Given:
The vertices of a rectangle are (6, 3), (−6, 3), (−6, −1), and (6, −1).
To find:
The perimeter of the rectangle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2-(y_2-y_1)^2}[/tex]
Let the vertices of a rectangle are A(6, 3), B(−6, 3), C(−6, −1), and D(6, −1).
Using the distance formula, we get
[tex]AB=\sqrt{(-6-6)^2-(3-3)^2}[/tex]
[tex]AB=\sqrt{(-12)^2-(0)^2}[/tex]
[tex]AB=\sqrt{144}[/tex]
[tex]AB=12[/tex]
Similarly,
[tex]BC=\sqrt{\left(-6-\left(-6\right)\right)^2+\left(-1-3\right)^2}=4[/tex]
[tex]CD=\sqrt{\left(6-\left(-6\right)\right)^2+\left(-1-\left(-1\right)\right)^2}=12[/tex]
[tex]AD\sqrt{\left(6-6\right)^2+\left(-1-3\right)^2}=4[/tex]
Now, the perimeter of the rectangle is:
[tex]Perimeter=AB+BC+CD+AD[/tex]
[tex]Perimeter=12+4+12+4[/tex]
[tex]Perimeter=32[/tex]
Therefore, the perimeter of the rectangle is 32 units.
what is the quotient of 13 divided by 8
Gross profit of Inner Spark's company amounted to Php275,000. Net Sales is Php400,000 compute for cost of goods sold?
Answer:Cost of goods sold =Php125,000
Step-by-step explanation:
Profit = Cost Price-Selling Price
Also we know that
Gross Profit = Net Sales– Cost of Goods Sold
Php275,000=Php400,000– Cost of Goods Sold
Cost of Goods Sold=Php400,000-Php275,000=Php125,000
9=7+a
a+8=b+5
what is b
Answer:
b=5
Step-by-step explanation:
9=7+a
-7
2=a
a+8=b+5
10=b+5
-5
5=b or b=5
Directions: Find the value of each variable.
HELPPPP
Answer:
wow I'll need time to figure this out
10% of ___ =5 ples help
Answer:
50
Step-by-step explanation:
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
5/8
What is the equivalent decimal?
Answer:
0.625 62.5%
Step-by-step explanation:
Answer:
Step-by-step explanation:
Dividing 5 by 8 on a calculator results in the "equivalent decimal:"
5/8 = 0.625
0.625 converts to 62.5%: a percent
5/8 is a proper fraction
Jason solved the percent problem below and got
X=133%. Did he do it correctly? Explain your reasoning.
Answer:
No is incorrect 4/27 is right
Step-by-step explanation:
The function f(x) = |x| is shifted to the left 3 units and down 2 units to make the function g(x) . Write the equation g(x) that illustrates this change.
Answer:
g(x) = |x+3|-2
Step-by-step explanation:
to move horizontally replace each x with (x ± c)
if you move it to the right, you need x - c
if you move it to the left , you need x + c
so , since we are moving 3 units to the left, we replace the x with x+3
g(x) = |x+3|-2
PLEASE ASAPPPP I AM BEGGING YOU I WILL GIVE EXTRA POINTS AND BRAINLIEST!!!!!!!!
Answer:
1. 18
2. 5
3. 8
4. 6
5.-12
Step-by-step explanation:
im not really sure how to explain it to you but the first one that were positive numbers you can just subtract them and get the answer which i gave the forst five to you and when you are this is just an example of the adding the negative numbers 4. -15 + n = -9 you can subtract it and you'll get -15 - (-9) = -6
but if you put negative six it's gonna be the wrong answer sooo you just switch it to a positive number 6 because if you put -15 + (-6) = -21 and when its like this -15 + n = -9 the answer is smaller that the bigger number sooo the only right thing to do it put the positive 6
i hope i got you understanding it a little more if i didnt im soory i tried but the 5 answers i gave you correct
While grocery shopping, you notice your favorite brand of soda has a big sticker, "Now 50% more than our 12oz!" How much soda is in the new bottle? Show all work.
Answer:
18 ounces
Step-by-step explanation:
Answer:
im not sure but maybe it should be 18 ounces
Kensington charges $20 per hour, h, teaching music lessons. Last year, Kensington earned $37,705, including tips, t. Given this information, which of the following equations can be used
the amount Kensington made in tips last year?
Of=37705 + 20h
O t = 37705 - 20h
Ot=37705h + 20
O = 37705h - 20
Answer:B-t=37705-20h
Step-by-step explanation:The answer is B because you need to get rid of all of the money she made working so you subtract 20 by how ever many hours she has worked
Answer:
Second option : t = 37705 - 20h
Step-by-step explanation:
I took the test
Someone help plz make sure it’s right and include work plz or explanation
Answer:
right triangle
Step-by-step explanation:
Answer:
Right triangle is your answer ☺️☺️☺️
You deposit $300 dollars in a savings account the account earns 10% simple interest per year whats the interest after 8 years
Answer:
$240
Step-by-step explanation:
Given data
Principal= $300
Rate= 10%
Time= 8 years
We know that the expression for the simple interest is given as
SI= PRT/100
Substitute
SI= 300*10*8/100
SI= 24000/100
SI= $240
Hence the interest is $240
You're a quality control manager in a fruit juice company. You want to choose
a sample size for a quality check on the cans used to package the juice. From
a batch of 30,000 cans, you want a sample size that will allow you to closely
approximate the population parameters for the entire batch. Which sample
size will most likely produce the least variability among different samples?
Answer:
246.
Step-by-step explanation:
a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78
b) The minimum sample size to achieve this is 246.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population(square root of the variance) and n is the size of the sample. So in this question,
The lower end of the interval is the sample mean subtracted by M. So it is 99 - 0.78 = 98.22
The upper end of the interval is the sample mean added to M. So it is 99 + 0.78 = 99.78.
a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78
(b) (5 points) If we want the sampling error to be no greater than 0.5, what is the minimum sample size to achieve this based on the same confidence level with part (a)
We need a sample size of n
n is found when
Then
Rounding up
The minimum sample size to achieve this is 246.
Check the box labeled show altitude of triangle ABC. The altitude divides ABC into ADB and BDC through the point you determined in question 2.
I what is the area of this rectangle
11 * 17 = 187
187 is your answer
Answer:
187in Squared
Step-by-step explanation:
One winter's day the temperatures were recorded in five different cities in New York State. The table below shows the results of this recording. What is the mean or average temperature of the five cities?
Answer:
Add them all up -11+-18+12+-8+21=-4
Then do -4/5= -.8
I need help!!!!!!!! Please help me solve this!!!
Answer: y = 2x + 2
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10 The variety of organisms within an ecosystem is characteristic of which type of diversity? a. Genetic diversity b. Ecosystem diversity c. Species diversity d. Regional diversity Please select the best answer from the choices provided A B C D Mark this and return
Answer:
its C (Species diversity)
Step-by-step explanation:
I need help finding the equation for solving x, can someone help me? I don't need the answer, just the equation. :)
Answer:
25?
Step-by-step explanation:
Answer:
x+139 = 132
Step-by-step explanation:
In a film showing by the dramatic club, a ticket costs 50 pesos for members. What will be expression for non members if the ticket costs 5 pesos more than the members? Algebra.
Answer:
Expression represents this situation is 50+5 pesos.
Step-by-step explanation:
A ticket costs 50 pesos for a member of a club.
Non club member ticket cost is 5 pesos more than the member.
So, expression represents this is 50+5 pesos
PLS HELPPPP!! ITS DUE TODAY!!!! ASAP!!! AHHH. No links
Answer:
x=18, 96-24=72, x+3x=72, 4x=72, x=18
Step-by-step explanation:
Alexandra buys sweatshirts for $12 each. In her store, she sells each sweatshirt for $30. Part A. As part of promotion, Alexandra discount the college sweatshirts by 25%. If a customer purchases 2 college sweatshirts at a sales tax of 4%, what is the total price for this customer? Show your work or explain your answer. Part B. During a clearance sale, Alexandra discount the Halloween sweatshirts by 55%. What is the percentage of profit Alexandra will make on each Halloween sweatshirt she sales? Show your work or explain your answer. Write an equation to find the amount of simple interest, A, earned on a $600 investment after 1½ years if the interest rate is 2%.
Answer:
Step-by-step explanation:
will y=2 (x-3)²-7 make a parabola or a circle
Answer:
Parabola
Step-by-step explanation:
Answer:
HEY BABY
Step-by-step explanation:
please help me it would help a lot
Answer:
7/80 is the answer because there are 7 possible chances she can get a red or blue gumball.
Step-by-step explanation:
HELP ME PLEASE.
Find the slope of the line parallel to the following line.
Which of those?
y = 2x - 7
-2
1/2
2
-1/2
Answer:
2
Step-by-step explanation:
the slope of the given line is 2
parallel lines have the same slope so the answer is 2
Can someone help me please
Answer:
A = 2x² + x - 45
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = length × breadth , thus
A = (2x - 9)(x + 5) ← expand using FOIL
= 2x² + 10x - 9x - 45 ← collect like terms
= 2x² + x - 45
Write 0,000000357 the following in scientific notation.
Answer:
Step-by-step explanation:
3.57 x 10 ^ - 7 is the correct answer
(HELP I BEG ILL GIVE BRAINLY IF U WANT, ITS MULTIPLE CHOICE)
Answer:
I got 4 for both of them hope this helps
SOMEBODY HELP ME PLEASE
Answer:
90
Step-by-step explanation:
9*6=54
54*5= 270
270/3=90
