Answer:
a = 160 square units
Step-by-step explanation:
The areas of the image are 160, 22.5 and 10 square units
The area of the polygon is given as:
A =10 square unit
The area of the image of the polygon is calculated as:
[tex]A_k = A * k^2[/tex]
When k = 4, we have:
[tex]A_4 = 10 * 4^2[/tex]
[tex]A_4 = 160[/tex]
When k = 1.5, we have:
[tex]A_{1.5} = 10 * 1.5^2[/tex]
[tex]A_{1.5} = 22.5[/tex]
When k = 1, we have:
[tex]A_{1} = 10 * 1^2[/tex]
[tex]A_{1} =10[/tex]
Hence, the areas of the image are 160, 22.5 and 10 square units
Read more about dilation at:
https://brainly.com/question/3457976
Solve the following system: y = x 3 2x y = 9 (2, 5) (5, 2) (â’2, 5) (2, â’5).
The required solution of the equation is (2,5). The correct option is A. (2,5).
Given equations,[tex]y=x+3.....(1)\\2x+y=9......(2)[/tex]
How to solve a system of equations?putting the value of y from eq. 1 in eq. 2 we get,
[tex]2x+x+3=9\\3x=9-3\\3x=6\\x=2[/tex]
putting the value of x=2 in eq. 1 we get,
[tex]y=2+3\\y=5[/tex]
Hence, the required solution of the equation is (2,5).
For more details on solving the equation follow the link:
https://brainly.com/question/11897796
regan sold 2200 cookies in a fundraiser to "save the world" and raised $5000. If she sold
her Snickerdoodle cookies for $1.50 each and chocolate chip cookies for $4.00 each, how
many chocolate chip cookies did she sell?
Answer:
she sold 680 chocolate chip cokies
Step-by-step explanation:
Stacy was sitting in a seat at a football game when another ticket holder told her she was in the
wrong seat. The other ticket holder politely told Stacy she needed to go 3 rows down and 5
seats to the right. Which rule describes the translation needed to put Stacy in the correct seat?
(x, y) + (x - 5, y + 3)
(x, y) = (x - 3, y + 5)
(x, y) = (x + 5, y - 3)
(x, y) = (x + 3, y-5)
Answer:
The answer is (x, y) = (x + 3, y-5)
Step by step explanation:
So y is the up and down axis while x it the side to side axis, so for y it would be 5 down (-5) and for x it would be 3 to the right (3).
Your Welcome. :)
PLEASE ANSWER!!
STEP BY STEP
In hockey standing, I went out for two points, takeout for one point and I lost count for zero points. And the first time games, the devil 15, last four and tied one game. If they continues at the same rate, how many points do they have accumulated after they have played a total of 80 games?
Mary is 19 years younger than Jordan. Sarah is 49. Leo is 11 years younger than Sarah and 3 years
younger than Jordan. How old is Mary?
Answer:
22 years old
Step-by-step explanation:
Sarah - 49 years old
Leo - 38 years old
Mary - 22 years old
Jordan - 41 years old
I think I'm right
if the discriminant is negative how many solutions are there
Answer:
no real solutions
Step-by-step explanation:
If it is a quadratic equation, there are always two solutions, regardless of the value of the discriminant.
When the discriminant is negative there are no real solutions, but there are two complex solutions.
Which is an equation of the line through the origin and (-5,6)?
A. y=-5/6x
B. y=-6x
C. y=-5x
D. y=- 6/5x
Answer:
y=-6/5x
Step-by-step explanation:
NO LINKS PLEASE. 10 POINTS! WHAT IS THE ANSWERs to THE SCREENSHOT? P.S. Please include graphing and labeling<:
Answer:
The answer is located in the image below.
michelle drove 325 miles in 5 hours. if she traveled at a steady speed, how far did she drive per hour?
Answer:
65 miles per hour.
Step-by-step explanation:
You can divide 325 by 5 to get how many miles she drove per hour :)
Answer:
65mph
Step-by-step explanation:
Divide 325 by 5 to get your answer.
The formula for speed is speed=Distance/Time
So take the total distance, and divide it by the time
AB is a line segment.
The midpoint of the line segment AB has coordinates (3, 5)
Point A has coordinates (9, 2)
Work out the coordinates of point B.
Answer:
(-3,8)
Step-by-step explanation:
Lets say two points are (x1,y1) and (x2,y2), the midpoint will be:
((x1+x2)/2,(y1+y2)/2)
Plugging the point A in, we get: the midpoint, (3,5) as (((9+x2)/2),(2+y2)/2)
We can assign x2 and y2 as variables.
(9+x2)/2=3
9+x2=6
x2= -3
(2+y2)/2=5
2+y2=10
y2=8
therefore we get the point (-3,8)
There are better ways and this is the "formulaic (ig) way" to do this
The midpoint of a line segment means a point which lies in the mid of the given line segment. The coordinate of point B is (-3,8).
What are the coordinates of the midpoint of the line segment AB?The midpoint of a line segment means a point which lies in the mid of the given line segment.
Suppose we've two endpoints of a line segment:
A(p,q), and B(m,n)
Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:
x = (p+m)/2
and
y = (q+n)/2
The coordinate of the midpoint (x,y)=(3,5), while the coordinate of A(p,q)=(9,2). Thus, the coordinate of point A are,
x=(p+m)/2
3=(9+m)/2
6=9+m
m = -3
y = (q+n)/2
5 = (2+n)/2
10=2+n
n=8
Hence, the coordinate of point B is (-3,8).
Learn more about Midpoint:
https://brainly.com/question/5127660
#SPJ2
Find the diameter of a circle whose Circumfrence is 66 m
Answer:
21.00845
Step-by-step explanation:
πD = 66m
D = 66x 7/22
D = 21m is your answer brainlist me plz
Raven was a writing a story. She was trying to figure out how long it would take for her to write it. If she can ride 2 2/3 pages in one hour, how many pages will she have written after 2 1/2 hours? who is correct?
Answer:
She would have written 6 2/3 pages.
Step-by-step explanation:
2 2/3 pages = 1 hour
6 2/3 pages = 2 1/2 hours
how do you solve 9-3(5-4x)
Answer:
-6+12x
Step-by-step explanation:
9-15+12xmultiply -3(5-4x), calculate the difference
-6+12x
how do you solve this question
Let the ceilings be a & b
and the distance from one corner of the ceiling to the opposite be c
then using Pythagoras theorem
[tex]c = \sqrt{a {}^{2} + b {}^{2} } \\ c = \sqrt{16 {}^{2} + 12 {}^{2} } \\ c = \sqrt{256 + 144 } \\ c = \sqrt{400} \\ c = 20[/tex]
hence ,c .°. the distance from one corner of the ceiling to the opposite is 20
PLEASE HELP I WILL GIVE BRAINLIEST IF YOU ARE CORRECT
Which of the following is a function equivalent to
f(x)=3(1.2)4x ?
Group of answer choices
f(x)=3(2.01)x
f(x)=3(2.07)x
f(x)=3(4.8)x
f(x)=12(1.2)x
Answer:
f(x)=12(1.2)x
Step-by-step explanation:
pPLEASE HELP ME, I NEED HELP I CANT UNDERSTAND I COULD JUST GUESS BUT ITS IMPORTANT PLS
Answer: where’s the question??
14. Complete the table below to represent y = 0.25x + 3.
Then draw a graph to represent the relationship between
the x and y-values.
Answer: 3 is the y intercept; so it will touch the y axis at 3, and 0.25 is the slope of the line
Step-by-step explanation:
go to desmos. com/calculator and put that equation, if you are having a hard time visualizing it.
A $500 prize is shared equally between Maxwell and
Lino.
What fraction of the money does Maxwell get?
Answer:
1/2 50% $250
Step-by-step explanation:
Answer:
250$, or in fraction form, 1/2
Step-by-step explanation:
There are 2 people, so divide 1 whole by 2. Which is .5, or 1/2
4x+3y = 22 (slope intercept forma
Answer:
I am pretty sure it is y=22-4x/3
Step-by-step explanation:
4x+3y=22
(you need to put it in y=mx+b format)
-subtract 4x on both sides-
3y=22-4x
-divide by 3 on both sides-
y=22-4x/3
Not sure if this is correct, but I hope this helps!
A. Decide whether the given examples illustrate a constant or a variable.
1. Number of family members in each house
2. Amount of money in the bank every month
3. Number of seconds in a minute
4. Weekly expenses of groceries
5. Number of years in a millennium.
Asynchronous task on introduction to algebraic expressions
B. Make your own algebraic expressions based on the given conditions.
1. A variable
2. A combination of any number and any variable related by exponentiation.
3. A combination of any two variables related by subtraction.
4. A combination of any number and any three variables related by multiplication.
pls answer and help me..
Answer:
a constant is a data item whose value cannot change during the program execution just as its name implies that the value is constant a variable is a data item whose value can change during the program's execution . Thus as its name implies the the value can vary
HELPPP Provide the missing statements and reasons for the following proof:
Given: Line m is parallel to line n.
Prove: ∠1 is supplementary to ∠2.
The missing statements and reasons in the proof showing that ∠1 is supplementary to ∠2 are:
S2: ∠2 ≅ ∠3
R2: corresponding angles
S3: m∠2 ≅ m∠3
R3: Definition of congruent angles
R5: Definition of supplementary angles
S7: m∠1 + m∠2 = 180°
S8: ∠1 is supplementary to ∠2
Given the proof to show that ∠1 is supplementary to ∠2, thus:
Since lines m and n are parallel to each other,
∠2 and ∠3 are corresponding angles, so, ∠2 ≅ ∠3 based on the corresponding angles theorem.
Since ∠1 and ∠3 form a linear pair, they are supplementary to each other.
By substitution, we would have m∠1 + m∠2 = 180°.
Therefore, we can conclude that ∠1 is supplementary to ∠2.
In summary, the missing statements and reasons in the proof showing that ∠1 is supplementary to ∠2 are:
S2: ∠2 ≅ ∠3
R2: corresponding angles
S3: m∠2 ≅ m∠3
R3: Definition of congruent angles
R5: Definition of supplementary angles
S7: m∠1 + m∠2 = 180°
S8: ∠1 is supplementary to ∠2
Learn more about supplementary angles on:
https://brainly.com/question/12919120
IF 15 CHOCOLATE COST 10 RUPEES THEN HOW MUCH DOES 1 CHOCOLATE COSTS.
Answer:
2/3 Rupees
Step-by-step explanation:
Lets say Chocolate is C and a rupee is R.
Then, 15C = 10R. We can simplify to 3C = 2R. Now we divide both sides by Three to get C = 2/3R, which means a chocolate is 2/3 of a rupee!
Five Identical semicircles are arranged as shown.
Find the diameter of one circle
The diameter of one circle is 28 units
Find the diagram shown below:
Considering the semi-circle at the centre.
Let the unknown distance from the left be x:Let the unknown distance from the right be y:To get the value of "x"
x + 16 = 22
x = 22 - 16
x = 6
To get the value of "x"
16 +y = 22
y = 22 - 16
y = 6
Diameter of one of the circle = x + 16 + y
Diameter of one of the circle = 6 + 16 + 6
Diameter of one of the circle = 28
Hence the diameter of one circle is 28 units
Learn more on diameter of circle: https://brainly.com/question/23220731
BRAINLIEST
Please answer these
Answer:
that's my answer in mathematics hope it helps for you
First person to get it right will get brainly and 20points
if i have 2 Ds and 3 Bs will i move on too 7th grade? i have one d in history and one d in language arts but Bs in evrything else
Answer:
you will bcz u didn't fail
PLEASE HELP ME OUT I WILL GIVE BRAINLIEST
Metallic blocks X, Y, and Z were placed in the graduates A,B,C the initial volume of liquid in the equal sized graduates was 40 ML. Which block was placed in which graduate?
Answer:
Answers are B-Y, C-Z, A-X
Isolate the variable to solve 4x + 4 > –20. Which number line shows the solution set?
HURRY!!!! I'LL GIVE YOU BRAINEIST!!
Answer:
B save your time its the same answer
Step-by-step explanation:
Good Luck!
In the ratio of 3:3:2, three sisters invested a total of 54,000 pesos to a store. Find the share of the second sister in the investment.
Answer:
20, 250
Step-by-step explanation:
3:3:2
u will first need to find the addition of all the ratio and divide each ratio by the sum
3+3+2=8
the u will; 3/8×54000=20,250
3/8×54000=20,250
2/8×54000=13500
Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table shows the value of the cement mixer after the first and second years: Year 1 2 Value (in dollars) 47,158. 35 41,027. 76 Which function best represents the value of the cement mixer after t years? f(t) = 47,158. 35(0. 87)t f(t) = 54,205(0. 13)t f(t) = 47,158. 35(0. 13)t f(t) = 54,205(0. 87)t.
The value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex]
Given to us
The value of cement mixer when bought, [tex]P[/tex]= $ 54,205
the value of cement mixer after 1 year, [tex]P_1[/tex]= $ 47,158. 35
the value of cement mixer after 2 year,[tex]P_2[/tex]= $ 41,027. 76
To find out depreciation we can use the formula for depreciation,
[tex]P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years[/tex]
By putting the value, in the formula we get,
[tex]P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13[/tex]
Therefore, putting the value of [tex]r[/tex] and [tex]P[/tex] in depreciation formula for [tex]t[/tex] years we get,
[tex]P_n= P(1-r)^n[/tex]
[tex]f(t) = 54,205(0. 87)^{t}[/tex]
Hence, the value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex].
To know more visit:
https://brainly.com/question/3023490
