closest to? (Assume all the planets are aligned with the sun and are on the same side of the sun.) Compare Earth's new distance to that planet. How far apart would they be in standard notation? How far apart in scientific notation? Show your work. The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. (Assume both planets are aligned with the sun and are on the same side of the sun.) Show your work. Convert your answer into scientific notation if necessary.
Answers
Answer:
this to long
Step-by-step explanation:
no... ................
so basically u grab the y to the x then use planet technology to answer and then basically after that it’s so easy to use solar system and than that’s the scientific explanation for this
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Answers
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
NEED HELP ASAP. ASSISTANCE IS GREATLY APPRECIATED.
What is the volume, in cubic inches, of a cone that has a radius of 9 inches and a height of 16 inches? Use 3.14 for π (pi), and round to the nearest hundredth.
Answers
Answer:
The volume (V) of a cone can be calculated using the formula: V = (1/3)πr^2h, where r is the radius and h is the height.
Substituting the given values, we get:
V = (1/3) x 3.14 x 9^2 x 16
Calculating this expression gives us:
V = 1810.08 cubic inches
Rounding to the nearest hundredth gives us:
V ≈ 1810.08 cubic inches (rounded to two decimal places)
Therefore, the volume of the cone is approximately 1810.08 cubic inches.
Answer:
1363.04
Step-by-step explanation:
V = (1/3) * 3.14 * 9^2 * 16
Simplifying:
V ≈ 1363.04 cubic inches
I need help now
In triangle XYZ, m∠Y = 45.43° and m∠Z = 38.7°. Determine the measure of the exterior angle to ∠X.
44.57°
51.3°
75.75°
84.13°
Answers
Answer:
84.13
Step-by-step explanation:
Help me please il give 20 points!
Answers
Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5
2. Stem: Leaf:
1 9
2 5, 9
3 3, 3, 8
4 0, 7, 9
5 4, 5
6 1, 5
7 2, 7
8 1
3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.
Step-by-step explanation:
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:
Write an equation of the line passing through each of the following pairs of points.
(−3, 9), (−3, −5)
Answers
Answer: x= -3
On a graph, it is a vertical line passing through -3 on the x-axis.
Step-by-step explanation:
(y" -y')= m(x" -x')
-5 -9 = m(-3 -[-3])
-14 = m*0
-14/0 so m is undefined, a vertical line. X-values both are -3.
The solution is : x= -3, an equation of the line passing through each of the following pairs of points.
On a graph, it is a vertical line passing through -3 on the x-axis.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have,
given that,
(−3, 9), (−3, −5)
(y" -y')= m(x" -x')
-5 -9 = m(-3 -[-3])
-14 = m*0
-14/0
so m is undefined, a vertical line.
X-values both are -3.
Hence, The solution is : x= -3, an equation of the line passing through each of the following pairs of points.
On a graph, it is a vertical line passing through -3 on the x-axis.
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Plz help me with my math work
Answers
Answer:
-1/2-5/655/3-1/4-23/4-5/34-3/5Bob bought a Ford Expedition for his family. After five years, the SUV was worth $10,000 less than what he paid for it. What integer represents how much value, on average, the SUV lost each year?
Answers
Which expression is equivalent to -1/3 ( 6x + 15 ) - 3?
a) -2x + 12
b) -2x + 2
c) -2x - 2
d) -2x - 8
Answers
The correct answer is (D) -2x - 8.
To simplify the expression -1/3 ( 6x + 15 ) - 3, we can first apply the distributive property to the term in parentheses:
-1/3 ( 6x + 15 ) - 3 = -1/3 * 6x - 1/3 * 15 - 3
Then we can simplify using the properties of multiplication and division:
-1/3 * 6x - 1/3 * 15 - 3 = -2x - 5 - 3
Finally, we can combine like terms:
-2x - 5 - 3 = -2x - 8
The correct answer is therefore (D) -2x - 8.✅
MATH SMARTIES I WILL GIVE BRAINLIEST!!!!
Answers
Answer:
30.
Step-by-step explanation:
if you count up 75, which would be 5x6=30, because we have 6 tallies, and 5 in each group, therefore, if you were to add 30, you would get 105 they increased it 30%
Answer the question below:
Answers
Based on the information, it can be inferred that the difference in the circumference of the two circles is 6.31 cm.
How to calculate the circumference of a circle?To calculate the circumference of a circle we must apply the following formula:
2\(\pi\)RR = Radius of the circle.According to the previous formula, we must replace R with the radius of each of the radii of both circles as shown below:
2\(\pi\)1 = 6.282\(\pi\)2 = 12.59So, to find the difference of the circumferences of both circles we must subtract the smaller number (circumference of the small circle) from the larger number (circumference of the large circle).
12.59 - 6.28 = 6.31According to the above, the difference of the circumferences would be 6.31 cm.
How to calculate the area of the circle?To calculate the area of the circle we must apply the following formula.
A =\(\pi r^{2}\)
r = radio del círculo.
According to the above, the radiO of both circles would be:
\(\pi 1^{2}\) = 3.14\(\pi 2^{2}\) = 25.13Additionally, to find the difference we must subtract these values:
25.13 - 3.14 = 21.99Learn more about circles in: https://brainly.com/question/29142813
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Based on the information, it can be inferred that the difference in the circumference of the two circles is 6.31 cm.
How to calculate the circumference of a circle?
To calculate the circumference of a circle we must apply the following formula:
2R
R = Radius of the circle.
According to the previous formula, we must replace R with the radius of each of the radii of both circles as shown below:
21 = 6.28
22 = 12.59
So, to find the difference between the circumferences of both circles we must subtract the smaller number (circumference of the small circle) from the larger number (circumference of the large circle).
12.59 - 6.28 = 6.31
According to the above, the difference in the circumferences would be 6.31 cm.
How to calculate the area of the circle?
To calculate the area of the circle we must apply the following formula.
A =
r = radio del círculo.
According to the above, the radiO of both circles would be:
= 3.14
= 25.13
Additionally, to find the difference we must subtract these values:
25.13 - 3.14 = 21.99