Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units
What is graph transformation?
The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.
Graphs can be extended, rotated, inverted, or any combination of these transformations; they can also be translated or moved along the xyxy plane. The formulas "move the function f(x)f(x) by cc units in some direction," "stretch the function f(x)f(x) by cc units," and "rotate the function f(x)f(x) by xx units about the xx-, yy-, or zz-axis" are frequently used in mathematical issues. In every instance, the transformation has specific, calculable effects on the underlying function.
Since the triangle ABC and DEF is similar
So we can write,
DE/BC=EF/AB=FD/CA
scale factor =Length of CA/length of DF
=6/3
=2:1
Reflected at y axis i.e x=0
and raised by 2 units.
Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units
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Select the correct answer. Consider this absolute value function. f(x)= |x-5| How can function f be written as a piecewise function?
(multiple choice)
Answer:
Option A.
Step-by-step explanation:
An absolute value function can be written in two ways, as the absolute value sign does not allow negative values.
[tex]|x-5|=x-5[/tex]
or
[tex]|x-5|=-(x-5)=-x+5[/tex]
The only options with these equations are A. and D.
D. can be eliminated as the inequalities given for the piecewise function do not match f(x)
To see it visually, you can try graphing it on a calculator or internet graphing service.
Please help work is due in a couple of minutes
Step-by-step explanation:
3m is the answer.
hope it helps
Answer:
3 meters
Step-by-step explanation:
The train starts at (0, 0) and ends at (6, 3). So the train travels in 6 seconds (6 - 0) 3 meters (3 - 0).
Lisa bought a bracelet for $20.50, a scarf for $8.75, and socks for $6.25. How much money did she spend?
Answer:
Lisa spent $35.50
Step-by-step explanation:
$20.50 + $8.75 + $6.25 = 35.5
In terms of money, it is $35.50
Alexa has $300 in her bank account. Each week for 5 weeks she spends 18 dollars on things. How much money does she have after 5 weeks
Answer:
$210
Step-by-step explanation:
$300 - (5 x 18)
= 300 - 90
= $210
solve the equation
4(2^m+1)-16^m=0
[tex]\\ \rm\longmapsto 4(2^m+1)-16^m=0[/tex]
[tex]\\ \rm\longmapsto 8^m+4-16^m[/tex]
take 4common[tex]\\ \rm\longmapsto 4(2^m+1-4^m)=0[/tex]
[tex]\\ \rm\longmapsto 2^m-4^m+1=0[/tex]
[tex]\\ \rm\longmapsto 2^m=4^m[/tex]
[tex]\\ \rm\longmapsto 2^m=2^{2^m}[/tex]
[tex]\\ \rm\longmapsto 2^m=m[/tex]
[tex]\\ \rm\longmapsto m=\dfrac{1}{2}[/tex]
Someone help please
1= 39 degrees
2: 40 degrees
3: 41 degrees
4: 42 degrees
Answer:
A
Step-by-step explanation:
This uses the sine law.
Sin(theta)/113 = sin(42)/120 Multiply both sides by 113
sin(theta) = 113*sin(42)/120
sin42 = 0.6691
sin(theta) = 113 * 0.6691 / 120
sin(theta) = 0.630008
theta = sin-1(0.63008)
theta = 39.1 Looks Like A
What is 1,025 divided by 68
Answer:
15.07352941
Step-by-step explanation:
in short 15.07
solve for y 7y-3y=8
plzzzz answer
will give brainliest!!!!
Answer:
Step-by-step explanation:
7y-3y= 4y
4y=8
Here when its like this we need y by itself, so you take out 4 by dividing 8 by 4.
y= 2
Can someone plz help me?
Answer:
C 6 loaves with flour left over
Step-by-step explanation:
Take the amount of flour and divide by the amount of flour per loaf
9/2 ÷ 2/3
Copy dot flip
9/2 * 3/2
27/4
Change to a mixed number
4 goes into 27 6 times with 3 left over
6 3/4
Answer:
He can make 6 loafs and he would have 1/6 cups of flour left
Step-by-step explanation:
If DE = 4 x + 10, EF = 2 x -1, and DF = 9 x - 15, what is the length of DF?
Answer:
DF = 57
Step-by-step explanation:
DE + EF = DF
(4x + 10) + (2x - 1) = 9x - 15
Combine like terms on the left side
6x + 9 = 9x - 15
Subtract 6x on both sides
9 = 3x - 15
Add 15 on both sides
24 = 3x
Divide by 3 on both sides
x = 8
DF = 9x - 15 = 9(8) - 15 = 72 - 15 = 57
Checking:
(4(8) + 10) + (2(8) - 1) = 9(8) - 15
(32 + 10) + (16 - 1) = 72 - 15
58 - 1 = 72 - 15
57 = 57
Answer:
DF= DE+EF
9x–15 = (4x+10)+(2x-1)
9x–15 = 6x +9
9x–6x= 9+15
3x = 24
x=24/3
x=8
DF = 9x –15 = 9(8)–15= 72 –15 = 57
So; DF = 57
I hope I helped you^_^
What is the least positive integer by which 1922 should be divided so that the resultant integer is a
perfect square?
Answer:
1922 = 2× 31 × 31
Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.
I hope this helped!
The lines shown below are perpendicular. Find the slope-intercept form of the equation of line y2.
Answer:
y = -1/3x + 4
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other. The equation for line y1 is 3x - 4 The slope is the coefficient of x, which is 3. That means the slope of line y2 is -1/3, because it's the negative reciprocal. As for the y-intercept, just look for the point on the y-axis that the line intercepts. If we look closely, we can see it intercepts point (0,4) on the y-axis. Therefore, the slope-intercept form equation for line y2 is: y = -1/3x + 4.
Answer:
y=5-x/3
Step-by-step explanation:
How do you solve this?
Answer:
Its minus 70 every time
Step-by-step explanation:
n=32
Answer:
it will take 36 months to completely pay the loan
Step-by-step explanation:
see that if the number of months paid is 1 and the amount owed is 2450 and that on number of months paid is 2 and then the amount owed is 2380
every month we have to substract 70
so we can make a pattern
0 months = 2520
1 month = 2450 that is 2520 - 70
2 months = 2380 that is 2520 - (2 × 70)
3 months = 2310 that is 2520 - (3 × 70)
.....
then it continues till n months
so
n months = 2520 - (n ×70)
n months = 2520 - (36 × 70)
36 months = 2520 - 2520
I need answers asap!!!!!!!
Step-by-step explanation:
with God everything is possible
explanation
because we go to church
WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area of the garden ) step by step
Answer:
1400m^2
Step-by-step explanation:
Solution,
Let the breadth of the rectangle be x m, then the length of the rectangle will be x+5 m,
Now,
Perimeter of the rectangle=2(l+b)
150=2(x+5+x)
150=2(2x+5)
150=4x+10
150-10=4x
140=4x
140/4=x
35=x
So, the breadth of the rectangle=35 m
and length=(35+5)m=40m
Again,
Area of the rectangle=l×b
=40m×35m
=1400 m^2
I hope it helped U
stay safe stay happy
Answer: Area= 1400[tex]meter^{2}[/tex]
Step-by-step explanation:
ok so we can assume the
breadth=X
so, length = X+5 (because the length is 5 meters more than the breadth)
perimeter= 150 meters
the formula of the perimeter of a rectangle = 2 x ( Length + Breadth)
so now if we put the values,
2 * ( X+5 +X) = 150 ( because 150 is the perimeter)
2 * (2X + 5) = 150 (the value became 2x because when we add two variables with the same value it will be written as 2(any variable)).
now we multiply 2 with both sides
so ( 2 * 2X) + (2 * 5)
hence, 4X + 10 = 150
now we will solve the equation,
4X= 150 -10 (because we did transposal the signs will change from "+" to "-")
4x= 140
again with the transposal (when we write a number with a variable it shows that it means the number multiplied by the variable in this case it is 4 multiplied by X ) so when we transpose we will have to divide because multiplication turns into division while transposing
so now,
X= 140÷4
which is equal to 35
so finally X = 35
so as we have written in the beginning breadth= X
and LENGTH= X+5
so now we have found X
BREADTH= 35
LENGTH= 40 (because 35+5 is 40)
now we have to find area the formula for finding the area is LENGTH×BREADTH
so, 40 × 35 = 1400
now we put the unit which is square meters also known as [tex]m^{2}[/tex]
so there is your final answer 1400[tex]m^{2}[/tex]
I neeed Help it easy
What division problem iS
being
modeled?
Answer: I THINK fraction
Step-by-step explanation:
1/4 = fraction
A simple pulley with the give radius 4 in used to lift heavy objects is positioned 10 feet above ground level. Given that the pully rotates 720 degrees determine the height yo which the object is lifted.
9514 1404 393
Answer:
50.3 inches
Step-by-step explanation:
720 degrees is 2 full turns, or twice the circumference of the pulley. The circumference is given by ...
C = 2πr
C = 2π(4 in) = 8π in
Then 2 times that is ...
height lifted = 2(8π in) = 16π in ≈ 50.3 in
The object was lifted about 50.3 inches.
How do you find the slope of a line given the points ( -1 , -1 ) and ( 5 , -3 ) on the line?
Answer:
-1/3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
-3-(-1)/5-(-1)
-2/6
-1/3
Best of Luck!
multiply (2x+5) (2x-3)
(x-4) (3x²+5x+2)
Answer:
[tex]thank \: you[/tex]
It was recommended that students drink 48 or more ounces of water.
How could you use a histogram to easily display the number of students
who drank the recommended amount?
Histograms are used to graph the frequency of data, where the length of the bar represents the frequency.
The number of students that drank the recommended amount of water are 125
Given that
[tex]Recommended = 40\ or\ more[/tex]
The number of students who drank the recommended amount are students whose frequency (i.e. length of bars) is 40 or more
From the histogram (see attachment), only 2 bars are above the frequency of 40.
And the number of students in these bars are: 50 and 75
[tex]Total =50 + 75[/tex]
[tex]Total =125[/tex]
Hence, the number of students that drank the recommended amount of water are 125
Read more about histograms at:
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The temperature reading that is halfway between −10 degrees and 40 degrees is ___ degrees.
If the temperature was −3 degrees in the morning and 8 degrees in the afternoon, the change in temperature during that time is ____ degrees.
If the temperature has been changing at a rate of −1.5 degrees each hour, and it is currently 5 degrees, the temperature 4 hours ago was ___ degrees.
If the temperature continues to change at this rate of −1.5 per hour, and it is currently 5 degrees, the temperature in 4 hours will be ____ degrees.
Answer:
30, +11, 11, -1
Step-by-step explanation:
-10 + 30 = 10, 40 - 30= 10
-3 + 11 = 8
5 + (1.5 x 4) = 11
5 - (1.5 x 4) = -1
y more than 2 decreased by 8
Answer:
( y + 2 ) - 8
hope that helps uh..☺
what is an expression for...
4x + 4x + 4x + 4x + 4x + 4x
Answer:
24x
Step-by-step explanation:
4x + 4x + 4x + 4x + 4x + 4x
=> 4(x + x + x + x + x + x)
=> 4(6x)
=> 24x
Find the mean, median, and mode of 14, 15, 3, 15, 14, 14, 18, 15, 8, 16.
Answer:
mean: 13.2 (average)
median: 14.5 (Center)
mode: 14 and 15 (because data is bimodal so there are two modes
Step-by-step explanation:
Answer:
mean = 13.2, median = 15.5, mode = 18
Step-by-step explanation:
mean = 14+15+3+15+14+14+18+15+8+16/10
= 132/10 = 13.2
median =[ (n/2)th term + (n/2+1)term ]/2
here n is even so this formula is applied and before this is done, the numbers given are to be arranged in ascending or descending order
= [10/2 + (10/2+1)]/2
= [5th term + 6th term]/2
= (15+16)/2
= 31/2 = 15.5
mode = 18
Which graph represents the solution set to the system of inequalities?
p.s. i didn't mean to click that answer
Answer:
A (the firs one)
Step-by-step explanation:
Intersecting at (-3, 3)
2 similar caps cost as much as 3 similar shirts.
4 such caps and 3 such T-shirts cost $36.60
Find the cost of a cap, and the cost of 3 T-Shirts
Answer:
a=dollars6.10
b=dollars12.20
Step-by-step explanation:
Cap=x T-shirt=y
2x=3y 4x+2y=36.6
4x+ 3y=36.6 x=6.10
a) 4caps: 6.10
b) 3T-Shirt:3y=2x=2×6.10= 12.20
(According to Task)
An equation is formed when two equal expressions. The cost of a cap and the cost of 3 T-Shirts is $18.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the cost of a cap be represented by 'c', while the cost of a t-shirt is represented by t.
Given that 2 similar caps cost as much as 3 similar T-shirts. Therefore, the equation can be written as,
2c = 3t
Solve the equation for c,
c = (3/2)t....... equation 1
Now, it is also given that 4 such caps and 3 such T-shirts cost $36.60. Therefore, the equation can be written as,
4c + 3t = 36
Substitute the value of c from equation 1,
4(3/2)t + 3t = $36
6t + 3t = $36
9t = $36
t = $4
Now, substitute the value of t in the equation to get the value of c,
c = (3/2)t
c = (3/2) × $4
c = $6
Further, the cost of a cap, and the cost of 3 T-Shirts is,
Total Cost = c + 3t
= $6 + 3($4)
= $6 + $12
= $18
Hence, the cost of a cap, and the cost of 3 T-Shirts is $18.
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The set S = {x\-4 Plz help ASAP
Answer:
[ - 4, 8 ]
Step-by-step explanation:
parenthesis ( ) is used when end values are not equal to x
brackets [ ] are used when the end values are equal to x
For - 4 ≤ x ≤ 8
Then x can equal both - 4 and 8 , so
[ - 4, 8 ] ← is the appropriate interval notation
12 1/4 + 11.14 =
[tex]12 \frac{1}{4} + 11.14[/tex]
Answer:
166.25
Step-by-step explanation:
12 1 /4 + 154
166 1/4
665/4 , 166.25
Hey there!
12 1/4 + 11.14
= 49/4 + 11.14
= 12.25 + 11.14
= 23.39 or 23 39/100
Answer: 23.39 or 23 39/100
Good luck on your assignment and enjoy your enjoy your day!
~Amphitrite1040:)
The length of a rectangle is 11cm more than the width. The perimeter is 90cm. Find the length and width of the rectangle.
Answer:
Length=22.5cm, Breadth=11.5cm
Step-by-step explanation:
Let length be l and width be w.
w+22=l
w+w+w+22+w+22=90
4w=90-22-22
=46
w=46 divided by 4
=11.5
l=11.5+11
=22.5
Hence,
Length of rectangle=22.5cm
Breadth of rectangle=11.5cm