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 product of the polynomials? (3x-2)(12x+7)
Answer:
36x²-3x-14
Step-by-step explanation:
(3x-2)(12x+7)
36x²+21x-24x-14
36x²-3x-14
Please help! you will get 'Brainliest' if you do.
Answer:
D is correct, based on my understanding
Step-by-step explanation:
0.73 recurring can be writeen as 11/15
Answer:
yes , see explanation
Step-by-step explanation:
We require 2 equations with the recurring 3 placed after the decimal point.
let x = 0.7333.. ( multiply both sides by 10 and 100 )
10x = 7.333... → (1)
100x = 73.333.... → (2)
Subtract (1) from (2) , eliminating the recurring 3
90x = 66 ( divide both sides by 90 )
x = [tex]\frac{66}{90}[/tex] = [tex]\frac{11}{15}[/tex]
The first four terms of an arithmetic sequence are shown below.
1, 5, 9, 13,......
(a) Write down the nth term of the sequence (general formula).
(b) Calculate the 100th term of the sequence.
(c) Find the sum of the first 100 terms of the sequence.
Answer:
a) n = 4(n-1)+1
b) 397
c) 19900
Step-by-step explanation:
Which equation does not represent a linear function
Answer:
D should be the one that DOES NOT represent a linear function
URGENT 100 POINTS (all fake answers will be removed and i will take the points back)
Quadrilateral ABCD is inscribed in circle O.
What is m∠A ?
Answer:
42 degrees (check attachements) hope it helps!
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary. We use that information and angles B and D to find the value of x. Then we use the value of x to find the measure of angle A.
m<B + m<D = 180
2x + 3x - 5 = 180
5x = 185
x = 37
m<A = x + 5
m<A = 37 + 5
m<A = 42
solve for x. please please i need help help me please
Grade For This Paper
U
Submit Answer
49/
Grade For This Exam Series
U
4
6.
4
Here are the first 4 terms of a sequence.
3 11 19 27
a) (i) Write down the next term in the sequence.
(1)
(ii) Explain how you got your answer.
(1)
b) Work out the 10th term of the sequence.
(1)
Total marks: 3
G
L
S
SIN
А о
8:29
Answer:
that is b
Step-by-step explanation:
A robot vacuum advertises that it can clean a 120-square-foot room in 1/2 an hour. How many square feet could the robot vacuum clean in 1 hour?
Answer: 240 square foot room
Step-by-step explanation: They ask for how many square feet in 1 hour which is double the 1/2 hour. So, just do 120x2=240 to get your answer! (Don’t forget to label ,square-feet,)
Similar Triangles? (yes or no)
by which criteria? (AA- SAS-, SSS- or not enough info)
Answer:
Yes but not in size and not enough info
Step-by-step explanation:
Hope it helps
Please brainliest
Rewrite the expression by combining like terms. 3y + 5x2 + 10x + 2x2 + 15x – 3y
Answer:
7x²+ 25x
Step-by-step explanation:
whoever gets this corrects gets brainliest!!!
Answer:
d
Step-by-step explanation:
the submarine is below water so that's considered a negative and the number in the equation is negative 3. and if you keep multiplying a positive by a negative the number stays negative and thats the submarine getting deeper and deeper into the ocean if that makes sense.
HELP ASAP!!!!! 25 POINTS + BRAINLIEST!!!!
(if it is not a ligament answer, i will report)
Answer:
2 x 3(x + 4) + 2 x 7(x + 2) = 20x + 52
Step-by-step explanation:
2 x 3(x + 4) + 2 x 7(x + 2) = 6x + 24 + 14x + 28 = 20x + 52
What is the volume, in cubic feet, of a rectangular prism with a height of 5 feet, aho
width of 20 feet, and a length of 5 feet?
Answer:
500 cubic feet
Step-by-step explanation:
5 * 20 * 5 = 500 cubic feet
please help with this problem
Answer:
9
Step-by-step explanation:
constant of proportionality in this problem is the cost per pant
can someone help me with this
Answer:
29
Step-by-step explanation:
Answer:
Step-by-step explanation:
N is the incenter of △ABC because it is the point of concurrency of the three angle bisectors. So, by the Incenter Theorem, ND = NE = NF.
im sorry if wrong
plz mark me brainly
PLEASE HELP
I WILL MARK BRAINLIEST
Answer:
False
Step-by-step explanation:
They don't look alike
weight of sheep,in pounds, at the Southdown sheep farm:
what is the range of weights of the sheep?
plz anwser asap I'm being timed
Answer: 170
Step-by-step explanation:
275-105
i-Ready
Ron is paid $1,500 every month plus an additional $100 bonus for every tractor he sells, 2. Which equation represents the total amount of money, y, Ron makes each
month?
PLEASE ANSWER ASAP!
Answer: y= 100x +1500
Step-by-step explanation:
The 1500 value never changes, so it doesn’t need a variable
The 100 value will change based on how many he sells, so it needs a variable
Answer:
its the first one.
Step-by-step explanation:
the 1500 stays the same so it would be 100×how ever many tractors so 100z+1500
Evaluate the following: 77 - |( -8)(3) + (-10)(4)|
Answer:
13
Step-by-step explanation:
77−|(−8)(3)+(−10)(4)|
=77−|−24+(−10)(4)|
=77−|−24+−40|
=77−|−64|
=77−64
=13
Hope this helps
please helpppppppppp
Answer:
x=20 y=34
Step-by-step explanation:
x+14=2x-6
x=20
(20)+14=y
y=34
What does the 49 days until Fourth of July there are seven days in a week and how many weeks will it be Fourth of July
Answer:
It will be Fourth of July in 7 weeks.
Step-by-step explanation:
Since you know that there are seven days in a week, you can use a rule of three to find the amount of weeks in 49 days that is the number of days until Fourth of July:
7 days → 1 week
49 days → x
x=(49*1)/7
x=7
According to this, the answer is that it will be Fourth of July in 7 weeks.
tell whether a triangle can have the given angle measures:
51°, 92°, 48°
Answer:
no
Step-by-step explanation:
since the sum of the angles is 197°
it cannot have the given angle measures
Answer:
No
Step-by-step explanation:
The angles of a triangle should sum up to 180.
But the is 191°
GIVING BRAINLIEST!!!!!
What type of triangle is shown in the image?
Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle
Answer:
Well wheres the image?
Step-by-step explanation:
Answer:
Obtuse triangle
Step-by-step explanation:
Someone said so
I need help on this one please
Answer:
C
Step-by-step explanation:
HELP NEEDED PLEASE!!!! This math question confuses me. I thought the line didn't pass through any other point but I cant figure it out so please help me!
Answer:
B
Step-by-step explanation:
So wiggly, remember that slope is change in y/change in x, or in simpler terms, y/x. Thinking of this, y/x must simplyfy to -3. Or, you can think of it as -3/1.
So know that we have rewrote this as a slope of -3/1, lets use it. Where do we start? Well, we must start at point A, which is at 2 x and 7 y.
Now, going to the RIGHT(+1x) and going DOWN(-3y) we will go from 2x and 7y to 3x and 4y.
Are we on a point yet? Nope, lets do this again.
Now going to RIGHT again(+1x) and going DOWN again(-3y) we will go from 13x and 4y to 4x and 1y.
Are we on a point yet? Still no, lets try this one more time.
Now going to RIGHT again(+1x) and going DOWN again(-3y) we will go from 4x and 1y to 5x and -2y.
Are we on a point? YUP. We cna see that point B is at 5x and -2y.
Hope you get it right ;)
A population of 1,996 unicorns is going extinct at a rate of about 24 unicorns per year. A separate population of 1,229 dragons is going extinct at a rate of about 11 dragons per year. After how many years will the two populations be equal?
Answer:
https://youtu.be/QZ_a8VXhiSc
Step-by-step explanation:
https://youtu.be/BX0K5IfPMOA
PLZ HELP DUE TODAY THE ANSWER CHOICES ARE
A.315
B.84
C.273
D.231
No links I will report forgot to put the picture last time plzzz
Marcus receives an inheritance of $3,000. He decides to invest this money in a 11 -year certificate of deposit (CD) that pays 5.0 % interest compounded monthly. How much money will Marcus receive when he redeems the CD at the end of the 11 years?
Marcus will receive $5,193.82 when he redeems the CD at the end of the 11 years.
What is compound interest?Compound interest is computed as interest on the principle of an account plus any accrued interest.
Compound interest can be calculated using the following formula:
A=P(1+r/n[tex])^{nt}[/tex]
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Marcus receives an inheritance of $3,000.
He decides to invest this money in an 11 -year certificate of deposit (CD) that pays 5.0 % interest compounded monthly.
P = $3,000
r =5%
t = 11 years
A=P(1+r/n[tex])^{nt}[/tex]
Substitute the values of P, r and t in the formula,
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A=P(1+r/n[tex])^{nt}[/tex]
A = 3,000.00(1 + 0.05/12[tex])^{(12)(11)}[/tex]
A = 3,000.00(1 + 0.0041666666666667[tex])^{132}[/tex]
A = $5,193.82
Therefore, Marcus will receive $5,193.82.
To learn more about the compound interest rate;
brainly.com/question/13307568
#SPJ5
A graph of a system of two equations is shown.
What is the solution of the system? HELP!!!!!
Answer:
can you just mark me brainleyest.
Step-by-step explanation:
