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).
The data above can be modeled by the function f(x) = 0.0425x^2 + 0.07381x - 0.49107 . Using this equation, predict the skid distance for a car that is driving 50 mph.
Answer:
f(50) = 109.44943 feet
Step-by-step explanation:
Modeling
The model of a situation where the skid distance f is measured against the car speed x can be expressed as:
[tex]f(x) = 0.0425x^2 + 0.07381x - 0.49107[/tex]
Using this equation, we can predict the skid distance for a car that is driving at x=50 mph by substituting in the equation of the model:
[tex]f(50) = 0.0425*50^2 + 0.07381*50 - 0.49107[/tex]
[tex]f(50) = 106.25 + 3.6905 - 0.49107[/tex]
f(50) = 109.44943 feet
ILL GIVE U BRAINLYIST
Answer: the answer is circle
Step-by-step explanation: hope that helped
The diameter of a circle is 7 m. Find the circumference to the nearest tenth
Answer:
22 m
Step-by-step explanation:
Diameter d = 7 m
Circumference of the circle C =?
[tex]C = \pi d = 3.14 \times 7 \\ \\ C= 21.98 \: m\\ \\ C \approx 22.0 \: m[/tex]
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches a width of 3 inches and a height of 3 1/2
Answer:
94.5
Step-by-step explanation:
3x3.5x9=94.5
Hope this helps :)
Also please mark as branliest
what is the factored form of -40+2×^2-2x
Answer:
2(x - 5)(x + 4)
Step-by-step explanation:
Given
- 40 + 2x² - 2x , that is
2x² - 2x - 40 ← factor out 2 from each term
= 2(x² - x - 20) ← factorise the quadratic
Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 1)
The factors are - 5 and + 4 , since
- 5 × 4 = - 20 and - 5 + 4 = - 1 , then
x² - x - 20 = (x - 5)(x + 4) and
2x² - 2x - 40 = 2(x - 5)(x + 4) ← in factored form
What is the surface area, in square inches, of a prism with a length of 10 inches, a width of 7 inches, and a height of 3 inches?
Answer:
measurement square meter
Step-by-step explanation:
thats good answer
sana po makatulong po sa inyo
po....................
10 Factorise completely
a 6x2 + 18x
b 8y3 – 2y4
c 16xy – 8xy?
8 Expand and simplify
a 4(x + 3) + 7(x - 1)
b x(x – 6) – x(4x – 2)
C x(3x2 + 4) + 2x(5x2 + 9)
how do u do this and what's the answers?plsss helpp
Step-by-step explanation:
Factorise completely
a 6x2 + 18x
Common factors
6x(x+3)
b 8y3 – 2y4
2y^3(4-y)
c 16xy – 8xy?
8xy(2-1)
8xy
8 Expand and simplify
a 4(x + 3) + 7(x - 1)
4x+12+7x-7
11x+5
b x(x – 6) – x(4x – 2)
x^2-6x-4x^2+2x
-3x^2-4x
-x(3x+4)
C x(3x2 + 4) + 2x(5x2 + 9)
3x^3+4x+10x^3+18x
13x^3+22x
x(13^2+22)
True or False. The vocabulary words expected value and mean are interchangeable.
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram,
A
В
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Answer:Hope this helps!
Step-by-step explanation:
PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
PLSSSS SHOWWW THE WORKKK!!!!
Answer:
no hablo inglés xd no te puedo ayudar
Answer:
y^4/x^2
Step-by-step explanation:
i wish i could show the work but tbh i just use the link i comment under
Its helpful
Solve for distributive property
-10( x + 9 )
Answer: -10x - 90
Step-by-step explanation:
Answer:
the third one
Step-by-step explanation:
-10( x + 9 )
-10x - 90
Plz help now
We toss a die 4 times. among all possible outcomes how many have at least one occurrence of 1?
Answer:
4/24
Step-by-step explanation:
Which of the following best describes interest as it relates to credit?
A. Additional money earned for having an account
B. The limit for which an individual may use credit
C. The charge for the privilege of borrowing money
D. The total amount a borrower must repay a lender for a loan
Answer:
C
Step-by-step explanation:
Let's say you wanted to buy a television. The television cost $200 but you only have $100, so you ask your friend for some money. Your friend says they will give you money but you have to pay them back and pay them interest. So when you go pay them, you pay them $100 dollars along with the amount of money your friend wants you to pay them for borrowing their money. In the end you could end up giving them 120 instead of 100.
C. The charge for the privilege of borrowing money
Hope this helps you and you past your test good luck too you.
Can somebody please hellllp me with thissssss!!! please
Answer:
A
Step-by-step explanation:
Answer:
59 m
Step-by-step explanation:
16 + 15 + 13 + 15 = 59
What will be the cost of the paving if cement costs $26.50 per square metre?
Answer: $2203.74
Step-by-step explanation:
x/3=12; Is 4 a possible value for x?
Answer:
No.
Step-by-step explanation:
4 x 3 is 12. 4 divided by 3 cannot be 12.
Hope it helps!
Answer:
No
Step-by-step explanation:
Not possible
A walkway goes through the middle of a square playground from one corner to the opposite corner. If the walkway is 20 meters long, how long are each of the sides of the playground? Round your answer to the nearest hundredths.
Need Help!
please explain i really don’t understand
Answer:
22.5°
Step-by-step explanation:
First we need to figure out the size of the interior angles on the inside.
The formula of figuring out the total degrees of all the interior angles of any shape is (n-2)×180°.
N is the number of sides.
If we substitute our number of sides (8) we get this:
(8-2)×180°
6×180° = 1080°
Then we divide 1080 by 8 since this is a regular octagon (all angles are equal in a regular shape).
1080° ÷ 8 = 135°
Focusing on the triangle now, we now know that the angle on the tip of the triangle is 135° as it has not been split by the line.
Using the rule of angles in a triangle add up to 180°. We do this sum:
180° - 135° = 45°
There are 2 angles left in the triangle so we do:
45° ÷ 2 = 22.5°
Therefore the angle of x is 22.5°.
Which combinations hold the same amount of liquid as a 14-cup jug?
Answer:
b
Step-by-step explanation:
hbjbmnbbbbbbbbbbbbbbbbbbbbbbbbbbbbhbbbbbbbbbbbbbbb
In a fish tank there are 10 fish. 5 are goldfish, 1 is an angelfish, and 4 are guppies. If a fish is selected at random, find the probability of getting a guppy or an angelfish.
Answer:
40% guppy 10% angel
Step-by-step explanation:
9 hundred = how many 10's
Answer:
90
Step-by-step explanation:
900 is 90 tens
Check
900/10 = 90
or....
90 * 10 = 900
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Read the power and then check all that apply.
34 = 3 × 3 × 3 × 3
A power is a shorter way to write repeated multiplication.
The base is 3.
The base is 4.
The exponent is 3.
The exponent is 4.
The exponent tells you to multiply the 3 together 4 times.
The exponent tells you to multiply the 4 together 3 times.
Answer:
The answer is A,B,E, and F
Step-by-step explanation:
(3x + 4) + (5x - 6) add or subtract horizontally
Answer:
[tex](3x+4)(5x−6)\\ 3x+4+5x−6\\\\3x+4+5x−6 \\3x−2+5x\\\\3x−2+5x\\8x−2\\\\8x−2[/tex]
Step-by-step explanation: all the a's are minuses
In 2010, the population of a city was 168,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 5%. To the nearest 100 people, what was the population in 2020?
Answer:
172000
Step-by-step explanation:
Population growth from 2010 to 2015 if population increased by 8% =
1.08 x 168,000. = 181440
Population growth from 2015 to 2020 if population decreased by 5% =
0.95 x 181440 = 172,368
Rounding off to the nearest 100 people = 172,000
The population in the year 2020 is 172,368.
Calculation of the population in 2020:Since
In 2010, the population of a city was 168,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 5%.
So,
[tex]= 168000 \times 1.08 \times 0.95[/tex]
= 172,368
hence, The population in the year 2020 is 172,368.
Learn more about population here: https://brainly.com/question/13977748
What is the function rule for this table? 10 POINTS! BRAINLIEST to correct answer!
In this linear equation what is the dependent variable y=2x+4
Answer: y
Step-by-step explanation:
The value of y is dependent on the x value. The x value can be anything you choose and is therefore independent of y.
Name the property of addition modeled here. If a = b, then a + c = b + c. A. Addition Property of Equality B. Commutative Property of Addition C. Associative Property of Addition D. None of the above I think it is either B or C
Answer: I'm pretty sure it's B
Step-by-step explanation:
Answer:
Do you still need an answer? If so, B!
Step-by-step explanation:
Just by looking at the equation you can see the addition symbols. Since there are also letters, you can use that information to help you solve the answer using the key word: Commutative.
For Example: If Lily needs $40 and she already has $30 how many more dollars does she need?
Answer: m-$30=$40 m=$10
Simplify the expression:
-10(32-6)
—————
3
Answer: -260
Step-by-step explanation:
Answer:
-260
Step-by-step explanation:
First, we have to distribute -10 to 32 and -6, since 32 - 6 is in parentheses.
So, the expression becomes -320 + 60, because -10 × 32 = -320 and -10 × -6 = 60.
So, -320 + 60 = -260
what is 1.22+0.34 pls guys
Step-by-step explanation:
1.22+0.34
= 1.56
Hope it will help :)
Answer:
= 1.56
Step-by-step explanation:
1.22 + 0.34 = ?
00.2 + 0.04 = 0.06
0.2 + 0.3 = 0.5
1 + 0 = 1
1 + 0.5 + 0.06 = 1.56
Miss Hillard is purchasing candy hearts to distribute to 28 students in her math class and Valentine's Day issue would like each students get a minimum of 15 candy hearts how many will she need to purchase
Answer:
She needs to buy 420 candy hearts.
Step-by-step explanation:
15*28 = 420
15 per student, and there is 28 students
The number of candy hearts that she needs to purchase will be 420.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Miss Hillard is buying treats hearts to disperse to 28 understudies in her number-related class and Valentine's Day issue would like every understudy to get at least 15 sweets hearts.
Then the number of candy hearts that she needs to purchase will be given as,
⇒ 15 x 28
⇒ 420
The number of candy hearts that she needs to purchase will be 420.
More about the Algebra link is given below.
https://brainly.com/question/953809
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