Answer:
The quadrilateral is a rectangle[tex]Perimeter=8\sqrt{2} \,\,Unit[/tex][tex]Area=6\,\,sq.unit[/tex]Step-by-step explanation:
Given,
[tex]A=(0,0)\\B=(1,1)\\C=(4,-2)\\D=(3,-3)[/tex]
Now,
[tex]Slope\,\,for\,\,AB=\frac{1-0}{1-0} =1\\\\Slope\,\,for\,\,CD=\frac{-3+2}{3-4} =1\\\\Slope\,\,for\,\,AD=\frac{-3-0}{3-0} =-1\\\\Slope\,\,for\,\,BC=\frac{-2-1}{4-1} =-1\\\\So,AB||CD\,\,and\,\,AD||BC[/tex]
[tex]AB=\sqrt{(1-0)^2+(1-0)^2}=\sqrt{2}\\BC=\sqrt{(4-1)^2+(-2-1)^2}=3\sqrt{2}\\CD=\sqrt{(3-4)^2+(-3+2)^2}=\sqrt{2}\\AD=\sqrt{(3-0)^2+(-3-0)^2}=3\sqrt{2}\\\\So,\,\,AB=CD,AD=BC\\The\,\,quadrilateral\,\,is\,\,a\,\,rectangle[/tex]
[tex]Perimeter=2*(AB+AD)=2*(BC+CD)\\=2*(\sqrt{2}+3\sqrt{2})=8\sqrt{2} \,\,Unit[/tex]
[tex]Area=AB*AD=BC*CD=\sqrt{2} *3\sqrt{2}=6\,\,sq.unit[/tex]
Hope you have understood this.....
ask me if you have any confusion.....
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There are 8 cupcakes on a plate. Five children will share them equally. How many cupcakes will each child receive? Represent the scenario three ways:
With math vocabulary, as an expression, and as a fraction.
Answer:
Each child will receive eight fifths of the cupcakes.
5x=8 ; x represents how many cupcakes each child receives.
[tex]\frac{8}{5}[/tex]
Step-by-step explanation:
There are 8 cupcakes in total.
5 children.
Divide 8 by 5. [tex]\frac{8}{5}[/tex]
I hope this helps!
pls ❤ and mark brainliest pls!
solve the following equations 6÷x=18
[tex]\boxed{\underline{\bf \: ANS WER}}[/tex]
[tex] \sf \frac{6}{x} = 18 \\ [/tex]
Variable x cannot be equal to 0 as division by zero is not defined. Multiply both sides of the equation by x.
[tex] \sf \: 6=18x [/tex]
Swap sides so that all variable terms are on the left-hand side.
[tex] \sf \: 18x=6 [/tex]
Divide both sides by 18.
[tex] \sf \: x=\frac{6}{18} \\ [/tex]
Reduce the fraction [tex] \sf\frac{6}{18}[/tex] to its lowest terms by extracting and cancelling out 6.
[tex] \sf \: x=\frac{1}{3} \\ [/tex]
[tex] \sf \: x=\frac{1}{3}\approx \boxed{\underline{0.33... }}\\ [/tex]
______
Hope it helps.
ᏒᎯᎨᏁᏰᎾᏯᏕᎯᏝᎿ2222
if x=1+3i ,y=x-i find the value of x^2-y^2
Answer:
Step-by-step explanation:
x = 1 + 3i
x^2 = (1 + 3i)(1 + 3i)
f: 1 * 1 = 1o: 1 * 3i = 3ii: 3i * 1 = 31L: = 3i * 3i = 9i^2 = - 9x^2 = 1 + 6i - 9 = -8 + 6i
By a similar method
y = (x - i)
y^2 = x^2 - 2i*x + i^2
y^2 = x^2 - 2ix - 1
y^2 = -8+6i - 2i(1 + 3i) -1
y^2 = -8+6i -2i - 6i - 1
y^2 = -8 - 2i - 1
y^2 = - 9 - 2i
x^2 - y^2 = -8 + 6i - (9 - 2i)
x^2 - y^2 = -8 + 6i - 9 + 2i
x^2 - y^2 = -17 + 8i
Chen rode his skateboard 3 3/4 miles in of 3/4 an hour. What was his average speed in miles per hour?
Answer:
5
Step-by-step explanation:
Dont ask why i think its 5 mph
Complete the pattern 13, 14, 16, 19, 23, ______.
Answer:
28
Step-by-step explanation:
it is increasing by 5 then 6,7,8,9...
Answer:
28
Step-by-step explanation:
Need HElp Agian first person get brainlsit
A solution to a system of equations are where the two lines cross over each other.
System A the graph shows one line which means the two lines are on top of each other. This means any point on the lines are a solution so there are infinite number of solutions.
System B, the lines cross at one point is there is only one solution which is at (-3,2)
System C the two lines are parallel to each other and never cross so there are no solutions.
Step-by-step explanation:
(i) Infinite solution
If there is only one line then it is a infinite solution.
(ii) One solution
Both are intersecting each other.
Solving
-x - 1 = x + 5
-x - x = 5 + 1
-2x = 6
x = 6/-2
x = -3
y = -x + 5
y = -3 + 5
y = 2
(iii) No solution
Because they are parallel to each other
NEED HELP ASAP will give BRAINLIEST :)
Lauren bought snacks for her team's practice. She bought a bag of popcorn for $2.37 and a 6-pack of juice bottles. The total cost before tax was $15.45. How much was each bottle of juice?
Answer:
$2.18
$15.45-$2.37=$13.08
$13.08/6
$2.18
HELP HURRY I WILL GIVE BRAINLIEST
Is 1.304 rational or irrational?
Answer:
Rational numbers are those numbers that are integers and can be expressed in the form of x/y where both numerator and denominator are integers whereas irrational numbers are those numbers which cannot be expressed in a fraction. ... The denominator of a rational number is a natural number(a non-zero number).
Answer:
Rational
Step-by-step explanation:
A rational number can be expressed in the form
[tex]\frac{a}{b}[/tex] ← where a and b are integers
Given
1.304
= 1 + [tex]\frac{304}{1000}[/tex]
= [tex]\frac{1304}{1000}[/tex] ← as a rational number
Exercise 1
4x...X4 =
7 times
The cost of a jacket increased from $50.00 to $59.00. What is the percentage increase of the cost of the jacket?
Answer:
18%
Step-by-step explanation:
I know this because i am a smoot person l o l. Hope this helps!
You have one box that is 1 4/11
feet tall and a second box that is 1.36 feet tall. Write the decimal expansion for
. If you stack the boxes, about how tall will the stack be?
The stacked boxes would be 2.72 feet tall
The height of the stacked box is the sum of the lengths of the two boxes
1 4/11 is a mixed number and it has to be converted to a decimal
A mixed number is a number that has a whole number and a proper fraction.
A proper fraction is a fraction is which the numerator is less than the denominator.
The whole number is 1 and the proper fraction is 4/11
To convert to a decimal, divide the numerator by the denominator. Add this number to the whole number
4/11 = 0.36
1 + 0.36 = 1.36 feet
Height of the stacked boxes = 1.36 + 1.36 = 2.72 feet
To learn more about decimals, please check:
https://brainly.com/question/18657762?referrer=searchResults
Find the value of k. please help
Answer:
k=57
Step-by-step explanation:
-k+15=k-99(vertically opposite angles)
k=57
Opposite angles are equal
[tex]\\ \rm\longmapsto -k+15=k-99[/tex]
[tex]\\ \rm\longmapsto -k-k=-99-15[/tex]
[tex]\\ \rm\longmapsto -2k=-114[/tex]
[tex]\\ \rm\longmapsto 2k=114[/tex]
[tex]\\ \rm\longmapsto k=\dfrac{114}{2}[/tex]
[tex]\\ \rm\longmapsto k=57[/tex]
why is this simplified by combining like terms
3(4x+5) +2
helppppppppppppppppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeee
Answer:
answer is D
Step-by-step explanation:
i promise good luck
Answer:
d
Step-by-step explanation:
change the fractions into improper fractions
then multiply nominators by nominators
then same for denominators
then simplify
Write two equivalent expressions that represent the situation. What is the difference in their elevations?
An airplane flies at an altitude of 26,000 feet. A submarine dives to a depth of 700 feet below sea level.
Evaluate 9ab, for a = 5 and b =
- 7
Answer:
-315
Step-by-step explanation:
Plug in 5 as a and -7 as b into the term:
9ab
9(5)(-7)
Multiply:
= -315
So, the answer is -315.
[tex]\huge\boxed{\textsf{Hey there!}}\\\\\\\huge\boxed{\mathsf{9ab}}\\\huge\boxed{\mathsf{= 9(5)(-7)}}\\\huge\boxed{\mathsf{= 45(-7)}}\\\huge\boxed{\mathsf{= -315}}\\\huge\boxed{\frak{Answer: -315}}\huge\checkmark\\\\\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
In Ellens Math class, there are 2 boys for every 3 girls. if there are 21 girls in the class, how many boys are in the classroom.
Answer:
14 boysStep-by-step explanation:
Given,
There are 3 girls for every 2 boys
So,
For every 1 girl
[tex] = \frac{2}{3} \: boys [/tex]
Therefore,
For every 21 girls,
[tex] = \frac{2}{3} \times 21 \: boys[/tex]
= 14 boys (Ans)
help me please????????
Answer:
c
Step-by-step explanation:
Option c is correct. All points are equally spaced from the line x=1 as their images do. They are symmetric about the line x=1. For instance, point A and A' are both 3 units from the line x=1.
Option a and B are wrong as we cannot see and swapping of x and y coordinates to a point.
For option d, only point A is shifted 6 units to the left to A', but point B shifted 8 units to B'. Incorrect.
A patient is to take 4 2/3 tablespoons of medicine per day in 4 equally divided doses. How much medicine is to be taken in each dose?
Answer:
1 1/6
Step-by-step explanation:
4 2/3 ÷ 4
Convert the mixed number into an improper fraction:
4 2/3 = 14/3
14/3 ÷ 4
14/3 ÷ 4/1
Use cdf (copy dot flip)
14/3 × 1/4
14 × 1 / 3 × 4
14/12
Convert improper fraction into a mixed number:
14/12 = 1 2/12
1 1/6
10. The triangle has a perimeter of 23 feet. Find the value of x.
x ft
(x + 3) ft
3x ft.
Name the figure below in two different ways.
Answer:
Line segment. (That's what I know)
Step-by-step explanation:
There are two points on the ends, so its a line segment. I think thats it
I need help on an assignment.
Answer:
i believe that answer would be D
Step-by-step explanation:
Solve for x: 4x + 1/2 (2x + 4) > 12
( 9th grade Algebra 1)
Answer:
x > 2
Step-by-step explanation:
Distribute and cross-simplify 1/2 with parenthesis
4x + x + 2 > 12
Solve left side
5x + 2 > 12
Subtract 2 from both sides
5x > 10
Divide both sides by 5
x > 2
what are congruent triangles?
Answer:
triangles that have the same size and shape.
Explain how to do order of operations. Use an example
Answer:
First, solve what is in the parentheses of the function. Next, solve the exponents. This includes normal exponents, negative exponents, square roots, cube roots, etc. After that, multiply and divide, and finally, add and subtract the remaining equation.
What is the sum of all positive intergers from √8 to √42
√8 < √9 = 3
and
√42 > √36 = 6
which means the positive integers between √8 and √42 are 3, 4, 5, and 6, and their sum is 18.
Determine which ordered pair is a solution to the following equation x+y=8
Answer:
(8,0)
and infinite number of ordered pairs make the equation
true 4,4 ... 5,3 ... 9,-1 ....
the solution can be said to be the loation where the graph crosses the x axis that point is (8,0)
Step-by-step explanation:
|2x+9|>10=5 Please help ASAP
Simplifying
2x + 9 + -10 = -5
Reorder the terms:
9 + -10 + 2x = -5
Combine like terms: 9 + -10 = -1
-1 + 2x = -5
Solving
-1 + 2x = -5
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 2x = -5 + 1
Combine like terms: -1 + 1 = 0
0 + 2x = -5 + 1
2x = -5 + 1
Combine like terms: -5 + 1 = -4
2x = -4
Divide each side by '2'.
x = -2
Simplifying
x = -2
I hope it helps you
put in order , smallest to largest 0.13 ,0.7 , 0.6
Answer:
0.13, 0.6, 0.7
Step-by-step explanation:
Basically when comparing a decimal from least to greatest look at the tenths place. Whoever's is the smallest, is the smallest decimal. Then you look at the second smallest etc. If two tenths are the same then you would compare the hundredths place so on.