Given:
The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).
To find:
The fourth vertex of the parallelogram.
Solution:
Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).
We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Two diagonals of ABCD are AC and BD.
Midpoint of AC = Midpoint of BD
[tex]\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]
[tex]\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{4+a}{2}=\dfrac{-1}{2}[/tex]
[tex]4+a=-1[/tex]
[tex]a=-1-4[/tex]
[tex]a=-5[/tex]
And,
[tex]\dfrac{5+b}{2}=\dfrac{3}{2}[/tex]
[tex]5+b=3[/tex]
[tex]b=3-5[/tex]
[tex]b=-2[/tex]
Therefore, the coordinates of fourth vertex are (-5,-2).
You have a new puppy that is one fifth of the size of your older dog.if your older dog wieghts 25 2/5 pounds how much does your puppy weigh? PLZZZZ HELPPP
Quick what’s the answer whoever gives correct answer gets brainliest
Please help i will give brainly FIRST PERSON TO GET IT RIGHT EVERY TIME I POST A QUESTION YOU WILL ALWAYS GET BRAINLY
Answer:
1) Lowest temperature = -5.5 (Wednesday)
2) a. -62 is less than (colder than) -55 so the average temperature on Mars is warmer.
b. -62 < -55
3) No. -14 means that the number is 14 less than zero. -21 means that the number is 21 less than zero. Also, if you plot these numbers on a number line, -21 will be further to the left than -14. The further to the left a number is, the less it is. So, -21 is less than -14 and Anchorage is colder than Minneapolis.
HELP PLEASEEEEEEEEEE
Answer:
3
2,-8
Step-by-step explanation:
this should be the two answers
Which is the best estimate of the difference between 6 7 8 678 and 2 1 8 218
Answer: C.5
Step-by-step explanation:
Can someone please help me with this
Answer:
x= 6
Step-by-step explanation:
since both sides equal the same amount..
5x-7=3x+5
you plug it in through a calculator or work it out. if you dont know how to work it out, try the app photomath, it shows you solving steps :))
math work pls help :)
Answer:
a. SSS
Step-by-step explanation:
These angles can be proven through SSS, which stands for side, side, side. This is used when all three sides of a triangle are proven congruent to its corresponding side on another triangle. In this case, the tick marks on the triangle prove that each side of the triangle is congruent to another on the other triangle. Remember, that if two lines have the same number of ticks then they are congruent.
Beth has $105 in her bank account. She buys x shirts for $5.75 each. Write and solve an equation Beth can use to find how many shirts she can buy with the money in her account. 5 points Your answer
HELP
transform standard form linear equations into slope-intercept form 2x + 6y = 12
Leslie purchased a new bar of soap. Three days after she originally used
the soap, she was curious how much soap per day she was using. She
decide to weigh her soap and that the bar was 103 grams. Four day later
she re-measured the same bar of sop and record a weight of 80 grams.
Assuming that Leslie uses the same amount of soap daily (and that she
used soap daily), write an equation that shows that amount of soap
remaining after d days of use. *Hint: slope intercept form and you will
need the slope formula
Answer:
The equation is:
y= 103 --23d
Step-by-step explanation:
The initial amount was 103 grams.
After one day of use the remaining amount of soap was 80 grams.
So the amount of time he spent in one day was:
Each day Leslie spends 23 grams of soap.
if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:
y= 103 --23d
Evaluate! answer asap
[tex]\huge\text{Hey\ there!}[/tex]
[tex]\text{If k = 3, then SUBSTITUTE it for the K-VALUE}[/tex]
[tex]\bold{4k + 15}\\\bold{4(3)+15}\\\bold{4(3)=12}\\\bold{15=15}\\\bold{12+15=27}\\\boxed{\boxed{\bold{Answer: 27}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Trent read a total of 45 books over 15 months. After belonging to the book club for 16 months, how many books will Trent have read in all? Assume the relationship is directly proportional.
Answer:
18
Step-by-step explanation:
45/15= 3 books per month
j add 3 to 15 for the next month
or
3*16=18
please mark brainliest, i need it for a new rank
Uhhh....I dont understand Plz Help TwT
CO 5
What is the value of tan(60°)?
A
O
12
30°
3
B
60°
6
Answer:
√3
Step-by-step explanation:
Find (f*g)(x) f(n)=2n; g(n)= -n-4
-15
14
13
-12
-11
-10
9
-8
-7
6
-5
4
3
2.
0
1
2
2
3
4
ОЛ-
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Cubed-shaped boxes of candy are shipped in larger boxes. The larger boxes are six feet long, one foot wide, and two feet high. How many one cubic foot boxes of candy will the large box hold? Describe how you will solve the problem. Type in your answer.
Answer:
12
Step-by-step explanation:
The boxes of candy have a volume of 1 cubic foot.
We need to find the volume of the large shipping box in cubic feet, to see how many of the boxes of candy will fit inside.
The shipping box has the shape of a rectangular prism.
volume = length * width * height
volume = 6 ft * 1 ft * 2 ft
volume = 12 cubic ft
The shipping box has a volume of 12 cubic feet.
Since each box of candy has a volume of 1 cubic foot, we noww divide the volumes.
(12 cubic feet)/(1 cubic foot) = 12
Answer: 12
∣x∣=−5
find an absoulute value
Answer:
5
Step-by-step explanatio
Sam needs 7 1/2 cups of orange juice to make punch for a group of her friends. She only has 5 1/3 cups. Write and solve an equation to represent how many more cups of orange juice Sam needs
Answer:
Equation is [tex]x+\frac{16}{3}=\frac{15}{2}[/tex] where [tex]x[/tex] denotes number of cups of orange juice needed by Sam.
[tex]x=\frac{13}{6}[/tex]
Step-by-step explanation:
Let [tex]x[/tex] denotes number of cups of orange juice needed by Sam.
Number of cups needed to make punch [tex]=7\frac{1}{2} =\frac{15}{2}[/tex]
Number of cups with Sam [tex]=5\frac{1}{3}=\frac{16}{3}[/tex]
Therefore,
[tex]x+\frac{16}{3}=\frac{15}{2}\\\\x= \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}[/tex]
As an estimation we are told £3 is €4.
Convert £36 to euros.
Answer:
€48
Step-by-step explanation:
Given data
We are told that £3 is equivalent to €4.
Our aim is to convert £36 to euros
Therefore, if £3 is equivalent to €4.
Then £36 is equivalent to x
Cross multiply we have
36*4=3x
144=3x
Divide both sides by 3
144/3= €48
Hence it will be equal to €48
Side: Beans
Price: $1.50
Your cost to make this side just became
cheaper. As a result, you are going to
decrease the price by $0.25 What is
the percent of change ?
This line segment will be dilated with the point of dilation at (4,1) and scale factor of 2. What is the x-coordinate of one of the the end point of the dilated segment
Answer:
8Step-by-step explanation:
If a coordinate point (x, y) is dilated by a factor k, then the resulting coordinate will be (kx, ky)
Given the coordinate (4,1), if this coordinate is dilated by a factor of 2 then the new coordinate points will be at (2(4), 2(1))
New point = (8, 2)
Hence x-coordinate of one of the the end point of the dilated segment is 8
please help me this is due in a few minutes
Answer:
Volume of one Bugle => 462.8 mm³
Volume of 18 Bugles => 8,330.4 mm³
Volume formula for a cone => ⅓πr²h
Step-by-step explanation:
Volume of one bugle = volume of cone (V) = ⅓πr²h
Where,
r = 5.1 mm
h = 17 mm
Volume of one Bugle = ⅓*π*5.1²*17 = 462.8 mm³
Volume of 18 Bugles = 462.8 × 18 = 8,330.4 mm³
PLEASE HELP MY ASSIGNMENT IS LATE
A circular oil spill has a radius of 2 miles. After a day, the radius of the oil spill increases by 3 miles. By how many square miles does the area of the oil spill increase? Round to the nearest thousandth, if necessary.
Answer:
65.974 Square-miles
Step-by-step explanation:
We do 3.14*2^2=12.566
We then do 3.14*5^2=78.54
78.54-12.566=65.974
The change in the area of the circular oil spill is given by the equation
A = 65.973 miles²
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the change in area of circular oil spill be A
Now , the equation will be
The initial radius of the circular oil spill r = 2 miles
The increased radius of the circular oil spill R = r + 3
R = 5 miles
Now , the initial area of the circular oil spill = πr²
Substituting the values in the equation , we get
The initial area of the circular oil spill = 4π miles²
Now ,
The increased area of the circular oil spill = πR²
Substituting the values in the equation , we get
The increased area of the circular oil spill = 25π miles²
And , change in area of circular oil spill A = 25π miles² - 4π miles²
On simplifying the equation , we get
The change in area of circular oil spill A = 21π miles²
The change in area of circular oil spill A = 65.973 miles²
Therefore , the value of A is 65.973 miles²
Hence , the change in circular area is 65.973 miles²
To learn more about circle click :
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26 beats in 1/6 minutes equals
Please help !
Answer:
156 beats per minute?
Step-by-step explanation:
26 * 6 = 156
Help me help me help me
Answer:
the answer is ____
Step-by-step explanation:
first study more
then clean that computer
and then dont ask on here okau
9 = - 5b - 23 write your answer as a decimal
9=-5b-23
9+23=-5b
32=-5b
32/-5=b. ..(here 32/-5= 32 upon -5)
-6.4=b
The required simplified value of b for the given expression is b = -2.8.
GIven that,
To determine the simplified value of b for the expression 9 = - 5b - 23.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
the given expression,
9 = - 5b - 23
Simplifying,
-5b = 23 - 9
-5b = 14
b = -14 / 5
b = -2.8
Thus, the required simplified value of b for the given expression is b = -2.8.
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Problem 1= Find the value of each variable.
Answer:
both "h" are 90 °
both "2h" are 22.5 °
a quadrangle=360°, divide that by 4 to get the "h's" then divide 90 by 4 because "2h+2h"=4h which that equals 22.5
Step-by-step explanation:
hope this helps :D
An athlete goes to the gym and runs on the treadmill, burning 300 calories. The athlete then lifts weights for x amount of hours, burning 50 calories per hour. Which equation represents the total (T) calories the athlete will burn
Answer:
T = 300 + 50x
Step-by-step explanation:
Tread mill calories burned = 300 calories
Weight lifting hours = x
Calories burned per hour during weight lifting = 50
Total calories burned :
Teadmill calories + weight lifting hours * calories burned per hour
T = 300 + 50x
HELP PLEASE THIS IS EASY MATH BUT I LITERALLY DONT UNDERSTAND IT
Answer:
salim go the best deal sorry if i am wrong
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation: