Consider the figure above. Starting with the shape in the upper left, identify the figure that has been: -Translated only. -Rotated and translated. -Reflected about the x-axis.
Answers:
Figure a has been translated only (translated 9 units to the right)
Figure b has been reflected over the x axis
Figure c has been rotated and translated
=======================================
Explanation:
Pick on a point like (-7,4) and note how it moves 9 units to the right to get to (2,4). All points on the upper left figure follow this same translation rule. This rules in figure a.
Figure b is a result of reflecting over the x axis. The rule used is [tex](x,y) \to (x,-y)[/tex]. The x coordinate stays the same while the y coordinate flips from positive to negative. So for example, (-7,4) flips to (-7,-4)
Figure c is a combination of rotating and translating the original figure. It looks like a 90 counterclockwise rotation has been applied followed by a translation. The actual translation and rotation rules used will depend on how you define the center of rotation.
The figure which is rotated and translated correctly about the x-axis is figure a.
What is graph?The graph of a function f is that the set of ordered pairs, where\f(x)=y. within the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
How to form graph of function?We have been given four graphs of a function and first function has coordinates (-5,7) (-2,6) (-7,4) (-4,1) and that we must identify correct reflected graph.
The coordinates of a pure reflected graph are going to be (4,7) (2,4) (5,1) (7,6) which are the coordinates of figure a which is in first quadrant.
Hence the proper reflected graph of function having coordinates (-5,7) (-2,6) (-7,4) (-4,1) is that the graph of coordinates (4,7) (2,4) (5,1) (7,6).
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A toy company spends $1900 for factory expenses plus $11 per toy truck (t) to make each toy truck. The trucks (t) sell for $30 each. What is the equation in terms of (t).
Answer:
P(t) = 19t - 1900
Step-by-step explanation:
The factory expenses = $1900
Per toy expense = $11
The selling price of toy = $30
Now we have to convert it in the equation form. Use the below formula to convert these values in equation form.
Profit = Total revenue – total cost
Profit = TR – (variable cost + fixed cost)
Profit on truck = 30t – (11t + 1900)
Profit = 30t – 11t – 1900
P(t) = 19t - 1900
6x-9+4x=6-2x=4 this is solving for x
Steps to solve:
6x - 9 + 4x
~Combine like terms
(6x + 4x) - 9
~Simplify
10x - 9
Best of Luck!
Andrew went to the store with $200.00. He bought 2 pair of shorts for $25.00 each, he bought 3 shirts for $22.00 each, and he bought a pair of jeans for $25. How much money did he have left? Choose the correct solution.
Answer:
the answer is 59
Step-by-step explanation:
25×2=50
3×22=66
50+66=116
then you add 25 to 116=141
200-141=59
so he had left 59 dollars at the end
What is the value of the expression below when w=2w=2? 8w+10
Answer:
The answer is 26.
Step-by-step explanation:
When you place the 2 next to the 8 you have to multiply it and then add the 10 to get the answer for the equation which is 26. Put it all in the calculator will be easier by putting it like this 8*2+10.
I hope this helps!
Answer:
Step-by-step explanation:
8w^2 +8w+9
8w
2
+8w+9
\color{dodgerblue}{w}=\color{dodgerblue}{2}
w=2
Given
8(\color{dodgerblue}{2})^2 +8(\color{dodgerblue}{2})+9
8(2)
2
+8(2)+9
Substitute \color{dodgerblue}{2}2 for \color{dodgerblue}{w}w
8(4) +8(\color{dodgerblue}{2})+9
8(4)+8(2)+9
Deal with exponent
32 +8(\color{dodgerblue}{2})+9
32+8(2)+9
Multiply
32 +16+9
32+16+9
Multiply
57
57
Add
Your Solution:
57
57
Help............................
Answer:
0
Step-by-step explanation:
Degree of a term is known as the power of the variable. As the constant term has no variable , the degree of the constant term is 0.
Here 7 is a constant term. As 7 doesn't have any variable , it can be also written as:-[tex]7 = 7x^0[/tex]
And here the power of [tex]x^0\\[/tex] is 0 , so the degree is 0.
Eddie Foster packs and seals pens at rate of $0.235 per pack. At the end of his eight-hour
shift, Foster has packed and sealed 480 packs of pens. How much did he earn?
Answer:
$112.80
Step-by-step explanation:
If he earns $0.235 per pack, and there are 480 packs, then our equation is:
0.235 x 480 = $112.80
The amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8
What is unitary method?
The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.
According to the given question.
Amount of money charged by Eddie for packing and sealing a pack of pens = $0.235
Therefore,
The amount of money charged by Eddie for packing and sealing packs of 480 pens
= 480 × $0.235
= $112.8
Hence, the amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8
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Seven times the quantity of a number increased by four
Answer:
7x + 4
Step-by-step explanation:
You just need to read the question carefully
PLEASE HELP!! I worked it out and haven’t found the right answer
Answer:
option B is correct. Once have a look to this solution that I have answered
What’s the answer ???
Answer:
2 Liters
Step-by-step explanation:
.25 liters=1/8 fish aquarium
.25x8=2
WILL MARK BRAINLIEST
Given a||b and c is not parallel to a or b which statement must be true?
(Picture)
Answer:
m4=m8
Step-by-step explanation:
Answer:
I took the test g
Step-by-step explanation:
m 2=7 and m 4=8
The function f(x) = |x| is graphed over the interval [−6, 3].
Which translation of the graph has the domain [−3, 6]?
Answer: g(x)=lx-3l
Step-by-step explanation:
g(x) = |x − 3| is the translation of the graph has the domain [−3, 6]. Therefore, option D is the correct answer.
Given that, the function f(x) = |x| is graphed over the interval [−6, 3].
We need to find which translation of the graph has the domain [−3, 6].
What is a domain?The domain of a function is the set of all possible inputs for the function.
g(x) = |x − 3| graph has the domain [−3, 6].
Therefore, option D is the correct answer.
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HELP!!!!!!! The square in the middle has an area of 1 square unit. What is the area of the entire rectangle in square units? Explain your reasoning.
Answer:
4 square units
Step-by-step explanation:
If you draw a vertical line down the middle of the square, you divide it into two triangles that are congruent to the smaller triangles shown in the figure. Hence each of those triangles has an area of 1/2 square unit.
After you have divided the square as above, you see that two smaller triangles are identical in area to the larger triangles. So, each of those has an area of 2(1/2) = 1 square unit.
Then the total of areas is ...
2 small triangles + square + 2 large triangles = 2(1/2) + 1 + 2(1) = 4
The area of the rectangle is 4 square units.
In 2003 the population of an African country was about 15 million people which is 1 million more than four times the population in 1950 enter in so many equation to find the approximate population P ( in millions) in 1950
Answer:
3,500,000
Step-by-step explanation:
1. 15,000,000 - 1,000,000 = 14,000,000
2. 14,000,000 divided by 4 = 3,500,000
Hopefully this helps you:)
what is 30 + 8h = 50 + 6h
Answer:
h=10
Step-by-step explanation:
30 + 8h = 50 + 6h
8h-6h=50-30
2h=20
h=10
Answer:
Answer:
h=10
Step-by-step explanation:
Step-by-step explanation:
30 + 8h = 50 + 6h
8h-6h=50-30
2h=20
h=10
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m AB =64° and ABC=73° , mACB=.......° and mAC=....°
Inscribed angles are formed when two chords have 1 common endpoint. The measure of [tex]\angle ACB[/tex] and [tex]\overset{\huge\frown}{AC}[/tex] are:
[tex]\angle ACB = 32^o[/tex]
[tex]\overset{\huge\frown}{AC} = 146^o[/tex]
Given that:
[tex]\overset{\huge\frown}{AB} = 64^o[/tex]
[tex]\angle ABC = 73^o[/tex]
See attachment
First, we calculate [tex]\angle ACB[/tex] using:
[tex]\angle ACB = \frac{1}{2} \times \overset{\huge\frown}{AB}[/tex] ----- An inscribed angle is half the arc it intercepts
So, we have:
[tex]\angle ACB = \frac{1}{2} \times 64^o[/tex]
[tex]\angle ACB = 32^o[/tex]
Using the same theorem, we calculate [tex]\overset{\huge\frown}{AC}[/tex] as follows:
[tex]\angle ABC = \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]
So, we have:
[tex]73^o = \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]
Multiply both sides by 2
[tex]2 \times 73^o = 2 \times \frac{1}{2} \times \overset{\huge\frown}{AC}[/tex]
[tex]2 \times 73^o =\overset{\huge\frown}{AC}[/tex]
[tex]146^o =\overset{\huge\frown}{AC}[/tex]
Hence:
[tex]\overset{\huge\frown}{AC} = 146^o[/tex]
Read more about inscribed angles at:
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Answer:
your correct answers are 32 and 146
Step-by-step explanation:
to get 32, divide 64 by 1/2
To get 146, multiply 73 by 2
Hope I helped, got it right on test:)
How many eight-digit numbers can be formed if the leading digit cannot be zero and the last number cannot be 1 ?
Answer:
128 unique numbers
Step-by-step explanation:
Since only 0 and 1 are to be used, an 8 digit number will have a leading 1. The rest 7 places are free to be either 0 or 1
if AE=4 how long is the corresponding distance in the second figure?
Seeting up a porportion gives us,
[tex]\frac{15}{6}= \frac{x}{4}[/tex]
60=6x
10=x
HL=10
Why do you need to apply a force in order to get the box to move
Answer:
The reason one must apply a force to a box in order for the box to move is to overcome the friction generated by the box against the plane the box is sitting.
The box at rest has zero friction against the surface on which it sits. Once a force is applied, a box's movement is resisted by the friction created from contact with the surface.
In order for the box to move, one must generate more force than is being generated by the friction of the surface onto the box, allowing the box to move.
Cheers.
india experienced a golden age under the gupta empire. which statement describes this period?
Which of the following explains the relationship between angles a and b? Lines JK and JM intersect at point J, creating four angles identified as angle B, angle D, angle C, and angle a clockwise from the top right. Adjacent angles, corresponding notes, Complementary angles or vertival angles
The answer is Adjacent angles.
Answer:
The answer is A: Adjacent angles.
Step-by-step explanation:
I know this cause I'm taking the test.
Jenny says the formula for finding the area of a triangle is . Chris says the formula for finding the area of a triangle is . Who is correct?
Answer:
A= (1/2)b*hStep-by-step explanation:
The question is incomplete, the question does not state the claims of both Jenny and Chris.
though we can still move on to answer as the area of a triangle is expressed as
Area= half base time hight (pronounced)
and stated mathematically as
A= (1/2)b*h
the ideal of the area of a triangle is taken from the area of the rectangle divided into two from the diagonal to form two triangles
the area of a rectangle (shown in the attachment ) = b*h
now since the rectangle consists of two half triangle,
one triangle will have its area to be half the area of the rectangle
hence
area of the rectangle = (1/2)b*h
kindly find the attachment for your reference
[tex]3x + 4(x + 1) = x + 2(x + 3)[/tex]
I keep trying this and get it wrong each time Helpp!!!
Felix reported that the coldest day on record for his town was five times colder than yesterday, -4 c . What is the temperature of the coldest day on Felix town
Answer:
Coldest day on record = -20°C
Step-by-step explanation:
Given:
Yesterday temperature = -4°C
Coldest day on record = 5 times than yesterday
Find:
Coldest day on record
Computation:
Coldest day on record = 5 × Yesterday temperature
Coldest day on record = 5 × (-4)
Coldest day on record = -20°C
if f(x) = x - 2, what is f(-1)?
Answer:
-f
Step-by-step explanation:
Point
A
Astart color #6495ed, A, end color #6495ed is at
(
3
,
4
)
(3,4)start color #6495ed, left parenthesis, 3, comma, 4, right parenthesis, end color #6495ed and point
M
Mstart color #9d38bd, M, end color #9d38bd is at
(
5.5
,
0
)
(5.5,0)start color #9d38bd, left parenthesis, 5, point, 5, comma, 0, right parenthesis, end color #9d38bd.
Point
M
Mstart color #9d38bd, M, end color #9d38bd is the midpoint of point
A
Astart color #6495ed, A, end color #6495ed and point
B
Bstart color #28ae7b, B, end color #28ae7b.
Your question is poorly formatted; However, the correct question is:
Point A ( 3 , 4 ) and point M (5.5,0) is the midpoint of point A and point B. Determine the coordinates of B
Answer:
The coordinates of B is (8,-4)
Step-by-step explanation:
Given
Point A ( 3 , 4 )
Point M (5.5,0)
Required
Determine B
Since, M is the midpoint;
We'll solve this question using the following formula;
[tex]M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]
Where [tex](x,y) = (5.5,0)[/tex] and [tex](x_1,y_1) = (3,4)[/tex]
Substitute values for x, y, x1 and y1 in the above formula;
This gives
[tex](5.5,0) = (\frac{3 + x_2}{2},\frac{4 + y_2}{2})[/tex]
By direct comparison, we have
[tex]5.5 = \frac{3 + x_2}{2}[/tex] and [tex]0 = \frac{4 + y_2}{2}[/tex]
Solving [tex]5.5 = \frac{3 + x_2}{2}[/tex]
Multiply both sides by 2
[tex]11 = 3 +x_2[/tex]
Subtract 3 from both sides
[tex]11- 3 = x_2[/tex]
[tex]x_2 = 8[/tex]
Solving [tex]0 = \frac{4 + y_2}{2}[/tex]
Multiply both sides by 2
[tex]0 = 4 + y_2[/tex]
Subtract 4 from both sides
[tex]0 - 4 = y_2[/tex]
[tex]y_2 = -4[/tex]
Hence;
The coordinates of B is (8,-4)
Answer:
(8,-4)
I think it's right
What is the equation of the graph below?
Answer:
A
Step-by-step explanation:
Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet. Which statement about the amount of the tiles is correct?
This question is not complete
Complete Question
Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet. Which statement about the amount of tiles is correct?
a) Kerrie estimated correctly by rounding down. She has enough tile. The exact area is 104.5 square feet.
b) Kerrie estimated correctly by rounding up. She has enough tile. The exact area is 104.5 square feet.
c) Kerrie did not estimate correctly by rounding up. She does not have enough tile. The exact area is 104.5 square feet.
d) Kerrie did not estimate correctly by rounding down. She does not have enough tile. The exact area is 104.5 square feet.
Answer:
a) Kerrie estimated correctly by rounding down. She has enough tile. The exact area is 104.5 square feet.
Step-by-step explanation:
In mathematics we have what is defined as rounding up and rounding down.
Rounding up of numbers is when the number you want to round up is followed by number from 5 to 9(5, 6, 7, 8, 9)
E.g. 2.5 rounded up to the nearest whole number = 3
Rounding down of numbers is when the number you want to round up is followed by number from 1 to 4(1, 2, 3, 4)
E.g. 2.4 rounded down = 2
We are told in the question
Kerrie is tiling the floor of a kitchen. The kitchen floor measures 11.3 feet by 9.25 feet. She orders enough tiles for 99 square feet.
Kitchen floor is rectangular = Area = Length × Width
= 11.3 × 9.25 feet
= 104.525 square feet
We are told that Kerrie ordered for 99 square tiles.
But looking at the decimal, the number after the decimal are between 1 and 4.
Hence, she would be rounding down.
If Kerrie rounds down to the nearest whole number
11.3 feet = 11 feet
9.25 feet = 9 feet
Finding the area = 11 feet × 9 feet
= 99 square feet
Therefore, the correct statement = option a) Kerrie estimated correctly by rounding down. She has enough tile. The exact area is 104.5 square feet.
Answer:
104.05
Step-by-step explanation:
PLZ HELP!!!
which of the following functions is graphed below
(look at picture above)
Answer:
The answer is A.
how to solve 4/3 + 5/4
Answer:
Step-by-step explanation:
First, you need to get a common denominator.
You can do this by multiplying each fraction by 3 or 4.
See,
4/3 * 4/4=16/12
5/4 * 3/3=15/12
16+15=31
31/12
Answer:
2(7/12)
Step-by-step explanation:
First, try to match the denominators.
4/3+5/4
To match the denominators, multiply them with each other.If the denominator multiplys with each other, the numerator also have to multiply too.
=[tex]\frac{(4*4)}{(3*4)} +\frac{(5*3)}{(4*3)}[/tex]
= [tex]\frac{16}{12} +\frac{15}{12}[/tex]
= [tex]\frac{16+15}{12}[/tex]
= [tex]\frac{31}{12}[/tex] (If you want it as a improper fraction, you can stop here)But normally we continue till we get a mixed number if we get a improper fraction.
So 31/12 equals to 2(7/12) as a mixed number