Part B The three remaining sides of ABCD are not purely horizontal or vertical. You will use the Pythagorean Theorem to find the lengths of these sides. Start with AB place point E at (-5, 4), and draw AE and EB. Now you have right AAEB with AB as the hypotenuse. Find EB and AE using the coordinates of A, B, and E. Then use the Pythagorean Theorem to find AB. Show your work.
Answers
Answer:
EB = |1 – (− 5)| = 6
AE = |4 – (− 4)| = 8
Using the Pythagorean Theorem to find AB:
AB2 = EB2 + AE2
AB2 = 62 + 82
AB2 = 36 + 64
AB = [tex]\sqrt{100}[/tex]
AB = 10
Step-by-step explanation:
Answer:
AE = |4 + 4| = 8
EB = |1 + 5| = 6
Distance Formula: d = √(x2-x1)2 + (y2-y1)2
AB = √(x2-x1)2 + (y2-y1)2
A = (-5,-4)
B = (1,4)
AB = √(1-(-5))2 + (4-(-4))2
AB = √(6)2 + (8)2
AB = √(6)2 + (8)2
AB = √36 + 64
AB = √100
AB = 10
Related Questions
A rectangular prism has a
surface area of 287.4 cm'. The width is 9 cm, and
height 1.5 cm. Determine the length,
Answers
Answer:
12.4 cm
Step-by-step explanation:
Answer:
21.2888888889. it is wrong
Step-by-step explanation:
When the swimmers first arrived at the pool, the temperature of the water was only 72.5 degrees. By the time the first race started, the temperature had gone up 5.6 degrees. What was the temperature of the water when the first race started?
Answers
Answer:
The temperature of the water when the first race started was 78.1 degrees
Step-by-step explanation:
Addition
The temperature of the water of a pool was 72.5 degrees when the swimmers first arrived.
By the time when the first race started, the temperature had increased by 5.6 degrees.
To find the temperature at that very moment we have to add 72.5 degrees + 5.6 degrees = 78.1 degrees
The temperature of the water when the first race started was 78.1 degrees
PLLLLLLLSSSS HELP MMEEEEEE 30 pointsssss
The sum of three and four tenths and a number is six and six tenths.
6.6 is in one box. Below it are 2 boxes. N is in one. 3.4 is in the other.
Explain how to use the bar diagram to solve the problem.
Answers
Answer:
So you take 3.4 and subtract from 6.6 which equals 3.2. Then if you add 3.4+3.2= 6.6. Hope this helps.
Step-by-step explanation:
Sorry I am late hope this helps
Sample Response:
Sum means the result of adding two numbers. The bar diagram represents that an unknown number and 3.4 together make 6.6. So 3.4 + what number equals 6.6? The result is 3.4 + 3.2 = 6.6. The sum of 3.4 and 3.2 is 6.6.
Beth placed 91 books on a shelf. Twenty-eight of the books were nonfiction,13 of the books were poetry books,and the rest were fiction books. How many books were fiction
Answers
Answer:
50 fiction books
Step-by-step explanation:
if there are 91 books, it's simple subtraction. 91-28 is 63. 63 - 13 = 50. 50 fiction books, amiright?
Answer:
50
Step-by-step explanation:
28 Nonfiction + 13 Poetry = 41 books
91 - 41 = 50 Fiction
6x=108 if x=8 is it true or false
Answers
Answer:
False.
Step-by-step explanation:
The real number that x equals to is 18.
What does (a+b+c)²=?
Answers
Answer:
a²+b²+c²+2ab+2bc+2ca
Whose good at accounting please answer fast
Answers
Answer:
An Accountant?
Consider the following two cash flow series of payments: Series A is a geometric series increasing at a rate of 9.5% per year. The initial cash payment at the end of year 1 is $1,000. The payments occur annually for 5 years. Series B is a uniform series with payments of value X occurring annually at the end of years 1 through 5. You must make the payments in either Series A or Series B.
a. Determine the value of X for which these two series are equivalent if your TVOM is i = 9%. $
b. If your TVOM is 8%, would you be indifferent between these two series of payments? Enter the PW for each series to support this choice.
c. If your TVOM is 5%, would you be indifferent between these two series of payments? Enter the PW for each series to support this choice.
Answers
Answer:
Step-by-step explanation:
From the given information;
The present value of series A:[tex]=\Big[1000 \times \dfrac{(1.095)^0}{(1.09)^1}\Big]+\Big[1000 \times \dfrac{(1.095)^1}{(1.09)^2}\Big]+...+\Big[1000 \times \dfrac{(1.095)^4}{(1.09)^5}\Big][/tex]
[tex]= 1000 \Big [ \dfrac{1}{1.09}+ \dfrac{1.095}{1.1881}+ \dfrac{1.199}{1.295}+\dfrac{1.313}{1.912}+\dfrac{1.438}{1.539}\Big][/tex]
[tex]= 1000 \Big[ 0.917 + 0.922 + 0.926 + 0.930 + 0.934\Big][/tex]
[tex]= 1000 \times 4.629[/tex]
[tex]= \$4629[/tex]
Thus, the present value of series A is = $4629
Present value of series A = Present value of series B
[tex]The \ value \ of\ X = \dfrac{Present \ value \ of \ series \ B }{\Big [\dfrac{1-(1+r)^{-n}}{r} \Big ]}[/tex]
[tex]The \ value \ of\ X = \dfrac{4629 }{\Big [\dfrac{1-(1+0.09)^{-5}}{0.09} \Big ]}[/tex]
[tex]The \ value \ of\ X =\dfrac{4629 \times 0.09}{1-0.6499}[/tex]
[tex]The \ value \ of\ X =\dfrac{416.61}{0.3501}[/tex]
[tex]The \ value \ of\ X =1189.97[/tex]
Thus, the value of X = $1189.97
2.
The present value of series A:
[tex]=1000 \times \Big[\dfrac{(1.095)^0}{(1.08)^1}+ \dfrac{(1.095)^1}{(1.08)^2}+...+\dfrac{(1.095)^4}{(1.08)^5}\Big][/tex]
[tex]=1000 \Big [ \dfrac{1}{1.08}+ \dfrac{1.095}{1.1664}+\dfrac{1.199}{1.2597}+\dfrac{1.313}{1.3605}+\dfrac{1.438}{1.4693}\Big ][/tex]
[tex]= 1000\Big [ 0.9259 + 0.9839+0.952 + 0.965+0.979\Big ][/tex]
[tex]= 1000 \times 4.76059[/tex]
[tex]\simeq \$4761[/tex]
Thus, the present value of series A is = $4761
Present value of series B =[tex]Value \ of \ X \times \Big [ \dfrac{1 - (1+r)^{-n} }{r}\Big ][/tex]
[tex]= 1189.97 \times \Big [ \dfrac{1 - (1+0.08)^{-5} }{0.08}\Big ][/tex]
[tex]= \dfrac{1189.97}{0.08} \times \Big ( 1 -0.6806\Big )[/tex]
[tex]= 14874.625 \times 0.3194[/tex]
[tex]= \$4750[/tex]
Thus, the present value of series B = $4750
3.
The present value of series A:
[tex]=1000 \times \Big[\dfrac{(1.095)^0}{(1.05)^1}+ \dfrac{(1.095)^1}{(1.05)^2}+...+\dfrac{(1.095)^4}{(1.05)^5}\Big][/tex]
[tex]=1000 \Big [ \dfrac{1}{1.05}+ \dfrac{1.095}{1.1025}+\dfrac{1.199}{1.1576}+\dfrac{1.313}{1.2155}+\dfrac{1.438}{1.276}\Big ][/tex]
[tex]= 1000\Big [ 0.9524 + 0.9932+1.0357 + 1.08+1.127\Big ][/tex]
[tex]= 1000 \times 5.1883[/tex]
[tex]\simeq \$5,188[/tex]
Thus, the present value of series A = $5188
Present value of series B: =[tex]Value \ of \ X \times \Big [ \dfrac{1 - (1+r)^{-n} }{r}\Big ][/tex]
[tex]= 1189.97 \times \Big [ \dfrac{1 - (1+0.05)^{-5} }{0.05}\Big ][/tex]
[tex]= \dfrac{1189.97}{0.05} \times( 0.2165)[/tex]
[tex]= \$5152.57[/tex]
Thus, the present value of series B = $5153
Given that 9x – 8y = 16
Find x when y = -8
Give your answer as an improper fraction in its simplest form.
Answers
Answer:
x=-16/3
Step-by-step explanation:
9x-8(-8)=16
9x+64=16
9x=-48
x=-48/9
x=-16/3
CAN SOMEONE HELP SO I DONT FAILLLLL
Answers
Answer:
2[tex]\sqrt{22}[/tex]
Step-by-step explanation:
Use pythagorus's theorem:
a²=b²+c²
13²=9²+x²
169=81+x²
x²=88
x=[tex]\sqrt{88}[/tex]
x=[tex]\sqrt{22*4}[/tex]
x=[tex]\sqrt{22} \sqrt{4}[/tex]
x=2[tex]\sqrt{22}[/tex]
Answer:
What the girl said
Step-by-step explanation:
five hundred and fifty four thousandths in number form
i need for homework
Answers
Answer:
54.0054
Step-by-step explanation:
hope it helps you
please mark me as brainlist
King raised $28, which is 35% of their goal.
What is the band's goal?
Answers
Answer:
(1 - .35) x $28 = $18.20
I need help on these questions please help if you know
Answers
Answer:
42 < 63 < 75
Step-by-step explanation:
E-Z
Find four consecutive Integers such that the product of the first and the fourth is 22
less than the product of - 10 and the third integer.
Answers
This is the answer I hope that can help you si soy tu
There are ten red cards in a sack and two blue cards in the same sack. How likely is it for you to draw a red card if you make one draw?
Answers
Answer:
83%
Step-by-step explanation:
I think this is the correct answer
factorise fully 18e^2f^3-12e^2f
Answers
Answer:
[tex]18e^2f^3-12e^2f = 6e^2f(3f^2-2)[/tex]
Step-by-step explanation:
Given
[tex]18e^2f^3-12e^2f[/tex]
Required
Factorize:
[tex]18e^2f^3-12e^2f[/tex]
Express 18 as 6 * 3 and 12 as 6 * 2
[tex]18e^2f^3-12e^2f = 6*3e^2f^3-6*2e^2f[/tex]
Factor out 6
[tex]18e^2f^3-12e^2f = 6(3e^2f^3-2e^2f)[/tex]
Factor out [tex]e^2[/tex]
[tex]18e^2f^3-12e^2f = 6e^2(3f^3-2f)[/tex]
Factor out f
[tex]18e^2f^3-12e^2f = 6e^2f(3f^2-2)[/tex]
the line for the equation y = 1 horizontal or vertical? What is the slope of this line?
Answers
Answer:
The line is horizontal and the slope is 0.
Step-by-step explanation:
Any line that is horizontal has a slope of 0.
Amy is a years old.
Zack is 7 years older than Amy.
Using a, write an expression for Zack's age.
Answers
Answer:
x + 7
Step-by-step explanation:
amy is unknown x + 7 equals zack
1. The cost of a fish dinner for a restaurant is $7.95. If they sell it for $11.95, what is the percent markup?
2. If the present salary of an employee is $36,500 and they are to receive a 7% raise next year, what will be the new salary?
3. In 1810, the U.S. land size was 1.68 square miles (in millions). In 1850, it was up to 2.94 square miles (in millions). What was the percent increase?
Answers
Answer:
39,055
Step-by-step explanation:
so you say 6 over 100 multiplied by $36,500 over 1. then 100 into 36,500 then you get 365. then you say 6 multiplied by 365 and you get 2,555. then you say 2,555 plus 36,500 then you get 39,055
a) 25 + 97 - 72
46 -19 + 55
185 - 82 + 39
Answers
Answer:
254
Step-by-step explanation:
Add everytin step by step.
68x2 – 60y - 9x2 + y2
Answers
It intersects its midline at (-3.5,-0.8) and it has a maximum point at (4.1,0.7) what is the units
Answers
Answer:
7.7466
Step-by-step explanation:
Hope it helps:)
HELP ASAP PLEASE I NEED TO TURN THIS IS IN 3 HOURS
Answers
Answer:
The answer is 170 feet
This is how to solve the question
When you are below sea level it means that you are at a negative (in math terms)
So you are 50 feet below sea level and you want to get to a place that is 120 feet high
So you take 50 into account because your starting below sea level then you add 120 for the distance to get up the mountain
120+50= 170
Hope that helps!
You have a gross annual income of $175,000 and have been pre-approved for a 30-year mortgage loan at 3.375% as long as the back-end ratio does not exceed 36%. The house you want to buy costs $560,000, and you plan to make a down payment of 20%. Your monthly payment would be $1980.59. Your research shows that the semi-annual property taxes for this house are $3,450. You have been given a quote from your insurance company of a $1,290 annual premium. You currently have a $579 monthly car payment and your monthly credit card bills average $2,000
Answers
Answer:
Step-by-step explanation:
Answer:
There's a proportion relationship between number of shell and their cost
Step-by-step explanation:
The graph is not given.
However, I've added the appropriate graph as an attachment.
From this, point....
I'll show that the cost and number of shells as given in the question are proportional.
Represent cost with y and number of shells with x
x = 2 when y = 0.8
x = 3 when y = 1.2
x = 4 when y = 1.6
Divide each value of y by x to get the constant of proportion (r).
r = y/x
r = 0.8/2 = 0.4
r = 1.2/3 = 0.4
r = 1.6/4 = 0.4
Notice that the values of r remain constant.
Hence, there's a proportion relationship between both
And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.
The graph is not given.
However, I've added the appropriate graph as an attachment.
From this, point....
I'll show that the cost and number of shells as given in the question are proportional.
Represent cost with y and number of shells with x
x = 2 when y = 0.8
x = 3 when y = 1.2
x = 4 when y = 1.6
Divide each value of y by x to get the constant of proportion (r).
r = y/x
r = 0.8/2 = 0.4
r = 1.2/3 = 0.4
r = 1.6/4 = 0.4
Notice that the values of r remain constant.
Hence, there's a proportion relationship between both
And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.
Old MacDonald had a farm. On this farm he had some cows and chickens. When he “took stock” (counted), the farmer had 15 animals and 44 legs. How many cows and chickens did Old MacDonald have? PLS ANSWER
Answers
Answer:22
Step-by-step explanation:
Answer:
Step-by-step explanation:
let x be chickens and y be cows
x+y=15
x=15-y
2x+4y=44, using x=15-y
2(15-y)+4y=44
30-2y+4y=44
2y+30=44
2y=14
y=7, since x=15-y
x=8
So there are 8 chickens and 7 cows.
Maria is x old her sister is twice her age write an expression in simplest form that represents the sum of the ages of the two sisters
Answers
Answer:
x*2=y+x= both
Step-by-step explanation:
y would be her sister age, you would have to multiply Marias age by 2 to get her sisters age since her sister is twice her age then you have to add them together to get the sum of both their ages.
Example: maria is 16
16*2=32+16=48
so the sum of both of their ages is 48 (JUST AN EXAMPLE)
can someone help with this!!! Im a little stuck!
Answers
what kind of math is this X_X
Which of following is the graph of y = -(x + 1)- -3?
Answers
Answer:
Here is you graph
Step-by-step explanation:
:)
72 greater than a is at least 7
Answers
4(x – 3)
need help answering this question
Answers
Answer:
4x-12
Step-by-step explanation:
4 x x is 4x and 4x-3 is -12