Answers
Answer:
Line segment AD
[tex]AD = \sqrt{(c-0)^{2}+(d-0)^{2}}[/tex]
[tex]AD = \sqrt{c^{2}+d^{2}}[/tex]
Line segment BC
[tex]BC = \sqrt{[(b+c)-b]^{2}+(d-0)^{2}}[/tex]
[tex]BC = \sqrt{c^{2}+d^{2}}[/tex]
Line segment AB
[tex]AB = \sqrt{(b-0)^{2}+(0-0)^{2}}[/tex]
[tex]AB = \sqrt{b^{2}+0^{2}}[/tex]
[tex]AB = b[/tex]
Line segment CD
[tex]CD = \sqrt{[c-(b+c)]^{2}+(d-d)^{2}}[/tex]
[tex]CD = \sqrt{b^{2}+0^{2}}[/tex]
[tex]CD = b[/tex]
Step-by-step explanation:
We defined the length of each side by the Equation of the Line Segment, which is a particular case of the Pythagorean Theorem. Let [tex]A(x,y) = (0,0)[/tex], [tex]B(x,y) = (b,0)[/tex], [tex]C(x,y) = (b+c, d)[/tex] and [tex]D(x,y) = (c,d)[/tex], we construct the equations below:
Line segment AD
[tex]AD = \sqrt{(c-0)^{2}+(d-0)^{2}}[/tex]
[tex]AD = \sqrt{c^{2}+d^{2}}[/tex]
Line segment BC
[tex]BC = \sqrt{[(b+c)-b]^{2}+(d-0)^{2}}[/tex]
[tex]BC = \sqrt{c^{2}+d^{2}}[/tex]
Line segment AB
[tex]AB = \sqrt{(b-0)^{2}+(0-0)^{2}}[/tex]
[tex]AB = \sqrt{b^{2}+0^{2}}[/tex]
[tex]AB = b[/tex]
Line segment CD
[tex]CD = \sqrt{[c-(b+c)]^{2}+(d-d)^{2}}[/tex]
[tex]CD = \sqrt{b^{2}+0^{2}}[/tex]
[tex]CD = b[/tex]
Related Questions
Manny buys 16 apples at the market and 8 oranges. what are the ratios of apples to oranges ?
Answers
Answer:
2:1 or 16:8
Step-by-step explanation:
Answer:
2:1
Apple: orange
Step-by-step explanation:
Divide the number of apples by the number of oranges
A company has two manufacturing plants with daily production levels of 5x + 17 items and 3x - 4 items, respectively. The first plant produces how many more items daily than the second plant? The first plant produces more items daily than the second plant. (Simplify your answer.)
Answers
Answer:
2x + 21
Step-by-step explanation:
Given :
Plant 1 : production level) 5x + 17
Plant 2 : production level = 3x - 4
To how much more plant 1 produces than plant 2 ; subtract production of plant 2 from plant 1
(5x + 17) - (3x - 4)
Open the bracket
5x + 17 - 3x + 4
5x - 3x + 17 + 4
2x + 21
A small college has 800 students
Answers
Answer:
ok
Step-by-step explanation:
29. Write an equation of the line that passes through (1, -3) and has slope 2.
Welp plz
Answers
Answer:
y = 2x - 5
Step-by-step explanation:
use the formula y - y1 = m (x - x1)
Is (4, 2) a solution to the system y-x=2 and -3x-2y=-8?
Answers
Answer:
It is only a solution to y = x - 2, not -3x - 2y = -8
Step-by-step explanation:
I) Check y = x - 2:
y = x - 2
2 = 4 - 2
As you can see, (4, 2) is a solution to this system.
II) Check -3x - 2y = -8:
-3x - 2y = -8
(-3)(4) - (2)(2) = -8
-12 - 4 =/= 8
-12 - 4 = -16, not 8. So (4, 2) is not a solution to this system.
Q4. Three students A, B and C had 3 soil samples. Each student poured 180 mL of water
into the soil samples they had. Time taken for the percolation of water through the three
soil samples was 25 min, 10 min and 40 min respectively. Which student had the soil with
the highest percolation rate?
Answers
Answer:
Student B
Step-by-step explanation:
Soil percolation is the porosity of soil to the downward flow of water through it. A soil with high percolation allows water to drain through it downwards in a less period of time.
From the given experiment by students, it takes 25 min for water to percolate through the soil sample of student A, 10 min for the soil sample of student B and 40 min for the soil sample of student C. Thus, the student that had the soil sample with highest percolation rate is B.
HELP ASAP PLEASE
Which best describes parallel lines?
Otwo lines that are always equidistant
O two lines that curve to form a circle
O two lines that intersect at multiple points
O two lines that originate from the same point
Answers
_________________________
_________________________
are parallel lines
charlie uses the expression 2x + 2x to represent the perimeter of a square. What does the variable x represent in this expression?
The area
The perimeter
The side lengths
The sum of 2 side lengths
Answers
Answer:
D The Sum of 2 Numbers
Step-by-step explanation:
2+2=4 > 24 > 24 + 24
Answer:
The side length
Step-by-step explanation:
7x + 2x^2 + 3x^2 - 2x
Answers
Answer:
Step-by-step explanation:
Explanations are below
Step 1
7x + 2x^2 + 3x^2 - 2x Observe the equation
Step 2
7x + 2x^2 + 3x^2 - 2x Combine the like terms
(2x^2+3x^2)+(7x+-2x)
Step 3
(2x^2+3x^2)+(7x+-2x) Simplify by adding and subtracting
Answer: 5x^2+5x
please answer this it is 25 points
Answers
Answer:
18 stamps
Step-by-step explanation:
3/5(30) = 90/5 = 18
Answer:
18 stampsStep-by-step explanation:
The chart tells you Zack has 30 stamps in total.
3/5 are animal stamps.
So you do
30 x 3/5 = 90 / 5 = 18
OR
30 / 5 x 3 = 6 x 3 = 18
Hope that helps!
Cuantos megametros hay en ocho millones de metros ?
Answers
Answer:
1 megámetro = 1000000 metros
Step-by-step explanation:
MUST HELP!!!! (50 POINTS) +BRAINLEST +5 STARS +THANKS ON PROLFILE!!!!
Figure A’B’C’ is an __________________________of figure ABC.
*fill in the blank*
Answers
Answer:
similar shape!!!!
Step-by-step explanation:
Answer:
Dialation
Step-by-step explanation:
Dilation is an increase in size, but does not change the shape
Milly has a equal number of 20p coins and 50p coins . The value of her 20p coins is £2.80 . Work out the total value of her 20p and 50p coins
Answers
Answer:
£9.80
Step-by-step explanation:
The computation of the total value is shown below:
Given that
The value of 20p coins is £2.80
So the value of 50p would be
= £2.80 × 50 ÷ 20
= £7
Now the total value is
= £2.80 + £7
= £9.80
What is the area of the figure below?
15 in 2
20 in 2
30 in 2
25 in 2
Answers
Answer:
25 [tex]in^{2}[/tex]
Step-by-step explanation: we can move the little triangle on the side to the missing part of the square and it says the length of the little triangle is 2 so we can do 2+3 since the height of the square with the missing side is 3. then we end up with the height being 5 and the base being 5. we know that A=bh so we can do A=5x5 and get 25 in squared
pls mark me branliest!!
Answer:
25ft2
Step-by-step explanation:
Mary's puppy weighs 12.4 pounds. This 27.9 pounds less than the weight of her dog. Write a SUBTRACTION equation to help you figure out many pounds Mary's dog weigh. Let d represent the weight of Mary's dog.
Answers
Answer:
x-27.9=12.4
Step-by-step explanation:
Prove the identity
secx-1/ tan x= tanx/ secx+1
To verify the identity, start with the left side and transform it to obtain the right side. Choose the correct step and transform the expression according to the step chosen.
secx-1/ tan x= sec-1 / tanx
Answers
Answer:
Proved
Step-by-step explanation:
The options are not given. So, I will solve from scratch
Given
[tex]\frac{secx-1}{tan x}= \frac{tanx}{secx+1}[/tex]
Required
Prove
Multiply the right-hand side by [tex]\frac{secx + 1}{secx + 1}[/tex]
[tex]\frac{secx-1}{tan x} * \frac{secx + 1}{secx + 1}= \frac{tanx}{secx+1}[/tex]
Apply difference of two squares on the numerator
[tex]\frac{sec^2 x - 1}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
In trigonometry:
[tex]tan^2x = sec^2x - 1[/tex]
So, we have:
[tex]\frac{tan^2 x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
[tex]\frac{tan x * tan x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
tan x cancels out
[tex]\frac{tan x}{secx + 1} =\frac{tanx}{secx+1}[/tex]
Proved
When a normal six sided die is rolled what is the probability of getting a 7
Answers
Answer:
0% chance
Step-by-step explanation:
Answer:
0/6
You can't roll a 7 on a 6 sided die.
Can you please help me..
Answers
Answer:
7
Step-by-step explanation:
The answer is 7
Trust me :)
Hence, determine the connection between the discriminant and the nature of the
roots of each equation in the table below:
Answers
Uniform Distribution Notation Format Which of the following is the correct notation used for a uniform probability distribution where the smallest value of the random variable X is 9, and the largest value of the random variable X is 28. X - B{9, 28) X - U(28.9) You Answered U - X(9, 28) Correct Answer X - U(9,28)
Answers
I WILL GIVE SO MANY POINTS PLS HELP
Charlotte walks home from school every day at a rate of
4 miles per hour. It takes her 30-minutes to reach
home. Her brother, Noah, runs home from the same
school every day at a rate of 6 miles per hour. How
many fewer minutes does it take Noah than Charlotte
to reach home from school each day? Be sure to
SHOW your WORK!
Answers
i might be wrong but you have to do proportions, i got 45 minute
Step-by-step explanation:
set it,it up by 30 minutes over 4 miles and x over 6 miles then you multiply by 6 and 30 which is 180 then divide by 4 and i got 45
Answer:
10 fewer minutesStep-by-step explanation:
Use formula
distance = time* speedThe distance between home and school:
4* 30 min = 4 * 0.5 hr = 2 milesNoah's time to reach home:
2 / 6 = 1/3 hr = 1/3*60 min = 20 minDifference in time:
30 min - 20 min = 10 minA scale model of a buliding is 18 inches tall. The actual building is 240 feet tall. What is the scale factor of the model? Write your answer as a fraction in simplest form.
Answers
Answer:
The scale factor of the model is 160.
Step-by-step explanation:
18 inches : 240 feet tall is also equal to
18 inches : 2880 inches
2880/18 = 160
Find the area of the shaded figure below
Answers
Answer:
I think 40 units
Step-by-step explanation:
hope you have a wonderful day
5-(x-3)+4x simplify equation
Answers
Answer: 3x+8
Step-by-step explanation:
Answer:
3x+8
Step-by-step explanation:
5-(x-3)=4x
5-x+3+4x
3x+8
What is the greatest common factor of 138 and 345?
Answers
Answer:
Step-by-step explanation:
Step by Step Solution. Calculate Greatest Common Factor for : 138, 345. Factorize of the above numbers : 138 = 2 • 3 • 23. 345 = 3 • 5 • 23. Build a prime factors table. ...
Why learn this.
Terms and topics. GCF calculator.
Related links. Greatest common factor (GCF) explained | Arithmetic (video) | Khan Academy. LCM on Purplemath.
Answer:
69 I believe.
Step-by-step explanation:
What is the domain of the function above? I HATE GRAPHS pls help
tyyyy
Answers
Answer:
-1<x<4
BLUE
Step-by-step explanation:
Mindy wants to cover a rectangular section of her back yard with gravel. The length of the section is 7 meters and the width of the section is 6.5 meters. A garden in the rectangular section of her back yard with an area of 25 square meters will not be covered with gravel. How much area will Mindy need to consider when purchasing the gravel?
Answers
Answer:
20.5 m^2
Step-by-step explanation:
entire back yard area = 7 x 6.5 = 45.5 m^2
45.5 - 25 = 20.5 m^2
PLEASE HELP THIS IS DUE SOON
A girl scout troupe baked a batch of cookies to sell at the annual bake sale. 1 point They made between 100 and 150 cookies. One fourth of the cookies were lemon crunch, and one fifth of the cookies were chocolate macadamia nut. What is the largest number of cookies the troop could have baked?
Answers
Answer:
150 cookies
Step-by-step explanation:
The girl scout troupe could have baked between 100 to 150 cookies. Therefore, the largest amount they could have baked is 150 cookies. The amount on how many lemon crunch and chocolate macadamia nut cookies they made doesn't matter here.
Hope this helps!
Candice buys 2/8 of a container of roasted peanuts. Alan buys 2/3 of a container. Both containers are the same size. Candice says 2/8 is between 1/2 and 1, so she buys more peanuts than Alan. Is Candice correct? Explain.
Answers
Since my name is in this question, I'll answer it :)
Answer:
Yes, she's right.
Step-by-step explanation:
2/8 is simplified to 1/4. Between 1 and 1/2, it is 1/4. So yes, I (Candice) was right. :)
1)15% of what number is 6?
Answers
Answer:
40
Step-by-step explanation:
Answer:
40
to solve this question
let the unknown number be x
Then,. x * 15% = 6
x * 15/100 = 6
x = 6*100/15
c = 40
hope it helps