Answers
Answer:
Length of side e is 4.12
Length of side f is 4.24
The length of side f is larger than length of side e
Step-by-step explanation:
We are given two line segments e and f. We need to find lengths of both e and f and determine which is larger.
We can use distance formula to calculate lengths of line segments.
The Distance Formula is: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Finding length of side e:
We are given points (-2,3) and (-1,-1)
here we have [tex]x_1=-2, y_1=3, x_2=-1 , y_2=-1[/tex]
Putting values in distance formula and finding length
[tex]Length \ of \ side \ e= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ e= \sqrt{((-1)-(-2))^2+(-1-(3))^2}\\Length \ of \ side \ e= \sqrt{(-1+2)^2+(-1-3)^2}\\Length \ of \ side \ e= \sqrt{(1)^2+(-4)^2}\\Length \ of \ side \ e= \sqrt{1+16}\\Length \ of \ side \ e= \sqrt{17}\\Length \ of \ side \ e= 4.12[/tex]
So, Length of side e is 4.12
Finding length of side f:
We are given points (2,2) and (-1,-1)
here we have [tex]x_1=2, y_1=2, x_2=-1 , y_2=-1[/tex]
Putting values in distance formula and finding length
[tex]Length \ of \ side \ f= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ f= \sqrt{((-1)-(2))^2+(-1-(2))^2}\\Length \ of \ side \ f= \sqrt{(-1-2)^2+(-1-2)^2}\\Length \ of \ side \ f= \sqrt{(-3)^2+(-3)^2}\\Length \ of \ side \ f= \sqrt{9+9}\\Length \ of \ side \ f= \sqrt{18}\\Length \ of \ side \ f= 4.24[/tex]
So, Length of side f is 4.24
The length of side f is larger than length of side e
Related Questions
Write the equation of the circle with center (-4, 8) and passes through the point (-2, -1)
Answers
Answer:
[tex](x+4)^2+(y-8)^2=85[/tex]
Step-by-step explanation:
The standard equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:
[tex](x-(-4))^2+(y-8)^2=r^2\\[/tex]
Simplify:
[tex](x+4)^2+(y-8)^2=r^2[/tex]
Now, we will need to find r.
We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:
[tex](-2+4)^2+(-1-8)^2=r^2[/tex]
Evaluate:
[tex](2)^2+(-9)^2=r^2[/tex]
Square:
[tex]4+81=r^2[/tex]
Add:
[tex]r^2=85[/tex]
So, r squared is 85.
We don’t actually have to solve for r itself, since we will have to square it anyways.
So, we have:
[tex](x+4)^2+(y-8)^2=r^2[/tex]
Substituting 85 for r squared, we get:
[tex](x+4)^2+(y-8)^2=85[/tex]
And we have our equation.
PLEASE HELP ITS EASY MATH
Workers install 600 chairs at a constant rate. After 4 days, the workers still have to install 360 chairs. How much time does it take to install the chairs from start to finish?
Answers
Answer:
10
Step-by-step explanation:
Acc to question, the workers have installed 240 chairs in 4 days which equals 60 chairs in 1 day.
So the will require 600 /60 =10 days from the start.
i need help plz ill give brainliest
Answers
Answer:
The answer is D
Step-by-step explanation:
Hope this helps! Please mark brainliest
What is the first step in solving this problem?
⅘ + ½ =
Answers
Answer:
Find the least common denominator, which is 10.
[tex] |15 - 4| [/tex]
PLEASEEEEE HELPPP
Answers
Answer:
11
Step-by-step explanation:
15-4=11
|11|=11
15-4=11 therefore, the absolute value pf this is 11.
−6x+7x+4x-3x-3y-2x+4x
combine like terms
Answers
−6x+7x+4x-3x-3y-2x+4x
−6x+7x+4x-3x-2x-+4x-3y
4x-3y
:)
PLEASE HELP ME ASAP
Solve for x in the diagram below
Answers
Answer:
x=12
Step-by-step explanation:
The right angle is congruent to the other side. So 90-20=70. 6x-2=70. Add 2 to both sides to cancel out the minus 2. 6x=72 72/6=12
Answer:
[tex]\huge\boxed{\sf x = 12}[/tex]
Step-by-step explanation:
6x - 2 + 20 = 90 [Complementary Angles]
6x + 18 = 90
Subtracting 18 to both sides
6x = 90 - 18
6x = 72
Dividing both sides by 6
x = 12
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Given the following sequence and an-1 = 12, what is an?
2, 7, 12, 17,...
Answers
Answer:
12
Step-by-step explanation:
[tex]a_{n-1}=12\\\\
Plug\: n = n + 1\\\\
a_{n+1-1}=12\\\\
\huge \red {\boxed {a_{n}=12}} \\\\[/tex]
The base of a skyscraper is a triangle bordered by three streets: Main Street, Elm Street, and Maple Street. The Elm Street side is 2 ft shorter than twice the Maple Street side. The Maple Street side is 12 ft shorter than half the Main Street side. The Main Street side is 210 ft.
Answers
Answer:
Step-by-step explanation:
1. 93
2.184
12 x 3.4x - 5.4x - x
Answers
Answer:
34.4x
Step-by-step explanation:
Answer:
34.4x
Step-by-step explanation:
40.8x-6.4x=34.4x
Multiply. Express each product in lowest terms.
1:4/5x 1/
I NEED HELP ILL GIVE BRAINLIEST
Answers
Which of the following statements about the congruent triangles below is true?
A.) AB=DE
B.) AC=EF
C.) AC=DE
D.) BC=DE
Answers
Answer:
AB=DE
Step-by-step explanation:
they're literally the only pair on the same sides lol
The side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
We have two triangles shown in the picture.
As we know from the definition of the congruent triangle, the same size, and shape.
The three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle
Thus, the side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.
Learn more about the congruent triangle here:
brainly.com/question/12413243
#SPJ5
What is the gfc of 24 and 36
Answers
Answer:
6 is the gfc
Step-by-step explanation:
hope this helped :-)
Answer:
it is -
Step-by-step explanation:
Subtract: 3.8 - 2.923. Explain in your own words how you would solve this, in detail, from start to finish.
Answers
Answer:
Step-by-step explanation:
3.8-2.923
Change to 3.800 to match the number of digits in the second number. Work from right to left. 3 minus 0 is 7. work our way over until the end. You should get 0.877 for an answer.
7 3 2 = 2 insert symbols
Answers
Answer:
7 - 3 - 2 = 2
Step-by-step explanation:
Hope it is useful!!
Find the missing factor BBB that makes the equality true. -35x^6=(-5x^2)(B)−35x 6 =(−5x 2 )(B)minus, 35, x, start superscript, 6, end superscript, equals, left parenthesis, minus, 5, x, squared, right parenthesis, left parenthesis, B, right parenthesis B =B=B, equals
Answers
Answer:
[tex]B=7x^4[/tex]
Step-by-step explanation:
The given equality is
[tex]-35x^6=(-5x^2)B[/tex]
Take the term [tex](-5x^2)[/tex] to the left hand side. This means the term [tex]-35x^6[/tex] will be divided by [tex](-5x^2)[/tex]
[tex]\dfrac{-35x^6}{(-5x^2)}=B[/tex]
Now since both the numerator and denominator have negative sign the value of fraction will be positive.
[tex]\dfrac{35x^6}{(5x^2)}=B[/tex]
Now [tex]5\times 7=35[/tex] and [tex]x^{6-2}=x^4[/tex]
[tex]7x^4=B[/tex]
So, the missing factor [tex]B=7x^4[/tex]
Becca made 2 trays of rolls and biscuits. Each tray had 12 rolls and 6 biscuits. How many total rolls and biscuits did Becca make? helppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
Becca made 24 rolls and 12 biscuits
Step-by-step explanation:
Becca will have 24 rolls and 12 biscuits on the tray.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given that,
Becca made 2 trays of rolls and biscuits.
Since in 1 tray there are 12 rolls and 6 biscuits.
Number of rolls in 2 tray = 2(12) = 24 rolls
Number of biscuits in 2 tray = 2(6) = 12 biscuits.
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ2
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answers
Answer:
1.75=5n or 5n=1.75
Step-by-step explanation:
There are 5 n's on the bottoms so you are doing 5 times n (5n) and then 1.75 is on the top so the equation has to equal 1.75
Answer:
5n=1.75
Step-by-step explanation:
the image, the area of the tape diagram indicating 1.75 is equal to the sum of the areas of all five parts in the diagram such that each part indicates n.
here, we have assumed that 1.75 represents an area of the first rectangle , and n represents the area of each of the small rectangle
If f(x) = 10, find x.
Answers
10 = 3x - 2
Add 2 for both sides
3x = 12
X = 4
then adding 2 to both sides gives 3x=12. dividing both sides by 3 returns x=4.
Can someone help me with this question please !!! Danica is saving money to buy a used car in six months. She needs to save $1500 for a down payment in order to be able to finance the rest. She gets paid $180 per week at her part-time job. How much money will she need to save out of every weekly paycheck to reach her savings goal of $1500 in six months? Show the calculations:
Answers
Answer:
She will have to work at least 83 times.
Step-by-step explanation:
Divide 1,500 by 180 and then to check answer multiply 180 with 83.
PLEASE ANSWER I AM ON A TIMED TEST
What value of b will cause the system to have an
infinite number of solutions?
y = 6x - b
-3x+ 1/2=-3
b =
A 2
B 4
C 6
D 8
Answers
Entrance to a skatepark costs $6 per vehicle, plus $2 per person in the vehicle.
Is the relationship between the number of people and the total entrance cost a proportional relationship? EXPLAIN HOW YOU KNOW.
Hint: Create a table to organize the information.
Answers
Answer:
Yes, it is a proportional relation ship because 6 and 2 are equivalent to each other.
Step-by-step explanation
Which of these is a prime number?
733
712
702
725
Answers
Answer:
733
Step-by-step explanation:
712 and 702 end in 2, so they're divisible by 2.
725 ends in 5, so it's divisible by 5.
733 is not divisible by 2.
7 + 3 + 3 = 13, so 733 is not divisible by 3.
It looks like 733 is the prime number.
can someone please help me?? i’ll make you a brainliest.
Answers
Answer:
-4/1
Step-by-step explanation:
Answer:
i;m pretty sure your answer is -4/1
Step-by-step explanation:
i hope this helped you
On Dan's eReader 2/3 of the books are fiction. Of the fiction books, 4/5 are mysteries. What fraction of the books on Dan's eReader are mysteries?
1 point
A. 4/5
B. 8/15
C. 2/3
D. 4/6
Answers
Answer:
4/6
Step-by-step explanation:
hope this helps you
Ian's car can go 140 miles on 4 gallons of gas. During a drive last weekend, he used 5 gallons of gas. How far did he drive? Use pencil and paper. Explain how the problem changes if you were given the distance driven last weekend instead of how much gas he used.
Answers
140 miles / 4 gallons = 35 miles per gallon.
35 x 5 = 175 miles
Answer:
The car would be able to drive 175 miles with 5 gallons of gas.
Step-by-step explanation:
Every gallon of gas would give you 35 miles of distance.
To do this you divide 140 by 4 which is 35 that means 1 gallon of gas is 35 miles.
Add a extra gallon gas and also add the amount of distance the gas will give you (35 miles). Add that to 140 miles and then you get 175 miles.
For every 35 miles, I gallon of gas is used.
Hope this helps.
Seth's family plans to drive 220 miles to their vacation spot they would like to compare the drive in 4 hours
Answers
Answer:
i think the answer is 55.
Step-by-step explanation:
220 divided by 4 = 55.
Answer:
i don t think i completely understand but they drive 55 miles every hour
Step-by-step explanation:
if this is not your question plz clarify so i can help :)
Paula has 10 forks and 15 knives to place in silverware holders at the fast food restaurant where she works. She wants to distribute them equally, with no forks or knives left over. What is the greatest number of silverware holders Paula can stock?
Answers
Answer:
that answer is 5 hope you get it right
Evaluate -8 - 21.
-10
-16
16
10
Answers
Answer:
Evaluate -8 - 21.
-10
-16
16
10
Need help ASAP! If IN=2x+10 and AT=26, find x.
A.) 12
B.) 10
C.) 6
D.) 8
Answers
Answer:
X=8
The three lines means that IN and AT are equal so IN must equal 26. 2(8)=16 and 16+10=26