AABC has vertices at A(1, -9), B(8,0), and C(9,-8).
Is AABC an equilateral triangle? Justify your answer.
Answers
Check the picture below.
[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{-9})\qquad B(\stackrel{x_2}{8}~,~\stackrel{y_2}{0}) ~\hfill AB=\sqrt{[ 8- 1]^2 + [ 0- (-9)]^2} \\\\\\ AB=\sqrt{7^2+(0+9)^2}\implies AB=\sqrt{7^2+9^2}\implies \boxed{AB=\sqrt{130}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]B(\stackrel{x_1}{8}~,~\stackrel{y_1}{0})\qquad C(\stackrel{x_2}{9}~,~\stackrel{y_2}{-8}) ~\hfill BC=\sqrt{[ 9- 8]^2 + [ -8- 0]^2} \\\\\\ BC=\sqrt{1^2+(-8)^2}\implies \boxed{BC=\sqrt{65}}[/tex]
now, we could check for the CA distance, however, we already know that AB ≠ BC, so there's no need.
Related Questions
simplify the following expression. (-3b+5)-(8b-3)
Answers
Answer:
-11b+8
Step-by-step explanation:
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{★\:Given\: expression★ }}}[/tex]
(-3b+5)-(8b-3)[tex]\rule{70mm}{2.2pt}[/tex]
★ 1st step
Opening brackets to continue operation by multiply ( - ) sign with (8b-3) which gives u[tex]\sf{➛ - 3b + 5 - 8b + 3}[/tex]
★ 2nd step
Arranging terms[tex]\sf{➛ -3b - 8b + 5 - 3}[/tex]
★ 3rd step
solving the expression which give[tex]\sf{➛ - 11b + 2}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \pink{ \boxed{\underline{ \boxed{ \sf{✠ \: -11b+2 \: ✠}}}}}[/tex]
Hope it helps !
Divide 4,671 divided by8
Answers
Answer:
its: 583.875
Step-by-step explanation:
Please give me brainlist
3. it is the most useful diagra on that will present
The proportion of each Observation in relation to the
Total data set
B pie
pie chart
A line graph
c. bar graph
14 It is the graph that displays the trend or
the behaviour of the data set
A line graph
Copie chart
B. bar graph
Answers
The pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set and a line graph that displays the trend or the behaviour of the data set, called a line graph.
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
As we know, that pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set.
From the definition of the line graph, the graph that displays the trend or the behaviour of the data set, called a line graph.
Thus, the pie chart is the most useful diagram on that will present the proportion of each observation in relation to the total data set and a line graph that displays the trend or the behaviour of the data set, called a line graph.
Learn more about the line chart here:
https://brainly.com/question/23680294
#SPJ1
For the following graph, determine if the graph represents a polynomial function. If it is a polynomial function, then determine the number of turning points and the least degree possible.
a.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three.
b.This is not a polynomial. There are no turning points as the curve represents an odd function.
c.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is two.
d.This is not a polynomial. There are no turning points as the curve is always increasing.
Answers
Using function concepts, it is found that the correct option is given by:
a.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three.
What is the least degree possible of a polynomial?Supposing a polynomial with n turning points, the least possible degree is of n + 1.
In this problem, the polynomial has 2 turning points, hence the least possible degree is of 3 and option a is correct.
More can be learned about functions at https://brainly.com/question/25537936
#SPJ1
A company manufactures glass paperweights in the shape of square base pyramids. The
paperweight is three inches tall and has a base-edge length of two inches. How much glass is
needed to make the paperweight?
Answers
Answer:
12 in3
step by step exlpaination.
I need the answer asap!!!!
Which expression is equivalent to 6x+ 8?
2(3x-4)
2(3x+4)
2(4x+6)
2(3x+8)
Answers
frank gets a pay rise from £120 a week to £135 a week. what fraction of his original pay was his pay rise?
please help! not sure abt this answer...
Answers
Answer:
1/8
Step-by-step explanation:
135 is 15 more than 120
15 is 12.5% of 120
0.125 as a fraction is 1/8
Hope this helped!
Louise spins the spinner twice. which probabilities are correct? check all that apply. p(both green) = one-sixteenth p(both blue) = one-fourth p(first green and then blue) = one-sixth p(first orange and then blue) = one-eighth p(first orange and then green) = one-fourth
Answers
Answer: P(both green)=1/16
P(both blue)=1/4
P(first orange and then blue)=1/8
Step-by-step explanation:
Answer:A, B, and D
Step-by-step explanation:
YYYOOO!!! Anyone!!! Help me, just real quick (quadratic equation factoring)
What is the only solution of 2x2 + 8x = x2 – 16?
And please... Don't be useless
Answers
Answer:
the answer is x=-4
Step-by-step explanation:
Will mark Brainliest!! :)
Students at Green High School and students at Belle High School planned separate field trips to Washington, D.C. Green High School filled three buses (x) and one van (y) with 118 students. Belle High School filled four buses and two vans with 164 students.
The situation above is represented by the following system of equations:
3x + y = 118
4x + 2y = 164
The solution is (36,10)
Explain what the system of equations and the solution both represent.
Answers
Step-by-step explanation:
The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.
for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.
The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.
substituting 36 for x and 10 for y in eq 1;
3(36) + 10 = 108 + 10 = 118 total students for Green High School
substituting 36 for x and 10 for y in eq2;
4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school
The surface area of a sphere is 320 square centimeters. what is the radius of the sphere?
Answers
Answer:
r
≈
5.05cm
r
=
1
2
A
π
A
Surface area
cm²
r
d
Unit Conversion:
A
=
320cm²
Using the formula
A
=
4
π
r
2
Solving for
r
r
=
1
2
A
π
=
1
2
·
320
π
≈
5.04627cm
Step-by-step explanation:
Answer:
the answer is 5.05
Step-by-step explanation:
I hope it helps you
12-1/2(x-3)=1/4(2x+1)-10
Answers
Answer: x=23.25
Step-by-step explanation:
12-1/2(x-3)=1/4(2x+1)-10
4 ×12 -4×1/2(x-3)=4×1/4(2x+1)-10×4
48-2(x-3)=(2x+1)-40
48-2x+6=2x+1-40
48+6+40-1=2x+2x
93=4x
x=23.25
which of the follwing is correxr
Answers
Answer:
the equation has infinitely amny solutions
D
Question 3
1 pts
Which expression is equivalent to sin(200°)?
-Sin 20°
cos 20°
cos 70°
-sin 70°
-
Activate
Answers
Rewrite the angle as a sum or difference with its
reference angle: sin(180° + 20°)
Simplify the expression using the general
reduction formula: sin(20)
Calculate the approximate value: -0.34202
Answer: -0.34202
The diagram shows inner perimeter of a running track.
a. The total length must be 400m. Fund the length of the straight sides.
b. The track has 6 lanes, each 1.5m wide. Find the difference in the length between the outer and inner perimetres.
Answers
Answer:
Complete the sentence.
is 8 times as much as 10.
Step-by-step explanation:
you have to divide it by the length
You have three consecutive even
numbers so that the sum of twice
the smallest number plus three times
the middle number is four times the
largest number. Find the three numbers.
Answers
Harry charges $4 to babysit for the first hour. For each additional hour, he charges
50% more than he did for the previous hour. How much money in total would Harry
earn for 4 hours of babysitting?
Please help me quick i will mark you as brainliest when i get the chance or if possible
Answers
Harry would earn total money equal to $32.50 babysitting.
Since Harry charges 50% more for each additional hour as he did for the previous hour, then
he charges 1.5 or 3/2 times as much as he did for the previous hour.
What is the charge?Term Definition Money charge refers to a special expense entry and allows an administrator to track changes in a project's billing.
Harry charges $4 for the first hour.
Harry then charges
3/2 × $4 = $6 for the second hour.
Harry then charges 3
3/2 × $6 = $9 for the third hour.
Harry then charges 3
3/2 × $9 = $ 27/2 = $13.50 for the fourth hour.
Therefore, for 4 hours of babysitting
Harry would earn $4 + $6 + $9 + $13.50 = $32.50.
To learn more about the charge visit:
https://brainly.com/question/25922783
#SPJ1
What is the Exponential or Logarithmic function?
Answers
Answer:
Uhm..drugs-
Step-by-step explanation:
Classify the polynomial by the number of
terms.
5x2 + 3x – 8
Answers
[tex]\large\textsf{\textbf{Answer\::}}[/tex]
trinomial
[tex]\Large\textsf{\textbf{Calculations\::}}[/tex]
If a polynomial has one term , it's a monomial .
If a polynomial has two terms , it's a binomial .
If a polynomial has three terms , it's a trinomial .
If a polynomial has 4 or more terms , it's a polynomial .
Since the given polynomial has three terms , it's a trinomial .
[tex]\footnotesize\texttt{hope\:helpful~}[/tex]
PLEASE HELP ME AND MY FRIEND NEED THIS QUESTION ANSWERED PLEASE HELP
Answers
Answer:
[tex]V_{cone} =65.94\: cm^3[/tex]
Step-by-step explanation:
Height of cone (h) = 7 cmBase radius (r) = 3 cmFormula for Volume of cone is given as:[tex]V_{cone} = \frac{1}{3}\pi r^2h[/tex]Plugging the values of h and r in the above formula, we find:[tex]V_{cone} = \frac{1}{3}(3.14) (3)^2(7)[/tex][tex]\implies V_{cone} = \frac{1}{\cancel 3}(3.14) (\cancel 9)(7)[/tex][tex]\implies V_{cone} = (3.14) (3)(7)[/tex][tex]\implies V_{cone} =65.94\: cm^3[/tex]In a bag, there are cards numbered from 21 to 30. Let:
Event A be selecting an odd card
Event B be selecting a card greater than 28.
What is the P(A ∪ B)?
A. 0.70
B. 0.50
C. 0.10
D. 0.60
Answers
Answer:
BStep-by-step explanation:
that's the answer correct me if im wrongNeed the answer for this
Answers
Answer:
Just B and C
Step-by-step explanation:
Not A as cost is always increasing with x.
Yes B as is x squared relationship
Yes C as 15*9 = 135
No D as it is a squared relationship so much more than double
Not E as the the cost increases by a different amount for each increase in x.
Pls just give coordinates i will give brainliest
Answers
Answer:
(-2,2) see attached diagram
Step-by-step explanation:
see graph
Find the MEDIAN of the following data set.46,78,56,27,73
Answers
Answer:
56
Step-by-step explanation:
If you do need a step-by-step explanation just comment under here and I'd be happy to show you how I did it :)
I don't know how to solve this please help
Glen Davis is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 74\%74%74, percent of the time.
Answers
Answer: Choice D [tex](1-0.74)^4[/tex]
Reason:
74% = 0.74 represents the probability of him making any given free throw.
This means 1 - 0.74 is the probability of him missing.
Getting four misses in a row has a probability of (1-0.74)^4 which is the same as writing [tex](1-0.74)^4[/tex]
In other words, we multiply exactly four copies of (1-0.74) to get our answer.
A car dealership sold 232 cars in 4 months. At what rate did the dealership sell cars in cars per month?
Answers
Assuming the above parameters are correct, the dealership will sell 3.52 cars per hour on average.
If the dealer is open 7 days a week, then they will sell 4.11 cars per hour.
Answer:
58 cars
Step-by-step explanation:
232 divided by 4 = 58
Which of the following is an example of a theorem?
A. The areas of two congruent figures are equal.
B. The area of a square is the square of the length of its side.
C. The area of a rectangle is the product of its base and height.
D. The area of a region is the sum of all of its non-overlapping parts.
Answers
Answer:
A) The areas of two congruent figures are equal.
Step-by-step explanation:
Solution:
2nd, 3rd, and 4th statements are formulas, not theorems.
Areas of two congruent figures that are equal is a theorem.
Please help!!!!!!!!!!
Answers
Answer:
See below
Step-by-step explanation:
x = the number
-1/6 x < -9 multiply both sides by -6 (this reverses < to > )
x > 54
52. What is the 275th digit after the decimal point in the
repeating decimal 0.6295 ?
F. 0
G. 2
H. 5
J. 6
K. 9
Answers
Hope you have a nice day
The [tex]275th[/tex] digit after the decimal point in the repeating decimal [tex]0.6295[/tex] will be [tex]9.[/tex]
What is decimal?Decimal is one of the types of numbers, which has a whole number and the fractional part is separated by a decimal point.
It is given that [tex]0.6295[/tex] is a repeating decimal.
i.e. [tex]0.6295[/tex] repeats after [tex]4th[/tex] digit,
So, divide [tex]275[/tex] by [tex]4[/tex],
We get,
[tex]=\frac{275}{4}[/tex]
We get, [tex]68[/tex] and [tex]3[/tex] as remainder.
So, the [tex]275th[/tex] number after the decimal point will be [tex]3rd[/tex] digit in [tex]0.6295[/tex] after decimal.
i.e. [tex]275th[/tex] number will be [tex]9[/tex].
Hence, we can say that the [tex]275th[/tex] digit after the decimal point in the repeating decimal [tex]0.6295[/tex] will be [tex]9.[/tex]
To know more about Decimal click here
https://brainly.com/question/548650
#SPJ2
The area of a
rectangle is 105 square centimeters. The
width of the rectangle is 7 centimeters.
What is the perimeter of the rectangle?
Answers
area=l×w
l=area/w
l=105/5
l=15
perimater=l+w
perimater=15+7
perimeter=22
