Transformation involve moving a point away from its original location.
The vertices of the pre-image are (–1, 0) and (–1, –5).
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
The rule is given;
[tex]r_{y = x} T_{4,0(x,y)}[/tex]
The rule means that
ABCD was translated by 4 units to the right, then reflected over line y = x,
The rule of right translation by 4 units,
(x, y) --- (x+4, y)
The rule of reflection over,
(x, y) --- ( y, x+ 4)
The coordinates of A"B"C"D" are: (-4, 5), (-1, 5), (0, 3), (-5, 3).
Hence, the vertices of the pre-image are (–1, 0) and (–1, –5).
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what is perpendicular to -96/17
Answer:
[tex]\frac{17}{96}[/tex]
Step-by-step explanation:
Given m = - [tex]\frac{96}{17}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{96}{17} }[/tex] = [tex]\frac{17}{96}[/tex]
A rectangle with a length of 2 w and width of w. An equilateral triangle with side lengths of w + 8. The perimeters of a rectangle and an equilateral triangle are equal. What is the equation for this scenario? rectangle’s perimeter: equilateral triangle’s perimeter: scenario’s equation:
Answer:
rectangles perimeter: 6w
equilateral triangles perimeter: 3w+24
scenario’s equation: 6w=3w+24
Step-by-step explanation:
w=8
rectangles perimeter= 48
EQUTRI perimeter= 48
Answer:
1st part: 3rd option
2nd part: 4th option
3rd part: 4th option
Step-by-step explanation:
Which expression represents the rectangle’s perimeter?
2(2w-6)+2(w)
Which expression represents the triangle’s perimeter?
3(w+8)
What is the perimeter of both polygons?
60 units
One letter weights 12 ounces.The mail carrier is allowed to carry 30 pounds.How many letters can he carry?
Answer:
The mail carrier can carry 40 letters.
Step-by-step explanation:
The first step is to put ounces into pounds.
1 lb = 16 oz This is the unit rate
0.75 lbs = 12 oz
Now put the 30 lbs into ounces
30 lbs = 480 oz
Divide 480 oz by 12 oz to find how many letters equal 480 oz.
480/12 = 40 letters
If this answer is correct, please make me Brainliest!
Answer:
Hi! I am late but its 40 oz
Step-by-step explanation:
Find the volume of the pool shown. It consists of two prisms.
A.
1,765 feet cubed
C.
1,620 feet cubed
B.
1,234 feet cubed
D.
1,985 feet cubed
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,228 was collected on the
sale of 1,340 tickets. How many of each type of ticket were sold?
Answer:
Okay, so 2 years later, here's your answer.
472 adult tickets and 868 student tickets were sold.
Step-by-step explanation:
Let x be the number of adult tickets sold.
Let y be the number of student tickets sold.
Your Equations:
x + y = 1340 tickets
5x + (1)y = $3228
Isolate the y variable:
y = 1340 - x
y = 3228 - 5x
Substitute:
1340 - x = 3228 - 5x
Solve:
1340 - x = 3228 - 5x
Add 5x on both sides
1340 + 4x = 3228
Subtract 1340 on both sides
4x = 1888
Divide 4 on both sides
x = 472
Plug in x into an equation:
472 + y = 1340
Subtract 472 on both sides
y = 868
472 adult tickets were sold
868 student tickets were sold.
Voted myself a 1-star XD
Sarah’s stands on a ground and sights the top of a steep Clift at a 60 degree angle of elevation she then steps back 50 meters then sights the top of the steep cliff at a 30 degree angle if Sarah is 1.8 meters tall how tall is the cliff to the nearest meter ?
Answer:
Cliff is 45 m tall.
Step-by-step explanation:
Given:
Height of Sarah = 1.8 m
Angle of elevation = 60°
Angle of elevation 50 m back = 30°
As shown in the figure we have two right angled triangles SPQ and SPR.
Let the height of the cliff be [tex]h[/tex] meters and [tex]h= h_1+h_s[/tex].
Using trigonometric ratios:
tan (Ф) = opposite/adjacent
In ΔSPQ. In ΔSPR.
⇒ [tex]tan(60) = \frac{h_1}{x}[/tex] ...equation (i) ⇒ [tex]tan (30)=\frac{h_1}{x+50}[/tex] ...equation (ii)
Dividing equation (i) and (ii)
⇒ [tex]\frac{tan(60)}{tan(30)} = \frac{h_1}{x} \times \frac{x+50}{h_1}[/tex]
⇒ [tex]3 = \frac{x+50}{x}[/tex]
⇒ [tex]3x=x+50[/tex]
⇒ [tex]3x-x=50[/tex]
⇒ [tex]2x=50[/tex]
⇒ [tex]x=\frac{50}{2}[/tex]
⇒ [tex]x=25[/tex] meters
To find [tex]h_1[/tex] plugging [tex]x=25[/tex] in equation (i)
⇒ [tex]h_1=x\times tan(60)[/tex]
⇒ [tex]h_1=25\times 1.73[/tex]
⇒ [tex]h_1=43.25[/tex] meters
The height of the cliff from ground :
⇒ [tex]h= h_1+h_s[/tex]
⇒ [tex]h= 43.25+1.8[/tex]
⇒ [tex]h=45.05[/tex] meters
The cliff is 45 m tall to the nearest meter.
A pole 6m high has a shadow 10 m long when the shadow of a nearby building is 220 m long. How tall is the building?
Which ratio is equal to the ratio of the height of the building to its shadow?
By using the similar triangles principle, the height of the building is found to be 132 meters. We find this by setting up a proportion between the known ratios of the pole's height to its shadow and solving for the building's height.
Explanation:We can solve the problem using similar triangles. The ratio of the height of the pole to its shadow is the same as the ratio of the height of the building to its shadow. Since the height of the pole is 6m and its shadow is 10m, we have the ratio of the height to the shadow for the pole as 6/10 or 3/5.
This ratio will be equal to the ratio of the height of the building (which we'll call h) to the shadow of the building (220 m), so we can write the proportion as:
3/5 = h/220
Now we solve for h:
3/220 = h/5
h = (3/5) × 220
h = (3 × 44)
h = 132m
So the height of the building is 132m.
The scale of a map is 1 inch : 9.5 miles.
a) The actual distance between Joseph's house and the airport is 24 miles. How far apart are Joseph's house and the airport on the map?
b) Joseph traveled from his house to the airport. He then traveled another 16 miles past the airport to a restaurant. How many inches on the map represent this distance?
c) Upload your work to show how you got to the answer.
PLEASE HELP, REALLY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2.526 in4.211 inStep-by-step explanation:
To find the number of inches, divide miles by 9.5.
__
a) 24 miles = (24 mi)×(1 in)/(9.5 mi) = (24/9.5) in ≈ 2.526 in
__
b) 24 miles + 16 miles = 40 miles = (40 mi)×(1 in)/(9.5 mi) = 40/9.5 in ≈ 4.211 in
_____
Comment on units conversion
I find it convenient to work units conversion problems by writing a fraction that is equal to 1 and multiplying by that to change units. My fraction has the "to" units in the numerator, and the "from" units in the denominator. That way, the unwanted units cancel when the multiplication is carried out.
The fraction is equal to 1 because the measurement in the numerator is equal to the measurement in the denominator.
__
Some folks prefer proportions. If you do it that way, be sure "like" is matched with "like".
map inches/ground miles = 1/9.5 = x/24
route inches/scale inches = route miles/scale miles = x/1 = 24/9.5
Let G be the number (in billions) of new green tea sales. Let I be the number in billions)
of new fruit juice sales. During a 20-year period, G and I can be modeled by the following
equation, where t is the time in years).
G = 674 + 3t – 2t² + 5t + 60
J = 314 - 31 + 512 - 5t + 45
Find a new model A for the total number of new green tea and fruit juice sales.
The new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 1574 + 3t - 2t².
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that during a 20-year period, G and I can be modeled by the following equation (where t is the time in years) :
G = 674 + 3t – 2t² + 5t + 60
I = 314 - 31 + 512 - 5t + 45
where {G} is the number (in billions) of new green tea sales and {I} be the number in billions of new fruit juice sales.
A new model {A} for the total number of new green tea and fruit juice sales can be written as -
{A} = {G} + {I}
{A} = 674 + 3t – 2t² + 5t + 60 + 314 - 31 + 512 - 5t + 45
{A} = (674 + 60 + 314 - 31 + 512 + 45) + (3t + 5t - 5t) - 2t²
{A} = 1574 + 3t - 2t²
Therefore, the new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 1574 + 3t - 2t².
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Final answer:
To create a new model for the total sales of green tea and fruit juice, the sales equations for both products are added together and simplified, resulting in the model A = 3t² + 1093, representing combined sales in billions as a function of time in years.
Explanation:
To find a new model A for the total number of new green tea and fruit juice sales, we need to combine the models given for G (green tea sales) and J (fruit juice sales). The models provided had some errors, but they should be:
G = 674 + 3t – 2t² + 5t + 60
and
J = 314 – 3t + 5t² – 5t + 45
Combining these models to form A (total sales), we add G and J together:
A = G + J
= (674 + 3t – 2t² + 5t + 60) + (314 – 3t + 5t² – 5t + 45)
Now, we simplify the equation by combining like terms:
A = (674 + 314) + (3t – 3t) + (5t – 5t) – 2t² + 5t² + (60 + 45)
A = 988 + 0t + 0t + 3t² + 105
A = 988 + 3t² + 105
A = 3t² + 1093
Therefore, the new model A for the total sales is A = 3t² + 1093. This model represents the combined sales of green tea and fruit juice in billions of dollars during the 20-year period as a function of time t in years.
This set of ordered pairs is a function (22, 4), (21, 1), (0, 0), (1, 1), and (2, 4).
Please explain like you were teaching how you can know this is a function.
Answer:
Step-by-step explanation:
You know these ordered pairs are considered a function, because the x intercepts do not repeat themselves. In other words, each input numbers are different. If these ordered pairs were not a function, the x intercept would be repeating. For example, 22 is already a x intercept, (22,4), if 22 was put in as another x intercept like,(22,1) these ordered pairs would not be a function.
How can you use the Pythagorean Theorem to solve real-world problems?
You can use the Pythagorean Theorem to find missing ________ (angles or lengths) in objects that are_________. ( squares, right triangles, or equilateral Triangles)
You can use the Pythagorean Theorem to find missing lengths in objects that are right triangles.
What is Pythagorean Theorem?The Pythagorean Theorem is a mathematical principle that relates to right triangles. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
You can use the Pythagorean Theorem to find missing lengths in objects that are right triangles.
The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
By rearranging the formula, you can solve for the missing length when given the lengths of the other two sides.
This can be applied to real-world problems involving measurements of objects or distances, such as determining the length of a ladder needed to reach a certain height on a wall or calculating the distance between two points on a map.
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What is the volume of this container ?
Answer:
1875 cm>3 i think
Step-by-step explanation:
Matthew bought a laptop for $34,000 in the year 2008. Its value depreciates by 4% per year. What is the
value of laptop in 2011?
The value of the laptop in 2011 will be $29920
Step-by-step explanation:
Cost of the laptop = $34000
Rate of decrease in value per year = 4%
Total time = 3 years
The Value decrease in 2011 = (34000 x 4 x 3) /100
= $4080
The value of the laptop in 2011 = 34000-4080
= $29920
The value of the laptop in 2011 will be $29920
Mary spent a total of $320.91 for a party. She spent $200.39 on food, plus an additional $30.13 for
each hour of the party. How long was the party?
A.. 3 hours
B.. 4 hours
C.. 5 hours
D.. 6 hours
Answer:
The party was 4 hours long.
Step-by-step explanation:
Subtract the total by the amount already known was spent directly.
320.91-200.39= 120.52
Now, in order to figure out how many hours the part was, take how much each hour and divide it by the remainder of money.
Thus, 120.52/30.13 = 4
All things put into consideration, The party was 4 hours long.
I hope this helped!!
~ Penny
Olivia works 3-hour shifts at the
library. She is paid $45 per shift.
What equation can be used to
represent the amount of money
Olivia earns, m, for working a
total of h hours?
Answer:
14 hours
antonio es gay
Step-by-step explanation:
Please help me...
1A cashier earns $8 per hour.
2.tomatoes cost $0.70 per pound
Please help me I would really appreciate it ty
Answer:
1) 2/16 | 4/32 | 5/40 | 9/72
2) 2/1.4 | 3/2.1 | 6/4.2 | 8/5.3
Step-by-step explanation:
4*8 is 32
40/8 is 5
72/8 is 9
2.1/.7 is 3
6*.7 is 4.2
8*.7 is 5.6
With the first chart all it is doing is going up by 8. So, take the time and multiply it by 8. An if you noticed the time is counting up by 2. So for the missing time just count up by 2.
For the second chart it is a little harder. The second box for the weight seems to be 3 and all you have to do for the price is take the top number and multiply it by 0.70 and you should get your answer!
Thank you for asking you question i enjoyed helping!
-MajorJax3
HELP PLEASE PLEASE :’(
The path of a shotput thrown is represented by the following parametric equations. Distance is measured in feet and time in seconds. Rewrite the parametric equations by eliminating the time parameter.
x(t)=23t
y(t)=5+19.3t-16t^2
a. y=5+444x-10,210x^2, x>or equal to 0
b. y=5+0.84x-0.70x^2, x>or equal to 0
c. y=5+444x-16x^2, x>or equal to 0
d. y=5+0.84x-0.03x^2, x>or equal to 0
Water is dripping out of a gutter onto a splash guard that follows the path represented by the parametric equations. Rewrite the parametric equations by eliminating the parameter.
x(t)=e^t
y(t)=2e^-t
a. y= 2/x, x>or equal to 0
b. y= 2/x, x>0
c. y= 2/(x^2), x>or equal to 0
d. y= 2/(x^2), x>0
Thanks!!!!!!
Practice:
1. A.
2. D. y=5+0.84x-0.03x^2, x>=0
3. B. y=2/x, x>0
Quiz:
1. A C E. (-4,4) (0,0) (6,9)
2. A. y=-1/3x+19/3
3. D. x=2y^2-1, y>=0
4. B. y=3/x^2, x>0
For the first parametric functions the cartisian function is y = 5+ 0.84x - 0.7x², and for the second parametric function the cartisian function is y = 2/x where x>0
What are parametric equations?A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.
For the first parametric functions:
[tex]\rm x(t)=23t \\\\y(t)=5+19.3t-16t^2[/tex]
[tex]\rm t = \dfrac{x}{23}[/tex]
Put this value in the y(t)
[tex]\rm y=5+19.3(\dfrac{x}{23})-16(\dfrac{x}{23})^2[/tex]
y = 5+ 0.84x - 0.7x²
For the second parametric functions
[tex]\rm x(t)=e^t .....(1)\\\\y(t)=2e^-^t[/tex]
Taking ln in equation (1)
lnx = t
Put this value in equation (2)
[tex]\rm y=2e^{-lnx}[/tex]
y = 2/x, x>0
Thus, for the first parametric functions the cartisian function is y = 5+ 0.84x - 0.7x², and for the second parametric function the cartisian function is y = 2/x where x>0
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The volume of one prism is known, along with the height For the two prisms to be congruent, what must the area
of another prism. The values are shown below.
of the base be, given that the triangular bases are
congruent?
3 in 2
6 in?
12 in 2
15 in 2
15 in.
V = 90 in 3
Answer:
6in2
Step-by-step explanation:
i`m doing the assignment.
Answer:
6in^2
Step-by-step explanation:
The answer is 6in^2, I just did the assignment on Ed$ge$nuity and I got it right.
There are 500 coffins and 500 hundred men who need them.The undertaker asks the first man to go to every coffin and open them,then he tells the 2nd man to go to every one and close it.The 3rd one goes to every 3rd coffin and so on.How many are open?
Answer:
22
Step-by-step explanation:
No coffin will be opened at the end of 500th man .
Given,
500 coffins and 500 hundred men
Here,
First man opens all the coffins, but the second man closes every second coffin, which means that the odd-numbered coffins are closed again.
Then, the third man goes to every third coffin and closes it, which means that the coffins that are multiples of 3 are closed again.
This pattern continues with each subsequent man, so by the time the 500th man goes to the coffins, all of them will be closed.
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1. The foot of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet
up on the wall, how long is the ladder?
Answer:
The answer is C
Step-by-step explanation:
32.15 is written correctly in EXPANDED FORM using FRACTIONS
Answer:
32.15 = (3 x 10) + (2 x 1) + (1/10) + (5/100)
Step-by-step explanation:
The explicit formula for the geometric sequence -1/9, 1/3, -1, 3, -9, ... is -1/9(-3)^x-1 . What is the common ratio and recursive formula for this sequence
Answer:
r=3[tex]\left\{\begin{array}{ccc}a_1=-\frac{1}{9}\\a_n=-3a_{n-1}\end{array}\right[/tex]Step-by-step explanation:
Given the sequence
[tex]-1/9, 1/3, -1, 3, -9, ...[/tex]
The common ratio is determined by the division of term by the previous term.
Common Ratio, [tex]r=\frac{1/3}{-1/9} =\frac{-1}{1/3} =\frac{3}{-1}=-3[/tex]
A recursive formula is a formula that defines each term of a sequence using preceding term(s).
For the given sequence, the recursive formula is:
[tex]\left\{\begin{array}{ccc}a_1=-\frac{1}{9}\\a_n=-3a_{n-1}\end{array}\right[/tex]
Answer:
−3; f(x + 1) = −3(f(x))
The answer is B.
Step-by-step explanation:
26)
Which expression demonstrates the distributive property applied to the expression 4(3 + 7)?
4 (7 + 3)
4 x 3 +7
4* (7 * 3)
4x3+4x7
Answer:
The answer is D.
Step-by-step explanation:
Distributive Property
4x3=12
4x7=28
28+12=40
A construction company charges $50, per square feet for building floors. How much will it cost to build a floor with radius 10 ft. use the dollars sign in your answer. Use π = 3.14
Answer:
$15700
Step-by-step explanation:
To find the cost, you multiply $50 by the area of the floor. The floor must be a circle ("radius"), so to find the area of a circle, use the formula[tex]A=\pi r^2 \\ A=\pi(10)^2 \\ A=(3.14)(100)=314\text{ square feet}[/tex]
Multiply 314 sq. ft. by the cost per sq. ft.
314 x 50 = 15700
Answer:
69
Step-by-step explanation:for the boys
Bill is planning to paint the back of his house. What is the total area that he will be painting?
Answer:
A- 462.86
Step-by-step explanation:
Thomas's room is 11.4 feet long. He wants to put up
a poster that takes up 0.25 of the length of a wall.
How long should his poster be?
Answer:
2.85 ft
Step-by-step explanation:
To find the length of the poster, take the length of the wall and multiply the the decimal length
11.4* .25
2.85
Find an equation equivalent to r = 5/1+cos(theta) in rectangular coordinates.
a. x^2=25-10y
b. y^2=10x-25
c. x^2=10y-25
d. y^2=25-10x
Please select the best answer from the choices provided
A
B
C
D
Final answer:
By applying polar to rectangular coordinates conversion formulas, the polar equation r = 5/(1+cos(θ)) is equivalent to the rectangular coordinate equation y² = 25 - 10x, which matches option D.
Explanation:
To convert the polar equation r = 5/(1+cos(θ)) to rectangular coordinates, we use the relationships between polar and rectangular coordinates: r = √x² + y² and cos(θ) = x/r. Substituting these into the given equation, we get:
r = √x² + y²;
cos(θ) = x/r;
r(1+cos(θ)) = 5;
r + r x/r = 5;
r + x = 5;
r = 5 - x;
Substitute back in for r, we get:
(√x² + y²) = 5 - x;
Squaring both sides gives us x² + y² = (5 - x)² which can be simplified to x² + y² = 25 - 10x + x². Canceling x² from both sides and reordering the terms gives us y² = 25 - 10x, which matches option D.
Sam is baking cakes at her parent’s bakery. She gets paid 20 a week in addition to 5 for every cake she bakes. She made 50 this week. Write an equation to show how many cakes Sam baked this week
Answer:
i think it is 20 + 5x = 50 or f(x)=2(3^x)
Step-by-step explanation:
equation to show how many cakes sam baked this week:
20 + 5x = 50
20 = 20 dollars
5 = 5 more dollars
x = number of cakes
therefore, sam earned $50 this week.
Answer:
20+5x=50
x will represent the number of cakes she baked
she gets paid $5 for every cake she bakes, this is where the 5x comes from
she makes $20 ("in addition" that's where the "+20" comes from) a week. However, in this case we're only talking about what she made in one week, hense why there is no variable attached to the 20
she makes a total of $50
20+5=50
she baked a total of 6 cakes. How?
subtract 20 from both sides so you have:
5x=30
divide both sides by 5 to get x by itself:
x=6
32 of the rabbits are Male.
9 of the female rabbits are black.
14 of the white rabbits are Male.
Answer:
(Male White Rabbits Count: 14) (Male Black Rabbits Count: 18) (Female White Rabbits Count: 0) (Female Black Rabbits Count: 9)
Step-by-step explanation:
In order to get this answer you have 9 rabbits that are black and 0 white rabbits. Then there is 32 male rabbits and 14 of them are white so you subtract 14 from 32 and the rest is black rabbits which is 18. Now you have all of your answers.
Answer:
for b) the answer is 7/48
this wasn't included in the last answer so here it is.
Step-by-step explanation:
white female rabbit number/the overall total
WILL MARK BRAINLIEST!!!!!!! NEED HELP FAST!!!!
Answer:
Darcy and Joe
Step-by-step explanation:
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------------
The answer is D; Darcy and Joe.
Everyone's area's:
Tess = 21.
Darcy = 24.
Meg = 25.
Joe = 24.