1. Use precise mathematical language to justify and explain each mathematical process.
Use the rectangle with side lengths 5.22 – 8x + 9 and x + 5 for the following two questions.
1. What is the perimeter of the rectangle? Write a summary of the process used to determine the expression.
2. What is the area of the rectangle? Write a summary of the process used to determine the expression.
Answers
Mathematical processes are the steps used to determine the result of operations
The perimeter of the rectangle is [tex]10x^2 - 14x + 28[/tex]The area of the rectangle is [tex]5x^3 +17x^2 -31x + 45[/tex]The dimension of the rectangle is given as:
[tex]Length = 5x^2 - 8x + 9[/tex]
[tex]Width = x + 5[/tex]
(1) The perimeter of the triangle
This is the sum of the side lengths of the rectangle.
So, we have:
[tex]Perimeter = 2 \times (Length + Width)[/tex]
This gives
[tex]Perimeter = 2 \times (5x^2 - 8x + 9 + x + 5)[/tex]
Collect like terms
[tex]Perimeter = 2 \times (5x^2 - 7x + 14)[/tex]
Open brackets
[tex]Perimeter = 10x^2 - 14x + 28[/tex]
Hence, the perimeter of the rectangle is [tex]10x^2 - 14x + 28[/tex]
(2) The area of the triangle
This is the product of the dimensions of the rectangle.
So, we have:
[tex]Area = Length \times Width[/tex]
This gives
[tex]Area = (5x^2 - 8x + 9) \times (x + 5)[/tex]
Open brackets
[tex]Area = 5x^3 - 8x^2 + 9x +25x^2 - 40x + 45[/tex]
Collect like terms
[tex]Area = 5x^3 - 8x^2 +25x^2+ 9x - 40x + 45[/tex]
[tex]Area = 5x^3 +17x^2 -31x + 45[/tex]
Hence, the area of the rectangle is [tex]5x^3 +17x^2 -31x + 45[/tex]
Read more about areas and perimeters at:
https://brainly.com/question/15656646
Related Questions
Please answer question below (80)
Answers
Answer:
The last one is the right answer .
Find area of the region under the curve y=9−3x^2 and above the x-axis.
Answers
Answer:
A = 12√3
Step-by-step explanation:
first find the limits by finding the zeros
0 = 9 − 3x²
3x² = 9
x² = 3
x = ±[tex]\sqrt{3}[/tex]
[tex]A = \int\limits^a_b ({9 - 3x^2\\}) - 0\, dx[/tex]
where b = [tex]-\sqrt{3}[/tex] and a = [tex]\sqrt{3\\}[/tex]
A = 9x - x³ [tex]\left \{ {{\sqrt{3} } \atop {-\sqrt{3} }} \right.[/tex]
[tex]A = 9\sqrt{3} - \sqrt{3} ^3 - (9(-\sqrt{3)} - (-\sqrt{3} )^3)[/tex]
[tex]A = 9\sqrt{3} -3\sqrt{3} +9\sqrt{3} - 3\sqrt{3}[/tex]
[tex]A = 12\sqrt{3}[/tex]
round to the nearest thousandth
7500.98052
12 points **
Answers
Help help hep hep math
Answers
Answer:
f(3) = 2
Step-by-step explanation:
f(3) = 2(3) - 4
f(3) = 2
Which of the following is a geometric sequence with a common ratio of 2?
A) 14, 28, 56, 112, ...
B) 64, 32, 16, 8, ...
C) 87, 85, 83, 81, ...
D) 14, 16, 18, 20, ...
Answers
Answer:
A
Step-by-step explanation:
Geometric sequences involve multiplication and the ratio of 2 means each number is multiplied by 2 to get the next number.
I do not know how to do it
Answers
Answer:
this is do confusing I do not understand
Employee only meals
Meals with clients
Total meals expensed must not exceed allowed expenses based on given rates
Answers
Answer:
50 percent the cost of meals
Which statement is the correct interpretation of the inequality −4 > −5? (5 points)
Question 7 options:
1)
On a number line, −4 is located to the left of 0 and −5 is located to the right of 0.
2)
On a number line, −4 is located to the right of 0 and −5 is located to the left of 0.
3)
On a number line, −4 is located to the right of −5.
4)
On a number line, −4 is located to the left of −5.
Answers
Answer:
On a number line, -4 is located to the right of -5
Step-by-step explanation:
Answer:
On a number line, -4 is located to the right of -5.
Step-by-step explanation:
this is correct, also I don't take credit for it the person above me is the original. :)
im stuck step bro #im a guy
Answers
Answer:
Well then...
Step-by-step explanation:
a positive integer is 9 more than 14 times another. their product is 12035. Find the two integers
Answers
Answer:
415 and 29
Step-by-step explanation:
x = 14y+9
xy = 12035
(14y+9)y = 12035
y = -415/14 and 29 but it's a positive integer
so y = 29
x = 14(29)+9
x = 415
The polygons below are similar. Find the value of y
Answers
Answer:
y = 21
Step-by-step explanation:
4/7 + (-6/7) Find the sum. Write fractions in simplest form.
Answers
Answer:
i dont know sorry do u know
lost on this a little
Answers
Answer:
the answer would be 7/5
Step-by-step explanation:
2 of them would already make a whole, and if you add another one, it's going to be more than just one pitcher of lemonade.
Which histogram represents this data set? 6, 7, 6, 2, 4, 5, 7, 1, 5, 8, 3, 5, 8
Answers
Answer:
See attached
Step-by-step explanation:
You do not have options, but a histogram that would represent this data is attached.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
9 6/7 divide 3? explain your answer
Answers
Answer:
it is a decimal which is 3.28571428571
Step-by-step explanation:
i am in college
Step-by-step explanation:
[tex] \\ 9 \frac{6}{7} \div 3[/tex]
Change the mixed fraction into improper fraction.
[tex] \\ = \frac{69}{7} \div 3[/tex]
Reciprocal 3 for cross multiplication.
[tex] \\ = \frac{69}{7} \times \frac{1}{3} [/tex]
Divide 69 by 3.
[tex] \\ = \frac{ \cancel{69}}{7} \times \frac{1}{ \cancel{3}} [/tex]
[tex] \\ = \frac{23}{7} [/tex]
Divide the result into mixed fraction or decimal.
[tex] \\ = 3.285 \: \: or \: \: 3 \frac{2}{7} [/tex]
[Answer]
which statement is true
Answers
emma has 63 pencils noah has 49 penecils and michel has 77 pencils.Use the GCF and the distributive property to find the total number of pencils
Answers
Step-by-step explanation:
the greatest common factor (GCF) is 7.
it is 9×7, 7×7 and 11×7.
so the total number of pencils is
7×(9 + 7 + 11) = 7×27 = 189
What is the first number in the sequence?
Answers
Answer:
Step-by-step explanation:
Let "n" be the first number
n + (n + 2) + (n + 4) + (n + 6) = 36
4n + 12 = 36
4n = 24
n = 6
as "n" itself is even, it qualifies
6 + 8 + 10 + 12 = 36
Worth 12 points do it soon pls
Answers
Step-by-step explanation:
9+(-5)=4
-8-4=-12
8-(-4)=12
-9+5=-4
Hope this helps, just go connect the equation to the answer that I put.
RULES
If you have a minus and a minus (- -) it is equal to +
If you have Plus and Minus (- +) it is equal to -
The first one when simplified is 9-5=4
The second one Simplified is -8-4=-12
The third one simplified is 8+4=12
The fourth one simplified is -9+5=-4
I hope this helped and that you got the concept. If you have questions, ask me
Ps. If you mark me branliest it would-be very appreciated
Work out the area of the triangle.
Answers
Answer:
120
Step-by-step explanation:
10*24=240
240/2=120
Dog slept 3 hours . If the dog snored 1/3 of an hour . How many times did he snore
Answers
Answer:
it depends how much the god snores within a certain time period
HELP PLS which box has the largest IQR
Answers
Answer:
Box B i think.
Step-by-step explanation:
Can someone help me please?
Answers
Answer:
put your equation into fractions and then see what or which 1mathces with the image
Step-by-step explanation:
7. Which of the lists of three lengths cannot form a triangle?
7,7,20
13,13, 20
13,13,13
7,7,7
7,13,13
Answers
Answer:
7,7,20 I think
Step-by-step explanation:
7+7 is less then 20
Joe wants to build a doll house for his daughter. He wants the doll house to look just like his house. His house is 29 feet wide and 32 feet tall at the highest point of the roof. If the dollhouse will be 2.5 feet wide, how many feet will its highest point be? (Round your answer to one decimal place.)
Answers
Answer:
3.5 feet
Step-by-step explanation:
The highest point of the dollhouse will be 2.76 feet.
What is proportion?A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.
Given that,
The width of house = 29 feet.
And the height of the house = 32 feet.
Also, the width of dollhouse = 2.5 feet
Let the height of the doll is x feet.
To find the value of x,
Use proportion property,
29 / 32 = 2.5 / x
x = (32 × 2.5) / 29
x = 80 / 29
x = 2.758
the height of the doll is 2.76 feet.
To know more about Proportion on:
https://brainly.com/question/7096655
#SPJ5
calculate the quotient below and give your answer in scientific notation
Answers
Answer:
the answer is 95
Ivy is graphing how much money she earns for each hour of babysitting. She finds that the data tends to be linear and draws a line that passes through the points (2, 17) and (5, 42.50). About how much does Ivy earn per hour? A. $42.50 B. $17 C. $25.50 D. $8.50
Answers
Answer: 8.5
Step-by-step explanation: (42.50 - 17) ÷ (5 - 2)
= 25.50 ÷ 3
= 8.5
Thank me later
42.50/5=8.5 and 17/2=8.5
A
3
-2
-1
0
2
3
4
В.
The midpoint of AB = ([?],[ ])
Enter
Answers
Step-by-step explanation:
hope it will help you and please mark the answer as brillant please.
What is one five eights plus one two eights?
Answers
Answer:
5/8
Step-by-step explanation:
Answer: I think it's 2 7/8 lemme know if i'm wrong
Step-by-step explanation:
Help help help help math math
Answers
Answer:
a is 27354326 b is 13943y and c is 1937x
Step-by-step explanation: