Enter the values needed to find the
length AB. (Simplify your answer.)
A(-3a, b)
B(3a b)
AB = V([?D2 + (0)2
Cra, 5b)
Distance Formula
Pleases help
Answers
The value that can take the place of "?" is -6a. The length of line AB is 6a units.
What is the length of any line on the graph?The distance or length of any line on the graph,
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where,
d = distance/length of the line between point 1 and 2,
(x₁ , y₁) = coordinate of point 1,
(x₂ , y₂) = coordinate of point 2,
The length of a line with two points known is written as,
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given the coordinate of points A and B are (-3a,b) and (-3a,b), respectively. Therefore, the length of the line AB can be written as,
[tex]AB = \sqrt{(-3a-3a)^2+(b-b)^2}\\\\AB = \sqrt{(-6a)^2+(0)^2}\\\\AB = 6a[/tex]
Hence, the length of line AB is 6a units.
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Related Questions
Richard wants to purchase one large pizza and some soft drinks for a club meeting. He compares the prices at two restaurants. Each soft drink at the first restaurant has the same price. The table below shows y, the total price of one large pizza and x soft drinks at the first restaurant. At the second restaurant , the total price, y, of one large pizza and x soft drinks can be represented by the equation below: y= 1.5x + 18. Which of the following statements is true?
Answers
Answer:
The price of one soft drink is more at the second restaurant than at the first restaurant.
Joe wants to make a epecial cleaning mixturefor his hardwood floors. He needs 3/4 cup of vinegar,2/4cup of clorox and 1/4 cups of water. How much cleaner does Joe have when he is finished makeing the mixture?
Answers
Answer: 1 1/2.
Step-by-step explanation: Joe is using 3/4 cup of vinegar, 2/4 cup of Clorox, and 1/4 cup of water to make a special cleaning mixture right? He's going to mix all of those ingredients together, which means that this is an addition problem. When we add 3/4, 2/4, and 1/4 cups, we add the numerators to get our answer:
3/4 + 2/4 + 1/4 = 6/4, or 1 2/4, or 1 1/2 cups of cleaner in total when we simplify.
Therefore, the total amount of cleaner he makes is 1 1/2 cups.
Let me know if this is right! :)
a theater has 30 rows with 27 seats in the first row, 31 in the second row, 35 in the third row, and so forth. How many seats are in the theater
Answers
Answer:
Question relates to a Arithmetic Sequence {30,32,34...} where d = 2
and the terms are the enumber of seats in each row.
S%5Bn%5D=%28n%2F2%29%282%2Aa%5B1%5D%2B+%28n-1%29d%29 |Sum of the seats in the 26 rows.
S%5B26%5D=%2826%2F2%29%282%2A30%2B+%2825%292%29 = 1430 seats in the ALL 26 rows
Step-by-step explanation:
The combined area of a square and a rectangle is 225 square yards. the length of the rectangle is 8 times the width of the rectangle and the length of a side of the square is the same as the width of the rectangle. find the dimensions of the square and the rectangle.
Answers
Answer:
The rectangle: L = 40 yards. W = 5 yards
The square: The length and width are both 5 yards.
Step-by-step explanation:
Let L and W be the length and width of the rectangle.
Let l and w be the length and width of the square.
Area for each is:
Rectangle: L*W
Square: l*w
We are told that L*W + l*w = 225 yards^2
We are also told that
L = 8W
and that
l = W
Since the sides of a square are all equal, w is also W: w=W
Summarizing and substituting:
L*W + l*w = 225 yards^2
(8W)*W + W*W = 225 yards^2
8W^2 + W^2 = 225 yards^2
9W^2 = 225 yards^2
W^2 = 25
W = 5 feet
---------------------
Therefore, since L = 8W , L = 40 yards. W = 5 yards for the rectangle.
The square: l=W, so l = 5 yards, and thus w=5 yards
--------------------------
Check:
Do a rectangle of 40' x 5' plus a square of 5' x 5' have a total combined area of 225 yards^2?
40yd x 5yd + 5yd x 5yd = 225 yards^2?
200 yd^2 + 25 yd^2 = 225 yards^2?
YES
Round 21254 to the nearest thousand
Answers
Step-by-step explanation:
22000
.
.
.
.
.
is the correct answer
Answer:
21,000
Step-by-step explanation:
254 is less than 500 so you would round downwards. Or you can look at is as 2 (representing the 254) is less than 5 (500)
what is 2x - 3y + 5z, x = 5 , y = one third, z =3 what does it equal
Answers
Answer:
24
Step-by-step explanation:
substitute the given values into the expression
2x - 3y + 5z
= 2(5) - 3([tex]\frac{1}{3}[/tex] ) + 5(3)
= 10 - 1 + 15
= 9 + 15
= 24
what distance is travelled by a bus that travels at 105kph in 5 hours
Answers
Answer:
21mph = 33.80 km/h
Step-by-step explanation:
Speed = Distance / Time = 105 kph / 5 hours = 21 mph = 33.80 km/h
What is the distance traveled by the bus at a speed of 105 kph in 5 hours?
Answer:The distance traveled by the bus is 525 kilometers.
Step-by-step explanation:As per the provided information in the given question, we know that the speed is given by 105 kph. The time is given by 5 hours. In this problem, we are tasked to find the distance traveled by the bus.
To do this, we will use the formula below:
[tex]\large\begin{aligned}\bigstar\:\boxed{\rm{\: Distance = Speed \times Time \:}} \end{aligned}[/tex]
Substitute the given values into the formula given above and solve for Distance:
[tex]\large\begin{aligned}\rm:\implies{Distance}& = \rm{Speed \times Time} \\\rm:\implies{Distance} & =\rm{105\: kph \times 5\: hrs} \\\rm:\implies{Distance} & =\rm{525\: km} \end{aligned}[/tex]
Hence, the distance traveled by the bus is 525 kilometers.
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Since it arrived at a zoo, a rhinoceros's weight has increased from 1 1/4 tons to 2 1/4 tons. By what percent has the rhinoceros's weight increased?
Answers
Answer:
80 percent increase in weight
Step-by-step explanation:
(2 1/4 - 1 1/4)/ 1 1/4 = 1/ (1 1/4) = .8 80 % increase
Evaluate if a = 28 and b = -3. a over 4 + b =
Answers
Answer:
28
Step-by-step explanation:
a / (4 + b)
(28) / (4 + -3)
(28) / (4 - 3)
(28) / (1)
28
. In triangle DEF, the measure of angle D is 122º. Angle E is acute, and angle F is 19º. What is the measure of angle F in degrees?
Answers
Answer: 19 degrees is your answer
Step-by-step explanation:
If a = -3, find the value of
a) 2a
b) a^2
c) 3a^2
Answers
Answer:
a) -6
b) 9
c) 27
Step-by-step explanation:
[tex]2( - 3) = - 6 \\ { - 3}^{2} = - 9 \\ 3 {( - 3)}^{2} = 27[/tex]
[tex]\textbf{a)}\\\\2a=2(-3) = -6\\\\\textbf{b)}\\\\a^2 = (-3)^2 = 9\\\\\textbf{c)}\\\\3a^2 = 3(-3)^2 = 3 \cdot 9 = 27[/tex]
Which equation represents exponential growth?
Answers
Answer:
D represents exponential growth.
what is the answer to this equation 4x + 5y =6
Answers
Answer:
Step-by-step explanation:
This equation has no solution. You have one equation with two variables, so it cannot be solved. If you have another equation having the same variables x and y, then by using simultaneous equations, values of x and y can be solved. But to this equation 4x + 5y = 6, there is no solution for the reason mentioned above.
Show that KLPQ is a parallelogram
for m = 14 and n = 12. 5. .
L
(5m + 36)
P
(6n – 1)º
(4m + 50)
K
Answers
Step-by-step explanation:
m = 14, n = 12.5
m<L = (5m + 36)° = (5(14) + 36)°
L = 106°
m<p= (6n-1°)=(6x12.5-1°)
p=74°
m<Q = (4m + 50)° = (4(14) + 50)°
Q = 106°
k=360°-(106°+74+°106°)=360°-286°
k=74°
The sum of the interior angle of a parallelogram is 360°
The opposite side of a parallelogram are equal.
Study the following chemical equation. Identify the total number of atoms before and after the reaction. N₂ + 3H₂ → 2NH3
Answers
Before reaction, total number of nitrogen atoms is 2, also the total hydrogen atoms is 6. After the reaction, still, we have the same number of nitrogen atoms as 2, and hydrogen atoms as 6. This therefore obeys the law of conservation of mass that during a chemical reaction, matter is neither created nor destroyed.
HELP FIND THE AREA OF PARRELLEGRAM
Answers
Answer:
36.36 in^2
Step-by-step explanation:
Base * height
7 * 6 sin 60 = 36.37 units^2
You are forming words in which the first letter is either P, B, or M; the second letter is either A or E; and the third letter is either N or T. If each possible word is written on a slip of paper and you choose one slip at random, what is the probability that the second letter is an A?
Answers
Using it's concept, it is found that there is a 0.5 = 50% probability that the second letter is an A.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we consider that:
For the first letter, there are 3 outcomes.For the second letter, there are 2 outcomesFor the third letter, there are 2 outcomes.Hence, the total number of words is:
T = 3 x 2 x 2 = 12.
With the second letter being A, the number of words is:
D = 3 x 1 x 2 = 6.
Hence, the probability is given by:
p = 6/12 = 0.5.
More can be learned about probabilities at https://brainly.com/question/14398287
What is the area of a circle with a diameter of 15. 8cm? To the nearest hundredth
Answers
Answer:
see below
Step-by-step explanation:
First we need to find the radius
r =d/2 = 15.8/2 = 7.9 cm
The area of a circle is given by
A = pi r^2
= pi ( 7.9) ^2
=62.41 pi
Using 3.14 for pi
195.9674
To the nearest hundredth
195.97
Using the pi button
196.0667975
To the nearest hundredth
196.07
Good afternoon or morning, I need help with this work.
Answers
pls make me brainliest and like thnxs :)
Step-by-step explanation:
D is not true
Answer:
A.
i hope these helps :)
Tyesha found that the z-statistic was 2.1 and that the critical z-values were -1.96 and 1.96. Which of the following is a valid conclusion based on these results?
A.One can reject the null hypothesis.
B.One can reject the alternate hypothesis.
C.One can accept the null hypothesis.
D.One cannot accept or reject the null hypothesis.
Answers
Answer:
its the blah to the right
Solve For x and Solve For y:
Answers
Answer: y= 16.97 ×=7.27
Step-by-step explanation:
Click on file for workings
(a) Joydeep receives a normal hourly wage of $18.60 and time-and-a-half for
any overtime. On public holidays he receives double-time with a minimum
of 4 hours paid. What is his wage for a week in which he works 40 normal
hours,6.5 hours overtime and 3 hours on a public holiday?
Answers
Answer:
I'm sorry I don't understand you can give me anything other than math
The table shows a linear function.
Answers
Answer:The slope of linear function is same for all pair of points on line.
Step-by-step explanation:
Need ASAP!
What is the exact value of CosA?
Answers
Answer:
cos A = 5/8
Step-by-step explanation:
In a right triangle cos ( angle ) = (adjacent side) / (hypotenuse )
so cos A = 5/8
10. Hayden is comprising a statement with all his
financial assets and liabilities. The assets are shown
as a positive number, and the liabilities are shown as a
negative number. What is the balance of his savings
account?
ITEM
VALUE (S)
CHECKING ACCOUNT
$2,540
INVESTMENTS
$6,000
CREDIT-CARD DEBT
-$880
PERSONAL LOANS
-$ 1,500
SAVINGS
TOTAL NET WORTH $6,760
F. $1,260
H. $810
G. $1,680
J.)$600
Answers
The balance in Hayden's savings account is $600.
What is the balance of the savings account?
Net worth is total assets less liabilities. Assets are items owned by a person that creates benefits in the future to the person. Liabilities are what are owed to another person.
Net worth = assets - liabilities
6760 = (2540 + 6000 + savings) - (880 + 1500)
6760 = 8540 + savings - 2380
Savings = 6760 - 8540 + 2380
Savings = $600
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Sketch a quadrilateral with no right angles and sides all the same length. What type of quadrillion have you sketched? include your sketch in your answer.
Answers
Answer:
A rhombus
Step-by-step explanation:
2 acute and 2 obtuse angles
Answer:
A rhombus
Step-by-step explanation:
I got it correct in school
(sorry I'm late!)
1 fluid once is equivalent to?
Answers
proboley like 1/16 of a cup?
MATH
can somebody answer these questions for me??
Answers
Answer: a. im not too sure about
B. independent variable is speed, dependent is stopping distance.
C. you already did, just make sure to draw the line connecting the dots!
Step-by-step explanation:
independent variable is one that doesn’t change because of the other variable. dependent changes.
i hope this helps!!
What is the area of the semicircle (use 3.14 for p)?
Please help! Will mark brainlyest.
Answers
Answer:
127.17 cm²
Step-by-step explanation:
Area of a semicircle: 1/2*π*r²π (pi) = 3.14r (radius) = d (diamater) / 2 => 18/2 = 9 cmA = 1/2*π*r²
A = 1/2*3.14*9²
A = 1/2*3.14*81
A = 3.14*40.5
A = 127.17 cm²
Therefore, the area of the semicircle is 127.17 cm²
Hope this helps!
Answer: the first option: 127.17cm2
Step-by-step explanation:
1. divide the diameter in half to get the radius.
2. multiply the radius squared by pie
3. divide that answer in half
so:
9*9=81
81*3.14= 254.34
254.34/2= 127.17
HELP PLS ILL GIVE BRAINLIEST
Which expression is equivalent to v4? Select all that apply.
Group of answer choices
v + v + v + v
v ^3 v
v^2 + v^2
4v
2v ^2
(v) (v) (v) (v)
Answers
Answer:
the first one thats v four times so v⁴
the second one v³v combine like terms v⁴
i think thats it