Answer:
F(3,3)
Step-by-step explanation:
The coordinate of F is (3, 3).
GivenThree vertices of parallelogram DEFG are D(0, 2), E(-1, 5), and G (4, 0).
What is the formula to find the midpoints?Diagonals of a parallelogram bisect each other, meaning they divide each other into equal parts.
The formula is used to find the midpoints are as follows;
[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}[/tex]
Let (x, y) = coordinates of vertex F.
DF and EG are diagonals of parallelogram DEFG, therefore:
The midpoint of DF = midpoint of EG
Then,
The midpoint of D(0, 2) and F(x, y) is;
[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\dfrac{0+x}{2}, \ \dfrac{2+y}{2}[/tex]
The midpoint of E(-1, 5) and G(4, 0) is;
[tex]\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\rm \dfrac{-1+4}{2} , \ \dfrac{5+0}{2}\\\\\dfrac{3}{2}, \dfrac{5}{2}[/tex]
Comparing the equation;
[tex]\rm \dfrac{0+x}{2} = \dfrac{3}{2}\\\\\dfrac{x}{2} = \dfrac{3}{2}\\\\x=3[/tex]
[tex]\rm \dfrac{2+y}{2} =\dfrac{5}{2}\\\\2+y =5\\\\y = 5-2\\\\y =3[/tex]
Hence, the coordinate of F is (3, 3).
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Joanna is 152cm tall .Kristal is 8cm shorter what is the sum of heights.
Answer:
296 cm
Step-by-step explanation:
Joanna is 152cm tall
Kristal is 152 - 8 = 144 cm
The sum of the heights is
152 + 144 =296 cm
PLEASE HELP!!!
The temperature in Country Y is at least 7 degrees colder than in Country X. Write an Inequality and graph it.
Solution:
Let temperature in Country Y be
y
and temperature in Country X be
.
"Temperature in Country Y is is at least 7 degrees colder than in Country X."
At least tells us that the inequality sign is
>=
and that the difference in temperature is at least 7
x-y>=7
x>=7+y
x-7>=y
y =7
in your own words.
2. What are the basic steps to be followed in graphing a two-variable linear inequality?
3. In the solution graph, why is the line
y =7
?
How can you find if a point is a solution to inequality?
Answer:
1)x-y>7
x>7+y
x-7=y
y =7
If it has to be at least 7 then 7 is less than all of them or equal to it.
2) Step 1: Always start by isolating the variable y on the left side of the inequality.
Step 2: Change the inequality to equality symbol. ...
Step 3: Graph the boundary line from step 2 in the X Y − XY- XY−plane. ...
Step 4: The last step is to shade one side or region of the boundary line.
3) The solution graph is y=7 because there is no possible x or x=0
you can find a point in an inequality in the shaded region of the graph. Any of the points in the shaded region work as a solution of the inequality
Hope I helped!!
3 (5р — 3) = 5 (p — 1)
Help me guys plsss!!!!!
Answer:
I have no idea
Step-by-step explanation:
Help me with this please!!!
Answer:
They all have 180 degrees
Step-by-step explanation:
lisa sets a weekly goal of jogging 18 miles. after 3 days she has jogged 6 5/8 miles. How many more miles must she jog to reach her goal ?
choices:
11 5/8
12 3/8
11 3/8
12 5/8
PLEASSE HELP BFKDEK
Answer: 11 3/8
18 - 6 5/8 = 11 3/8
solve the following system of equations y=2x+10. y=3x+12
Answer:
1. Slope: 2 y-intercept: (0,−10)
2. Slope: 3 y-intercept: (0,12)
Step-by-step explanation:
Choose the number that is 5 more than a square number.
21
34
35
65
76
Answer:
21
Step-by-step explanation:
this requires practical assumption.
take 9 for example
5 more than 9 means 9 - 5 = 4
4 is a square number
21 = 21 - 5 = 16
16 is a square number
34 = 34 - 5 = 29
29 is not a square number
35 = 35 - 5 = 30
30 is not a square number
65 = 65 - 5 = 60
60 is not a square number
76 = 76 - 5 = 71
71 is not a square number
4х – Зу = 34
3х + 2y = 17
someone please help me and fast if you can:(
A rectangular poster is to contain 578 square inches of print. The margins at the top and bottom of the poster are to be 2 inches, and the margins on the left and right are to be 1 inch. What should the dimensions of the poster be so that the least amount of poster is used?
Answer:
19 by 38
Step-by-step explanation:
The area of the poster, A=xy
Margin at both up and bottom is 2inches, at the right and left is 1 inch
Then we can say
(x-4)(y-2)= 578
Let us make y subject of the formula
(y-2)= 578/(x-4)
y=[ 578/(x-4)] + 2
If we substitute into the area A equation we have
A= x { [ 578/(x-4)] + 2}
A= 2x + (578x)/(x - 4)
If we differentiate we have
A'(x)= [2+578(x-4)+578x ]/ (x-4)^2
=[ 2(x-4)^2 + 578(x -4) + 578x ] / (x-4)^2
=[ 2(x^2 - 8x +16) + 578(x-4) + 578x ] /(x-4)^2
If we simplify this we have
=[ 2x^2 -16x +32+578x -578x - 2312]/ (x-4)^2
=( 2x^2 -16x - 2312) / (x-4)^2
At A'(x)= 0
= ( x^2 - 8x - 2312) / (x-4)^ =0
If we divide through by 2 we have
x^2 - 8x - 1156= 0
Solving the quadratic eqn( CHECK THE ATTACHMENT)
X= 38 or -30 then we choose the positive one, then x= 38
Then from area of the poster
A= (x-4)(y-2)= 578
Substitute 38 as value of x
(38-4)(y-2)= 578
34(y-2)=578
34y-68=578
34y=646
y=19
Hence dimensions of the poster is 19 by 38
CHECK THE ATTACHMENT FOR QUADRATIC SOLUTION
a scientist is studying the growth of bacteria the bacteria double every 20 min if there are 5 bacteria at the beginning how many bacteria will be there in 2 hours?
Answer:
15,625
Step-by-step explanation:
2h=120m
120/20 = 6
5^6 = 15,625
Greatest common factor of 25,50,75
Answer:
gcd (50; 75) = 25 = 5^2:
Step-by-step explanation:
hope it help
The greatest common factor of 25, 50 and 75 is 5*5, which is equal to 25.
We are given that;
The three numbers = 25, 50, 75
Now,
The greatest common factor (GCF) of two or more numbers is the largest positive integer that divides evenly into all the numbers with zero remainder.
To find the GCF of 25, 50 and 75, we can use the prime factorization method. This involves writing each number as a product of its prime factors and then finding the common factors among them.
The prime factorization of 25 is 5*5
The prime factorization of 50 is 2 x 5*5.
The prime factorization of 75 is 3 x 5*5.
The common factors of 25, 50 and 75 are 1 and 5*5.
Therefore, by factorization the answer will be 25.
Learn more about factorization here;
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Solve for W
8/10 = w/15
Answer:
12 because 12/15 =.8 so does 8/10
Answer:
w=12
Step-by-step explanation:
8/10 is equal to 4/5. 4/5 is equal to 12/15. Therefore, W represents 12.
Brainliest are always appreciated :)
Which of these is the algebraic expression for "4 times the sum of 2 and y?"
4. 2 + y
4(2 + y)
2 +4.7
2(4 + y)
write a function rule for the area, A, of a rectangle whose length is 6ft more than its width, w
9514 1404 393
Answer:
A = w(w +6)
Step-by-step explanation:
The length in feet will be w+6. The area is the product of length (w+6) and width (w).
A = w(w+6)
What is the square root of 10,000 in simplest radical form?
Answer:
Step-by-step explanation:
the answer is 100
Multi-Step Equations Escape Room
record the triangle from left to right (level 2)
Answer:
Not enough data
Step-by-step explanation:
The coffee merchant plans to mix some fancy $6.50 per pound ground coffee called royal soil with 10 pounds of a lowly $2 per pound ground called royal peasant. How many pounds of the $6.50 per pound ground coffee should he use?
Answer and explanation:
Given:
Royal soil= $6.50 per pound
Royal peasant = $2 per pound of 10 pounds
Blend total pounds is x+10, price is unknown hence solved below
Using algebra
We find unknown x = number of pounds of royal soil
$6.50(x)+$2(10)=6.50x+20/x+10(x+10)
= 6.50x+20= 6.50x²+85x+200
Answer: its 8 :)
i hope this helps!!!!
What is the simplest form of expression
What is the final amount if 1102 is increased by 2% followed by a further 1% increase?
Answer:
the final amount is 1,135
Step-by-step explanation:
The computation of the final amount is shown below:
= Amount × (1 + increased percentage)
= 1102 × (1 + 0.02)
= 1102 × 1.02
= 1124.04
Now the additional one percent increase is
= 1,124.04 × 1.01
= 1,135
Hence, the final amount is 1,135
The same is to be considered
what’s the hypotenuse of c ?
Answer:
it would be A 160
Step-by-step explanation:
4 square plus + 12 square = 16+144=160
HELPPPP... Don't just use my points people
Answer:
33
Step-by-step explanation:
I NEEP HELP ASAP PLEASE AND THANK YOU
Answer:
The first answer, 3 times the square root of x squared is correct.
Please help me with this question! Will mark brainliest :)
Answer:
option c ) y = 3x -2
given, y=10 & x=4
let's equate in equation
y = 3x -2
LHS = Y = 10 ( given )
RHS = 3X -2 = 3(4)-2
= 12-2
= 10
SO, LHS = RHS
hence , SATISFIED ✔️
we end here ^^"
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I NEED HELP! what shape is symmetry ?
Answer:
E, the heart
Step-by-step explanation:
Answer:
The heart
Step-by-step explanation:
It is able to flip and still look the same
Katrina wants to build a fence around her Square Garden the garden has an area of 121 square feet How much Fencing will Katrina Need?
A. 13 Feet
B. 26 Feet
C. 39 Feet
D. 44 Feet
Answer:
D. 44 because its the primemiter
Consider the system of equations.
y = –2x + 4,
3y + x = –3
Which statement is true of this system of equations?
Both equations are in slope-intercept form.
The first equation converted to slope-intercept form is y + 2x = 4.
The second equation converted to slope-intercept form is .y = negative one-third x minus 1
Neither equation is in slope-intercept form.
Answer:
C) The second equation converted to slope-intercept form is .y = negative one-third x minus 1
Step-by-step explanation:
Answer:
c on edge
Step-by-step explanation:
Consider the system of equations.
y = –2x + 4,
3y + x = –3
Which statement is true of this system of equations?
Both equations are in slope-intercept form.
The first equation converted to slope-intercept form is y + 2x = 4.
The second equation converted to slope-intercept form is .y = negative one-third x minus 1
Neither equation is in slope-intercept form.
c + 1/4c
please help me i need this done now
Answer:
[tex]1\frac{1}{4} c[/tex]
Step-by-step explanation:
[tex]c+\frac{1}{4}c[/tex]
Rewrite the expression
[tex]= 1c+\frac{1}{4} c[/tex]
Add
[tex]= 1\frac{1}{4} c[/tex]
Therefore, [tex]c+\frac{1}{4}c[/tex] is equal to [tex]1\frac{1}{4} c[/tex].
I hope this helps!
Holly bought a magazine subscription for a year. She paid $27. Holly wanted to find the price, p, of the subscription each month. She created the model shown to help find this price. 27 р |р |р |р |р |р |р |р | Р | Р |р | p What was the price of the subscription each month? F $39.00 G $2.25 H $324.00 3 $22.50
Answer:
2.25 should be the right answer