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
A leatherback sea turtles was swimming at 850 below sea level. He went 165 meters and then descendes 165 meters. Draw a number line to show the change in position of the sea turtles from depth it was swimming. What integer represents the sea turtles change in position?
Answers
Answer:
0
Step-by-step explanation:
Initial. Position = (- 850) below sea level
Upward movement = 165m
Deownward movement (descent) = (165m
Change in position : net change
Upward movement + downward movement
(165 + (-165)m = (165 - 165)m = 0
The shadow of an object varies directly with its height.The shadow of a 25 ft trees is 6 ft.How long is the shadow of an 18 ft tree
Answers
Answer:
Well i got 4.32 but im not completely sure
Step-by-step explanation:
please HELP ASAP
What is the missing side, x?
Answers
Answer:
76
Step-by-step explanation:
HEYO! so i have this problem that needs to be solved and not feeling good doesn't help either lol. So here it is....
what is 14/25 in simplest form?
Answers
Answer:
0.56
Step-by-step explanation:
Answer:
14/25
Step-by-step explanation:
Because you cant divide both of them by the same number.
26 - 20f = 6 please help me
Answers
explanation : subtract 26 from both sides and then divide by -20, making f = q
The current exchange rate for the mexican peso to the us dollar is 3 to.if a tourist dinner bill was 15 pesos,what is the amount in the us dollar
Answers
Answer:
5
Step-by-step explanation:
3x=15
x=15/3
x=5
which set of the numbers is equivalent to 75%? (0.75 3/5), (7.5 75/100), (3/4 0.075), (15/20 0.75)
Answers
Answer:
0.75
Step-by-step explanation:
it has to be 0.75 because to make a percentage you move decimal to the left twice and its a %. But i am sorry i do not know the second one, maybe someone else can help :)
Answer:
75.0
Step-by-step explanation:
A shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a
pair of shoes that has a wholesale cost of $67?
Answers
Answer:
$93.8
Step-by-step explanation:
(*markup is an increase in price)
67 + ( 40% × 67 )
= 67 + ( 40/100 × 67/1 )
= 67 + 26.8
= 93.8
......................................................................................
simplify the square root of 272
Answers
The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:
d = 0.04v + 1.1v
What is the stopping distance for a velocity of 10 miles per hour?
a. 10 ft
b. 7 ft
c. 15 ft
d. 13 ft
Answers
Note: The must be [tex]0.04v^2[/tex] instead of [tex]0.04v[/tex].
Given:
The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:
[tex]d=0.04v^2+1.1v[/tex]
To find:
The stopping distance for a velocity of 10 miles per hour.
Solution:
We have,
[tex]d=0.04v^2+1.1v[/tex]
where, d is stopping distance and v is velocity.
Substitute v=10 in the given equation to find the stopping distance for a velocity of 10 miles per hour.
[tex]d=0.04(10)^2+1.1(10)[/tex]
[tex]d=0.04(100)+11[/tex]
[tex]d=4+11[/tex]
[tex]d=15[/tex]
So, the stopping distance for a velocity of 10 miles per hour is 15 ft.
Therefore, the correct option is c.
A student finished a 30 question test in 75 minutes . Which rate best represents the relationship between the numbers of minutes spent on test questions and the number of questions?
Answers
1 question/2.5 mins is your answer
Answer:
It dosent say at this rate so all you need is this
Minutes/ questions which your answer is
75/30
Find the slope of each line.
Answers
Help plz mportant!!! Choose the point-slope form of the equation below that represents the line that passes through the point (-1.6) and has a slope of -3.
а. y - 6 = -3x - 3
b. y - 6 = -3(x + 1)
c. y=-3x + 3
d. 3x+y=3
Answers
Answer:
B
Step-by-step explanation:
point slope uses the form y - y1 = m(x - x1)
m stand for slope. in this case it is -3
x1 is -1 and y1 is 6
when you plug it in, you get
y - 6 = -3(x - [-1])
which simplifies to your final answer: y - 6 = -3(x + 1)
Which shape has six square, flat sides that are equal in size?
Answers
Answer: cube
Step-by-step explanation:
Think of a box .... it has 4 sides, a top, and a bottom = 6 total sides
Which of the following statements are true for a rhombus? It has two pairs of parallel sides. It has two pairs of equal sides. It has only two pairs of equal sides. Two of its angles are at right angles. Its diagonals bisect each other at right angles. Its diagonals are equal and perpendicular. It has all its sides of equal lengths. It is a parallelogram. It is a quadrilateral. It can be a square. It is a square.
Expand the product (x-3)(x+2)
Answers
The answer is-
x^2−x−6
what is the slope of the line?
plss answer now
Answers
Answer:
y= -3 I think but the next person will answer this for you
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Hint :
Slope of horizontal lines is
zero (( 0 )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus ;
[tex]slope = 0[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
1. A recipe for a pan of brownies requires 1.50
cups of milk, 0.675 cups of sugar, and 1.05
cups of oil. How many cups of ingredients
will there be in the mixing bowl?
Answers
Answer:
3.225 cups
Step-by-step explanation:
1.50 cups + 0.675 cups + 1.05 cups = 3.225 cups
1.50 cups
1.05 cups
0.675 cups
3.225 cups
Somebody help me fast
This is correct?!
Answers
Answer:
A.false
B.true
C.false
D.true
Please help, I will give brainliest to correct answer!!
n/4 = 6
What is the value of n?
Answers
Answer:
N=24
Step-by-step explanation:
N/4=6 (times 4 to the other side)
N=24
Answer:
n = 24
Step-by-step explanation:
1) Isolate n!
n/4 = 6
×4 ×4
n = 24
What method can be used to prove the triangles are congruent?
Answers
The answer would be aas
Answer:
The answer to this question would be AAS (Angle-Angle-Side)
Step-by-step explanation:
The triangles both have the same side and another same angle as shown in the image, but to make this AAS, there must be another angle, which is the center point of both triangles... these are the same because they are vertical angles.
Explain the economic activities of the people in North America.
Answers
The people living in the north America are involved in different economic activities like animal husbandry, industries, services, farming, fishing etcc …
Sam buys several pairs of jeans for $16.50 each, and a shirt for $25. Louis goes to a different store and buys the same number of jeans as Sam for $17.50 each, plus a shirt for $15. Is there a situation where both will pay the same amount for their purchases?
HELP MEEEE I HAVE TO TURN IT IN IN 10 MINUTES
Answers
Help quickly!!! Will give points!!
Answers
Answer:
you need to show the examples
Step-by-step explanation:
Q1W7 Learning Task 1 (Introduction)
Factoring Polynomials
On the chart below, find a factor in Column B of each of the given polynomials in Column A using the Factor Theorem.
Column A
1. x² + 6x + 8
2. x³ - 7x + 6
3. x³ - 2x² - 5x + 6
Column B
x-3
x-1
x+2
x+3
x+1
Answers
Answer:
Column A Column B
1. x² + 6x + 8 x-3,x+2
2. x³ - 7x + 6 x+1, x+2, x+3
3. x³ - 2x² - 5x + 6 x-1, x+2, x-3
Step-by-step explanation:
Column A Column B
1. x² + 6x + 8 x-3,x+2
2. x³ - 7x + 6 x+1, x+2, x+3
3. x³ - 2x² - 5x + 6 x-1, x+2, x-3
Using Factor theorem we put values of x = ±1,±2,±3 in each of the polynomials unless we get a zero.
1. x² + 6x + 8
= 1+6(1) +8= 15
1. x² + 6x + 8
4+ 12+8 = 24
1. x² + 6x + 8
(-1)² + 6(-1)+ 8
= 1-6+8= 3
1. x² + 6x + 8
(-2)² + 6(-2)+ 8
= 4-12+8= 0
1. x² + 6x + 8
(3)²+ 6(3) +8
= 9+18+8 ≠ 0
1. x² + 6x + 8
(-3)²+ 6(-3) +8
= 9-18+8 =-1
For this polynomial we have x+2= 0 or x=-2, x-3= 0 , x=3
2. x³ - 7x + 6
1-7+6= 0
2. x³ - 7x + 6
(-1)³-7(-1) +6
= 13-1≠0
2. x³ - 7x + 6
(2)³-7(2) +6
= 8-14+6= 0
2. x³ - 7x + 6
(-2)³-7(-2) +6
= -8 +14+6
2. x³ - 7x + 6
(-3)³-7(-3) +6
= -27+21+6 = 0
For this polynomial we have x+1= 0 , x+2 = 0 and x+3= 0, or x=-1,-2,-3
3. x³ - 2x² - 5x + 6
(1)³-2(1)²-5(1)+6
= 0
3. x³ - 2x² - 5x + 6
(-1)³-2(-1)²-5(-1)+6
= -1 -2 +5+6
=8
3. x³ - 2x² - 5x + 6
(2)³-2(2)²-5(2)+6
= 8-8-10+6
=-4
3. x³ - 2x² - 5x + 6
(-2)³-2(-2)²-5(-2)+6
= -8-8+10+6
=0
3. x³ - 2x² - 5x + 6
(3)³-2(3)²-5(3)+6
= 27-18-15+6
=0
3. x³ - 2x² - 5x + 6
(-3)³-2(-3)²-5(-3)+6
= -27-18+15+6
=-14
For this polynomial we have x-1= 0 ,x+2=0, x-3= 0or x=1,-2,3
What is the slope of a line perpendicular to the line whose equation is 2x-y=−6. Fully reduce your answer.
Answers
Answer:
m-perpindicular= -[tex]\frac{1}{2}[/tex]
PLEASE MARK BRAINLIEST
The ratio of 6th graders to 7th graders in a class of 35 students is 3:4. How many more 7th graders than 6th graders are in the class?
Answers
Answer:
Assessment started: undefined.
Item 1
The floor of a dollhouse is shaped like a rectangle with a length of 34 foot and a width of 512 foot. Use this model to determine the floor's area.
What is the floor's area?
Enter your answer as a fraction in simplest form by filling in the boxes.
Step-by-step explanation:
Room temperature ranges from 25 degrees Celsius to 25 degrees Celcius. Find the range of room temperature in degrees Fahrenheit. Use the formula F-32=1.8C to convert from the Celsius scale to the Fahrenheit scale.
Answers
Complete question :
Room temperature ranges from 20 degrees Celsius to 25 degrees Celcius. Find the range of room temperature in degrees Fahrenheit. Use the formula F-32=1.8C to convert from the Celsius scale to the Fahrenheit scale
Answer:
68°F to 77°F
Step-by-step explanation:
Given that:
Temperature range in degree celcius :
20°C to 25°C
The temperature range in degree Fahrenheit is :
Using the relation :
F-32=1.8C
20°C :
F-32=1.8(20)
F = 36 + 32
F = 68°
25°C :
F-32=1.8(25)
F = 45 + 32
F = 77°
Hence, range of room temperature in Fahrenheit scale is :
68°F to 77°F
Solve each equation:
5x=1
Answers
Answer:
5x=1
Step-by-step explanation:
51
Store M sells 5 DVDs for $49. Store S sells 8 DVDs for $59.50. Which store offers the best deal
on DVDs?
Answers
hi
5 for 49 means : 49/5 = 9+4/5 = 9.80 each
8 for 59.50 means 59.50/8 ≈ 7.44
second offer is the best deal
Dan uses 340 grams of blueberries to make 24 fluid ounces of smoothie. last week he made 54 fluid ounces of smoothie. how many grams of blueberries did dan use last week?
Answers
Answer: He used 765 grams of blueberries.
Step-by-step explanation:
The quantity of blueberries is directly proportional to the quantity of smoothie.
Equation of direct variation : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Substitute [tex]x_1=340\text{ grams},\ \ \ y_1=24\text{ fluid ounces}[/tex]
[tex]y_2=54\text{ fluid ounces}[/tex]
To find : [tex]x_2[/tex]
[tex]\dfrac{340}{24}=\dfrac{x_2}{54}[/tex]
[tex]\Rightarrow\ x_2=\dfrac{340}{24}\times54\\\\\Rightarrow\ x_2=765[/tex]
Hence, he used 765 grams of blueberries.