PLEASEE HELPP!
Use the following figure to answer BOTH parts the question
(a) Describe in words a sequence of transformations that maps ∆ to ∆′′′.
(b) Write an ordered-pair rule for each transformation in the sequence.
Transformation involves changing the position of a shape
The sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal and vertical shiftsThe ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex](a) The sequence that maps both triangles
From the figure the coordinates of both triangles are:
[tex]A = (-5,0)[/tex]
[tex]B = (-2,1)[/tex]
[tex]C = (-4,2)[/tex]
[tex]A' = (4,-2)[/tex]
[tex]B' = (1,-1)[/tex]
[tex]C = (3,0)[/tex]
Start by reflecting triangle ABC across the y-axis.
The rule of this transformation is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]A = (5,0)[/tex]
[tex]B = (2,1)[/tex]
[tex]C = (4,2)[/tex]
Next, translate the triangle 1 unit left and 2 units down
The rule of this transformation is:
[tex](x,y) \to (x,-1,y-2)[/tex]
So, we have:
[tex]A' = (4,-2)[/tex]
[tex]B' = (1,-1)[/tex]
[tex]C = (3,0)[/tex]
Hence, the sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal shift to the left by 1 unit, and vertical shift down by 2 units
(b) The ordered pair rule
In (a), we have:
[tex](x,y) \to (-x,y)[/tex] ---- reflection
[tex](x,y) \to (x,-1,y-2)[/tex] --- translation
Combine both transformations, so we have the following ordered pair:
[tex](x,y) \to (-x,-1,y-2)[/tex]
Hence, the ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex]
Read more about transformation at:
https://brainly.com/question/22047495
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y = 2x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (13, 21) ← 2 ordered pairs from the table
m = [tex]\frac{21-(-9)}{13-(-2)}[/tex] = [tex]\frac{21+9}{13+2}[/tex] = [tex]\frac{30}{15}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (3, 1 )
1 = 6 + c ⇒ c = 1 - 6 = - 5
y = 2x - 5 ← equation of linear function
Choose a midsegment of LJK.
A)LO
B)MK
C)OM
D)LN
Answer:
B
Step-by-step explanation:
that's my answer hope it helps ✨
The mid segment can be MK or LO or LN.
What is Mid segment?The line segment that joins the midpoints of two triangle sides is known as a midsegment. Each triangle has three midsegments since a triangle has three sides. A triangle's midsegment is half the length of the third side and runs parallel to the third side of the triangle.
Given:
We know that the Midsegment is generally formed by the mid points of the line.
But, for Mid Segment of LJK we can write
Mid Segment= 1/2 x Triangle Base
= 1/2 x JK (or LK or LJ)
= MK or LO or LN
Hence, the mid segment can be MK or LO or LN.
Learn more about Mid segment here:
https://brainly.com/question/15381486
#SPJ2
Your teacher will grade your response to ensure you receive proper credit for your answer.
Explain how to find the degree of a polynomial.
please....help...
Answer:
Step-by-step explanation:
Degree is defined as the highest power of the polynomial function.
The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.
The polynomial function has n roots or zeroes.
Consider a polynomial function
The highest power of the polynomial function is 4.
Therefore, the degree of the polynomial function is 4.
Since, the degree of the polynomial function is 4. Therefore, the polynomial has 4 roots.
The highest power of the polynomial function is known as the degree and the number of roots is equal to the degree.
what is the equation?
Answer:
y=3x+1
Step-by-step explanation:
To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is
y = mx+b
In this case in figure 2 we see that there are 4 blocks, in figure 3 we see there are now 7 blocks.
7 - 4 = 3.
If we try again and see figure 3 has 7 blocks and figure 4 has 10 blocks we can do this to double check.
10 - 7 = 3. (This now verifies our rate of change to be 3)
We now see that the rate of change or slope (same thing) is 3 or put into the equation (3x).
Off this information we can also predict the original value of figure 1 (the figure we must calculate ourselves to create the equation).
Simply take figure 2 (4 blocks) and subtract by the rate of change which is (3 blocks) to get figure 1 which will be 1 block.
With all this information we can create the equation with the information we now have.
y = mx+b
y = what you are calculating for
m = 3
x = (the value you fill in when you are calculating for x) [we are not filling this in for this question so you will leave it as simply x]
b = 1 (the constant / y intercept / or simply put as the value we solved when calculating figure 1)
Final Result = [ y = 3x + 1]
What is the slope of the line?
I really need help
Slope
m=(2-0)/1+2m=2/3Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below. 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7 What is the mean of the data set rounded to the nearest tenth? 4. 0 shirts 4. 1 shirts 4. 5 shirts 4. 9 shirts.
Using it's formula, it is found that the mean of the data set is of 4.1 shirts.
The mean of a data-set is the sum of all observations divided by the number of observations.In this problem, the 12 observations are: 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7
Hence:
[tex]M = \frac{3 + 4 + 8 + 5 + 2 + 5 + 0 + 5 + 3 + 4 + 3 + 7}{12} = 4.1[/tex]
The mean of the data set is of 4.1 shirts.
For more on the mean of a data-set, you can check https://brainly.com/question/24628525
Find the measures of the missing
angles of the right triangles below.
36°
a
b
с
Answer:
a = 54, b = 54, c = 36
Step-by-step explanation:
a + 90 + 36 = 180
a = 180 - 90 - 36
a = 54
b is the same as A
c + b (which is 54) + 90 = 180
c + 54 + 90 = 180
c = 36
Please help me with this
Answer:
8 3/42, 34 1/2, 11 1/49 3/4, 16 1/4Y/B = 2/3Step-by-step explanation:
a)The first line is simply the sum of the two given numbers.
3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4
__
To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...
Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3
Then ...
Y : B : total = 2 : 3 : 5
This tells you the numbers on the second line are ...
Y = 2; B = 3
__
The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...
Y = 2(2 1/4) = 4 1/2
total = 5(2 1/4) = 11 1/4
__
The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...
B = 3(3 1/4) = 9 3/4
total = 5(3 1/4) = 16 1/4
_____
b)The equation is the one we used to find the values on the second line:
Y/B = 2/3
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?
Simplify.
4x2+2xx2+x−28x2+4x3x2+10x+8
Answer:
3x+4/2(x-1)
Step-by-step explanation:
Took the test
Alesia reads 12 books over 6 months. After 8 months, how many books will she have read in all?
18 books
16 books
22 books
20 books
Billy likes to go cycling.
His bike has wheels of diameter 80 cm.
He has a counter on his bike which
counts the number of revolutions
the wheels make.
One day the counter shows 350 revolutions.
How far has Billy cycled?
Give your answer to the nearest metre.
Answer:
560 metres
Step-by-step explanation:
80 cm in metres is 0.8 metres.
After 1 revolution any point on the wheel will be back to the original position before moving. 0.8 times 2, which gives us 1.6 metres. In 1 revolution the bike travels 1.6 metres.
Now 1.6 metres times 350 gives us 560.
So the answer is 560 metres.
What do we do when we cite evidence?
Give a quote from the text
Explain evidence
Give your argument
Tell a joke
WILL MARK BRAINLY NO BOTS
Answer:Citing textual evidence requires students to look back into the text for evidence to support an idea, answer a question or make a claim. Citing evidence requires students to think more deeply about the text, analyze the author, source etc.
Step-by-step explanation: u havent given the text but i hope this helps
brainliest?
Calculate 1.25 X (3)
Answer: 3.75 is your answer!
Step-by-step explanation: hope i helped my answer is 100% correct
Evaluate: 4.3 - (-2.7)
7
1.6
-1.6
-7
Answer:
7
Step-by-step explanation:
That means 4.3 (2.7) = 7
The negative signs get removed because negative × negative = positive
if I have five candies from the box containing 9 candies I ate 5/9 of all candies so 5 is what part of 9 is 3
Answer: 1/3?
Step-by-step explanation:
The wording is a bit confusing. ". . . so 5 is what part of 9 is 3 . ." seems to be missing some portion of the sentence.
You ate 5/9 of the candies. There were 9 and you consumed 5. I don't know what you are asking in " . . what part of 9 is 3." 3 is 3/9, or 1/3.
In which of the following numbers does the digit 2 represent tens? *
2517
342
720
518.2
Answer:
720
Step-by-step explanation:
The digit 2 is the second digit left of the decimal point in the number ...
720
_____
2517 --- 2 is in the thousands place
342 --- 2 is in the ones place
720 --- 2 is in the tens place
518.2 --- 2 is in the tenths place
8. Which of the following equations represents
a line with a positive slope and a negative
y-intercept?
A. y = 3.5x
B. y = 7.5x – 2
C. y = 3x + 7
D. y = -5x -8
Answer:
d y=-5x-8
Step-by-step explanation:
Answer:
B. y = 7.5x – 2
Step-by-step explanation:
Any equation with a positive coefficient before the x is positive and the second value is the y - intercept.
HELP. RIGHT NOW PLEASE :>
Simplify
Answer:
√
4
x
5
√
(
x
−
1
)
2
−
3
2
+
3
y
−
3
Step-by-step explanation:
√
4
x
5
√
(
x
−
1
)
2
−
3
2
+
3
y
−
3
What is the answer for the explanation
Answer: You cannot figure out the value without any measurements or tools for that matter.
Step-by-step explanation:
Im blue ba da de ba da da
Please Help ill give brainliest!!!! Help ASAP
Question: Whose puppy gained weight the slowest? How much did it gain per week?
Answer:
Camille's puppy becuase it gains about half a pound per week
Step-by-step explanation:
Answer:
Camille's puppy because it gains about half a pound per week
Step-by-step explanation:
brainliest please?
If IK and LN are parallel lines and M
Answer:
40°
Step-by-step explanation:
Both angles are opposites so together they equal 180.
180 - 140 = 40
I hope this helps!!
The measure of angle IJM is 40°.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given are two parallel lines IK and LN.
From the figure, OH is a transversal line that intersects the given parallel lines.
We have m ∠IJH = 140°
We have to calculate the measure of ∠IJM.
Since ∠IJH and ∠IJM are the pair of linear angles, the sum of their angles is 180°.
m ∠IJH + m ∠IJM = 180°
140° + m ∠IJM = 180°
m ∠IJM = 180° - 140°
m ∠IJM = 40°
Hence 40° is the measure of angle IJM.
To learn more about Angles, click :
https://brainly.com/question/28451077
#SPJ2
can someone please help me with this? pls & thank you!
Answer:
see explanation
Step-by-step explanation:
Equation for Fast Internet is
45 + 50.45x
Equation for Quick Internet is
57.95x
To find when they cost the same , equate the 2 equations
45 + 50.45x = 57.95x ← required equation
Solve the equation by subtracting 50.45x from both sides
45 = 7.5x ( divide both sides by 7.5 )
6 = x
Both services would cost the same after 6 months
4. Match these equation balancing steps with the description of what was done in each step.
Step 1:
12x−6 =10 6x−3 =5
Step 2:
6x−3 =5 6x =8
Step 3:
6x =8 x =43
Descriptions to match with each step:
A: Add 3 to both sides
B: Multiply both sides by 16
C: Divide both sides by 2
Answer:
step 1 - C.
step 2 - A.
step 3 - B.
Mrs. Byrne washed
2
7
of her laundry. Her son washed
1
4
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
Mrs. Byrne washed more
Step-by-step explanation:
Helppppppppppppppppppp
Answer:
Step-by-step explanation:
13+(12-x)+14+(20-x)+x+(15-x)+8=74
solve for x
x=4
which option has the greater slope
A.y=3x+2
B the picture below
I REALLY NEED HELP ON THIS QUESTION I WILL MARK YOU BEAINLIEST!!!!
Answer:
A. Y=3x+2
Step-by-step explanation:
Y=mx+c
m - slope coefficient of x
and so you can easily find the slope if you are asked directly like this seen in option A.
the picture has a value of X2=-3 , X1=3 & Y1=3 Y2= 1
m = Y2 - Y1 / X2 - X1 = 1-3/-3-3 = -2/-6 = 1/3.
as you can now see, the slope from the pic which is 1/3 is less than that of option A.
3. Solve the equation shown below for x.
6(x - 1) = 42
Answer:
Answer:
x=8
Step-by-step explanation:
open the brackets to be
6x-6=42
then collect like tems
6x=48
x=8
please help i have a test tmw