PLEASE HELP QUICKLY. THESE FIGURES ARE CONGRUENT. WHAT SERIES OF TRANSFORMATIONS MOVES QUADRILATERAL FGHI ONTO QUADRILATERAL F’G’H’I’ ?
Answers
Answer:
D
Step-by-step explanation:
It must first translate 1 unit to the left because quadrilateral F'G'H'I is one unit away from to y axis. It can then translate across the y-axis.
The series of transformations that moved Quadrilateral FGHI to Quadrilateral F'G'H'I' is Translation and Reflection. The correct option is D.
What is Transformation?Transformation in Geometry is changing the object from its original position on the map to a different position by translating, reflecting, rotating, or dilating.
The image shows two objects which are congruent but have different coordinates.
The series of transformations that changed the quadrilateral from its original position to the transformed one is the Translation of 2 units to the right and then Reflection along y-axis.
Therefore, the correct option is D.
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Related Questions
Given f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3, determine whether or not x-a and x+a are factors of f(x). Hence, find, in terms of a, the roots of f(x) = 0.
thankyou so much
Answers
Answer:
Step-by-step explanation:
f(x) = 2x³ + ax² - 7a²x - 6a³
= 2x³ - 2a²x + ax² - a³ - 5a²x - 5a³
= 2x(x² - a²) + a(x² - a²) - 5a²(x+a)
= (2x+a)(x - a)(x + a) - 5a²(x + a)
= (x + a)[(2x + a)(x - a) - 5a²]
= (x + a)(2x² - ax - 6a²)
= (x + a)(2x + 3a)(x - 2a)
x-a is the factor of the equation and x + a is not a factor of the equation,
All the roots of the equation are x + a, 2x+3a, x-2a.
What is a cubic equation ?"In algebra, a cubic equation in one variable is an equation of the form
ax^3+bx^2+cx+d=0
in which a is nonzero.
The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients a, b, c, and d of the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions). "
Given equation is [tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3[/tex]
Now,
[tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3\\\\= 2x^3 - 2a^2x + ax^2 - a^3 - 5a^2x - 5a^3\\\\= 2x(x^2 - a^2) + a(x^2 - a^2) - 5a^2(x+a)\\\\= (2x+a)(x - a)(x + a) - 5a^2(x + a)\\\\= (x + a)[(2x + a)(x - a) - 5a^2]\\\\= (x + a)(2x^2 - ax - 6a^2)\\\\= (x + a)(2x + 3a)(x - 2a)[/tex]
Hence, the roots of the equation are x + a, 2x +3a, x - 2a.
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Joseph drives 125 miles in 2.1 hours. At the same rate, how far will he be able to travel in 6 hours?
Answers
Answer:
Step-by-step explanation:
2.1 hours is 126 minutes. he drove 125 miles in 126 minutes. now we need to find out how much joseph can drive per a steady amount of time. in 6 minutes, he will drive about 5.95 miles. there are 360 minutes in 6 hours. 360/6 is 60 (just doing this again). 60 times 5.95 is 357.
Aubrey bought 5 packs of stickers each with 30 stickers. Izzy bought 4 packs,
each with 40 stickers. How many stickers do they have total
Answers
They have 310 stickers in total
Daniel bought 8 pairs of socks and a tshirt. The t-shirt cost $15.
Write an equation for the Total Cost Let x = the price of socks. How much was each pair of
socks if the Total Cost was $31? Show all calculations/work.
Answers
Or
16 + 15 = 31
Not entirely sure if this is what you were asking for but I hope this helps!
the sum of 2 numbers is 35 and their difference is 15
Answers
Answer:
x = 25,
y = 10
Step-by-step explanation:
Call the larger number "x", and the smaller one "y".
Set up a system, based on the given infomration
x + y = 35
x - y = 15
Solve the system by elimination, in this case, one can just add the two systems to eliminate a variable.
x + y = 35
x - y = 15
x + y + x - y = 15 + 35
Simplify,
2x = 50
Inverse operations,
2x = 50
/2 /2
x = 25
Substitute back in to find y,
x + y = 35
x = 25
25 + y = 35
Inverse operations,
25 + y = 35
-25 -25
y = 10
3
2
f(x)
1 +
-4
-3
1
2
3
4
-2
-3
-4
What is the domain of f(x)? (1 point)
-3 SX<1
0-3
0-4
O -45y<2
Answers
Repost your question. Not readable.
Problem 3: Serena is the manager of the coffee shop. The amount of money she earns is represented by the equation m=21h, where h is the number of hours Serena works, and m is the amount of money she earns. How much more money does Serena make an hour than Gabe? Explain your thinking.
Answers
Answer:
Serena earns $7.50 per hour more than Gabe
Step-by-step explanation:
Given
Serena:
[tex]m = 21h[/tex]
Gabe
Earnings: $13.50 per hour ----- Missing Part of equation
Required
How much more does Serena earn per hour
For Serena
[tex]m = 21h[/tex] implies that She earns $21 per hour
So, to determine how much more She earns, we simply calculate the difference.
[tex]Difference = \$21 - \$13.50[/tex] (per hour)
[tex]Difference = \$7.50[/tex] (per hour)
The difference implies that Serena earns $7.50 per hour more than Gabe
pls help me with this
Answers
Error: She did not fully simplify [tex]\sqrt{12x^{3}}[/tex]
Correct simplification:
[tex]5x\sqrt{48x^{5}}\\\\=5x\sqrt{16x^{4}}\sqrt{3x}\\\\=5x(4x^{2})\sqrt{3x}\\\\=20x^{3}\sqrt{3x}[/tex]
.In a factory all employees work a basic week of 38 hours. Any overtime worked during weekdays is paid for at time-and-a-half. Overtime worked on Saturday is paid for at double-time, whilst on Sunday it is paid for at triple time. If the basic rate is $8.96 per hour, find the gross wage of a man who worked 15 hours overtime from Monday to Friday, 3 hours overtime on Saturday and 2 hours overtime on Sunday
Answers
Answer:
1. reg pay: 8.96,week days: 1.5 overtime pay, sat: double pay, sun: triple pay
38 hrs regular pay : 38 * 8.96 = 340.48
15 hrs overtime during week : 15 * 1.5(8.96) = 15 * 13.44 = 201.60
3 hrs overtime on saturday: 3 * 2(8.96) = 3 * 17.92 = 53.76
2 hrs overtime on sunday: 2 * 3(8.96) = 2 * 26.88 = 53.76
Gross wage = (340.48 + 201.60 + 2(53.76) = 649.60 <====
Hope this helps!
7 (3 - 0.5k) 3k - 5
Answers
Step-by-step explanation:
63k -10.5k square 2-5 and you have you answer
At the time that a 55 foot tall tree casts a shadow that is 32 feet long, a nearby woman is 5.5 feet tall. Which measure is the closest to the length of the shadow she will cast?
Answers
Answer:
3.2ft long shadow
Step-by-step explanation:
In this problem we are given a ratio between the tree/shadow and woman/shadow therefore we are given 3 values and 1 unknown then we can use the Rule of Three to calculate the length of the shadow which we will refer to as x. The Rule of Three simply multiplies the diagonal values and divides by the third value in order to get the missing unknown like so...
55ft tall <======> 32ft long shadow
5.5ft tall <======> x ft long shadow
(5.5 * 32) / 55 = 3.2ft long shadow
Finally, we can see that the woman's shadow would be a 3.2ft long shadow
(-3)(+4)=?
Can someone tell me the answer to this?
Answers
Answer:
-12, or 1 (see explanation)
Step-by-step explanation:
(-3)(+4)
Is the same as
4 * (-3)
which is
-12
Unless your problem is:
(-3) + 4
Then it is the same as
4 - 3
which is
1
Write the rational number 1.5 using quotients of the form p/q. Use the integers below.
Answers
Answer:
3/2
Step-by-step explanation:
You didn't provide any integers.
Having said that, 1.5 = 1.5/1 = 3/2
Answer:
-3/2
Step-by-step explanation:
but since its positive its just 3/2
Simplify the expression 7(3+2p+7).
Answers
Answer: 14p +70
Step-by-step explanation:
Answer:
84p
Step-by-step explanation:
3+2=5 +7=12x7+84
4.A 5 ft. by 20 ft room has a circular rug. If the rug has a dlameter of 10 ft., how much of the floor
is not covered by the rug?
Answers
Answer:
option 4
Step-by-step explanation:
please complete the chart with the correct angle measures
Answers
Answer:
10. X= 11
11. X= 5
Step-by-step explanation:
5x-8+43=90
x= 11
--------------------
3x+3+72=90
x= 5
give brainliest pls
Penny compared the price of gumdrops at two stores. At Save-More Market, gumdrops are $3.95 per pound. At the Buy-Here Warehouse, the price is two pounds for $6.50. Which store has the better buy? Explain your answer.
Answers
Answer:
Buy-Here Warehouse has the better deal.
Step-by-step explanation:
divide
$6.50 divided by 2 = $3.25
$3.25 costs less than $3.95 for a pound
What are the like terms in the following expression?
9x + 7 + 4x
Answers
Answer:
9x and 4x are like terms
Step-by-step explanation:
write an equivalent expression by distributing the "_" sign outside the parenthesis
1.6n-(4p-3)
Answers
9514 1404 393
Answer:
1.6n -4p +3
Step-by-step explanation:
Distributing the minus sign changes the signs of all the terms inside parentheses.
-(4p-3) = -4p +3
When that is added to 1.6n, the entire expression is ...
1.6n -4p +3
A student makes paper airplanes. She can make 3 airplanes from each sheet of paper.
She wants to have 105 paper airplanes ready for her birthday party. She has 9 paper
airplanes in her paper airplane hanger left over from last year. What is considered the
independent variable in this situation?
A. 3 airplanes from each sheet
B. 105 paper airplanes
O
C. 9 paper airplanes in the hanger
D. 32 sheets of paper
Answers
Answer:
3 airplanes from each sheet
Answer:
3 airplanes from each sheet Hope it helps :)
Step-by-step explanation:
A pie recipe calls for u to use 3/8 cup of milk, 1/8 cup of oil, and 3/8 cup of water. How many liquid do you need to make the pie
Answers
3. A florist sells large floral arrangements for $60 each. Small floral arrangements sell for $15 each. Jenna is buying 2 large floral arrangements and x small floral arrangements. Let y represent the total cost Jenna must pay in dollars.
Write an equation in slope-intercept form to model this description.
Answers
Answer:
y=120
Step-by-step explanation: 60 x 2 = 120
15x + 120
PLS HELP ITS DUE IN AN HOUR!
WILL GIVE BRAINLIEST!
Answers
Answer:
Step-by-step explanation:
Unfortunately other people have promised to give Brainliest before and they never did. However, I'll answer the third question and tell you that it's 8 sides.
help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
2^4 or 16 is your answer
URGENT Find the base angles of the figure below.
Answers
Answer:
25°
Step-by-step explanation:
Since AB = AC then the triangle is isosceles.
Thus the 2 base angles are congruent, that is
base angle = [tex]\frac{180-130}{2}[/tex] = [tex]\frac{50}{2}[/tex] = 25°
Answer:
D. 25° hope this helps
Step-by-step explanation:
D is f(x)=3(x+2)^2-2 it wasn’t able to fit on the screen HELP ME THOUGH PLZ
Answers
Answer:
The answer is B (filler)
please help! algebra 1
Answers
(y2 - y1) / (x2 - x1)
(-10 - (-4)) / (-12 - (-20))
= -6/8
Therefore the answer is D.
Ricky and Sam each bought a remote control car for $80. A few months later they both sold it. Ricky sold his car for 25% less than the original price and Sam sold his car for 30% less than the original price. How much more did Ricky get than Sam?
Answers
Answer:
Ricky get $4 than Sam.
Step-by-step explanation:
.25x80=20
80-20=60
.30×80=24
80-24=56
Write the slope intercept form of the equation of each line given the slope and y-intercept. PLEASE HURRY!!
Answers
Answer:
y=3/2x-2
slope is 3/2 y-intercept is -2
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
find the rate 3\4 of a page in 1\3 of an hour
Answers
Answer:
2.5 pages an hour
Step-by-step explanation:
3 times 3 is 9 9 divided by 4 is 2.5
