Answer:
In quadrilateral ABCD, A = (0, 0), B = (3, 2), C = (4, −2), and D = (3, −3). Describe the image of ABCD under the translation T<−4, 2> by dragging and dropping the vertices of ABCD to the corresponding vertices of T<−4, 2>(ABCD).
Step-by-step explanation:
The image of ABCD is formed by points [tex]A'(x,y) = (-4, 2)[/tex], [tex]B'(x,y) = (-1, 4)[/tex], [tex]C'(x,y) = (0, 0)[/tex] and [tex]D'(x,y) = (-1, -1)[/tex].
Vectorially speaking, a translation is defined by the following formula:
[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.[tex]T(x,y)[/tex] - Translation vector.[tex]P'(x,y)[/tex] - Resulting point.If we know that [tex]A(x,y) = (0,0)[/tex], [tex]B(x,y) = (3, 2)[/tex], [tex]C(x,y) = (4, -2)[/tex], [tex]D(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-4,2)[/tex], then the resulting points of the rectangle are:
[tex]A'(x,y) = (0, 0) + (-4, 2)[/tex]
[tex]A'(x,y) = (-4, 2)[/tex]
[tex]B'(x,y) = (3, 2) + (-4,2)[/tex]
[tex]B'(x,y) = (-1, 4)[/tex]
[tex]C'(x,y) = (4,-2) + (-4, 2)[/tex]
[tex]C'(x,y) = (0, 0)[/tex]
[tex]D'(x,y) = (3, -3) + (-4, 2)[/tex]
[tex]D'(x,y) = (-1, -1)[/tex]
The image of ABCD is formed by points [tex]A'(x,y) = (-4, 2)[/tex], [tex]B'(x,y) = (-1, 4)[/tex], [tex]C'(x,y) = (0, 0)[/tex] and [tex]D'(x,y) = (-1, -1)[/tex].
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Ou are a manager at Jimmy John's and have timed how fast your employees make a sandwich. Their times in seconds are below. Create a histogramto represent the data. 21,22.4,23,24.8,25.3,27,27.6,28.8,29.4,29.9,30.1,30.1,30.4,31.2,32,32.9
Answer:
See attachment for histogram
Step-by-step explanation:
Given
[tex]Data: 21,22.4,23,24.8,25.3,27,27.6,28.8,29.4,29.9,30.1,30.1,30.4,31.2,32,32.9[/tex]
Required
Represent on histogram
Calculate the range of the data
[tex]Range = 32.9 - 21[/tex]
[tex]Range = 11.9[/tex]
Using a width of 5, we have:
[tex]Class = \frac{Range}{5}[/tex]
[tex]Class = \frac{11.9}{5}[/tex]
[tex]Class =2.38[/tex]
Round up
[tex]Class = 3[/tex]
This means that the class will have 3 classes which are:
21.0 - 24.9, 25.0 - 29.9 and 30.0 - 34.9
The frequency table is as follows:
[tex]\begin{array}{cc}{Interval} & {Frequency}&{21.0 - 24.9} & {4} & {25.0 - 29.9} & {6} & {30.0 - 34.9} & {6} \ \end{array}[/tex]
See attachment for histogram
The figures are similar. Find the area of the smaller rectangle. GIVING BRAINLY!!
Answer:
4 in^2
Step-by-step explanation:
The rate is 1:5
n-10+9n-3 step by step
Answer:
10n−13
Step-by-step explanation:
Let's simplify step-by-step.
n−10+9n−3
=n+−10+9n+−3
Combine Like Terms:
=n+−10+9n+−3
=(n+9n)+(−10+−3)
=10n+−13
question number four pls help I will mark brainiest
4. The Bulldog Theater charges $9.10 for each adult ticket and $7.75 for each student ticket. Mrs. Williams purchased 7 tickets (some students and some adult) for $56.95. Which system of equations could be used to find a, the number of adult tickets, and s, the number of student tickets purchased?
Answer:
Two adult tickets and 5 student tickets
Step-by-step explanation:
Let a=adult tickets Let s=student tickets
You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95
a+s=7.
Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.
Hope this helps
Karla has spent $39 on food. She bought milk, cheese, and meat. The milk cost half as much as the cheese and the meat cost four times as much as the cheese. Which equation would help you find the cost of the cheese?
Let c = the amount spent on cheese
Click on the correct answer:
1)C+ 4c/5c=39
2)C+2c + 4c = 39
3)C+.5c + 4c = 39
4)C(.5c+ 4c) = 39
This is part of "Using Linear Equations to Solve Problems:Application" on Edmentum.
Answer:
i think the answer is 3)C+.5c + 4c = 39
Step-by-step explanation:
What is the volume of the rectangular prism below? Use the formula V = lwh. 4 ft 4 ft 8 ft
Answer:
V=128
Step-by-step explanation:
Answer:
V =128ft^3
Step-by-step explanation:
V=lwh=4*4*8=128
The probability Bob guesses the winner of a certain baseball game is 4/5. The probability Joe independently guesses the winner of another game is 1/3. What is the probability that exactly one of them selects the winner? (Fraction answer)
SANA ALL SMART HAHAHAHHAAHHAHAAHA
What does the point (2, 12) represent?
Answer:
That a sloth will walk 12 feet in 2 minutes
Step-by-step explanation:
I need help please!!!!
Answer:
y = x + 3
Step-by-step explanation:
If x = 2 and y = 6 , evaluate the following expression: 2 ( x + y )
Answer:
Step-by-step explanation:
If x = 2 and y =6
Then
2 ( x+ y)
= 2 ( 2 + 6)
= 2 * 8
= 16
hope it helps :)
Answer:
16
Step-by-step explanation:
you will do 2 + 6 = 8
so it = 8
x=2
y=6
and than u will 8 x 2 = 16
the answer is = 16
Use the relationship between quantities to calculate the
missing values in the table
A =
B =
HELP ME PLEASE ILL DO ANYTHING
Answer:
Step-by-step explanation:
Photo Proof
The missing value should be in the table is 750 and 1250.
Calculation of the missing value:Minutes Words
1 250
2 500
3 750
4 1000
5 1250
Since we can see that there is the gap of 250 in each words
like
= 250 + 250
= 500
So
= 500 + 250
= 750
And, so on
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Subtract 11/14-2/7?Make sure your answer is fully reduced.
Answer:
1/2
Step-by-step explanation:
turn 2/7 into 4/14 then subtract that from 11/14 and you get 7/14 and the also can go as 1/2
Solve for t. You must write your answer in fully simplified form.
−19= 7t
Answer: dot know srry
Step-by-step explanation:
I need help. Do not post a link to a site!
Find the value of each variable.
Answer:
the answer is x=45⁰ y=45⁰
may I help you
csc pi/3 exact value ?
Answer:
Exact Form:
2√3/3
Decimal Form:
1.15470053
Step-by-step explanation:
Multiply
2√3
and
√3√3.2√3√
3
√
3
Raise
√
3
to the power of
1
.
2
√
3
√
3
1
√
3
Raise
√
3
to the power of
1
.
2
√
3
√
3
1
√
3
1
Use the power rule
a
m
a
n
=
a
m
+
n
to combine exponents.
2
√
3
√
3
1
+
1
Add
1
and
1
.
2
√
3
√
3
2
Rewrite
√
3
2
as
3
.
Tap for fewer steps...
Rewrite
√
3
as
3
1
2
.
2
√
3
(
3
1
2
)
2
Apply the power rule and multiply exponents,
(
a
m
)
n
=
a
m
n
.
2
√
3
3
1
2
⋅
2
Combine
1
2
and
2
.
2
√
3
3
2
2
Cancel the common factor of
2
.
Cancel the common factor.
2
√
3
3
2
2
Divide
1
by
1
.
2
√
3
3
1
Evaluate the exponent.
2
√
3
3
If a train goes 20 km east then it turns and travels 43 km north then it goes 20 km west then travels south in an unknown number of kilometers and at the end there back in the original location how far did the train travel south
Answer:
Answer is 43 km.
Step-by-step explanation:
Let's draw diagram to solve the problem.
The first three terms of an arithmetic sequence are as follows.
37, 29,21
Find the next two terms of this sequence.
Answer:
13, 5
Step-by-step explanation:
First, we find the common difference.
d = 29 - 37 = -8
Now we add -8 to the last term to find the next term.
21 + (-8) = 13
13 + (-8) = 5
Answer: 13, 5
the three steps shown below were used to find an expression equivalent
Answer:
You forgot to fully write the question
Step-by-step explanation:
(灬 º‿º 灬) ♡
A hose fills a 10,000-gallon swimming pool at a rate of 10 gallons per minute. what is the domain and range?
Answer:
Domain: 0 minutes to time it takes to fill. Range: 0 to a 10,000 gallons
Step-by-step explanation:
The domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.
It is given that a hose fills 10000 gallon swimming pool at rate of 10 gallons per minute.
We have to find the domain and range.
What do you mean by domain and range ?
The domain is the set of all values for which the function is defined and the range of the function is the set of all values that function takes.
As per the question ;
Capacity of swimming pool = 10000 gallons
Rate of filling = 10 gallons per minute
So ;
Time taken in filling the swimming pool will be ;
= 10000 / 10
= 1000 minutes
So ;
The domain will be from 0 to 1000 minutes i.e., time taken to fill the swimming pool.
Whereas ;
The range will be from 0 to 10000 gallons i.e., amount of swimming pool filled.
Thus , the domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.
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Translate five units left and four units down (geometry)
Answer:
Step-by-step explanation:
what’s the answer? (picture)
Hester sells televisions. She earns a fixed amount for each television and an additional $15 if the buyer gets an extended warranty. If Hester sells 15 televisions with extended warranties, she earns $1,275. How much is the fixed amount Hester earns for each television?
Answer: [tex]\$ 70[/tex]
Step-by-step explanation:
Given
Hester get a fixed amount and an additional $15 for an extended warranty
Suppose x is the amount of fixed amount
for 15 television sale, the price is $1275
Thus, we can write
[tex]\Rightarrow 15(x+15)=1275\\\Rightarrow x+15=85\\\Rightarrow x=\$70[/tex]
Therefore, the fixed amount of television is [tex]\$70[/tex]
Marcus mows lawns for his summer job. He earns $15 per lawn. If he earned $75 dollars during the week, how many lawns did he mow?
Draw the graph of the equation
g(x) = -3x +2.
You can refer to the section "Drawing Graphs in Mobius" in the unit "Introduction to
Mobius" for
practice in drawing graphs of lines in Mobius.
Part a: Find one point on the line. Often it's smart to start with the value x = 0 because multiplying by
and adding 0 are easy. In other words, find the y-intercept.
The point (0, Number ) is on the line g(x) = -3x + 2.
Part b: Find a second point on the line. Often it's easier to continue with the value x = 1 as multiplying
by and adding 1 are pretty easy.
The point (1, Number ) is on the line g(x) = -3x +2.
Use DESMOS to graph any function online.
The picture shows the graph of g(x) = -3x + 2.
The area of a circle having radius 14 cm is
cm.
Use *
22
7
Answer:
A=616cm²
Step-by-step explanation:
The question says to use
[tex] \frac{22}{7} [/tex]
for pi, now that we know that we proceed like normal and do the formula like this.
[tex] \frac{22}{7} {r}^{2} \\\frac{22}{7} \times 196 \\ = 616[/tex]
The Smiths want to fence their square garden, which has an area of 289 square feet. What would be the minimum amount of fencing needed to complete the project? A) 68 feet of fencing B) 17 square feet of fencing C) 289 feet of fencing D) 17 feet of fencing
Answer:
68 feets of fencing
Step-by-step explanation:
Given that:
Area of square garden = 289 ft²
The side length of square garden can be obtained thus :
Area of a square = s²
Where s = side length
s² = 289
s = sqrt(289)
s = 17
Perimeter of square garden : 4s
Perimeter = 4* 17 = 68 feets
if the sum of the interior angles of a polygon is 2340, how many sides does the polygon have?
Answer:
15
Step-by-step explanation:
Where n represent no.of sides
(2n-4)90=2340
180n-360=2340
180n=2340+360
180n=2700
n=15
Which expression is equivalent to √148
A. 12
B. 12√4
C. 14
D, 2√37
Answer:
D
Step-by-step explanation:
You put square roots of 148 in the calculator than it will give you the answer
Answer:
D) 2√37
Step-by-step explanation:
√148 = √4x37 = 2√37
Given the following polygon, find the sum of the interior angles and the value of x,
pls help
Answer:
sum of interior angles - 540
x = 112
Step-by-step explanation:
Hello There!
Geometry
The sum of the interior angles can be found using this formula
let x = sum of interior angles and n = number of sides
x = ( n - 2 ) * 180
there are 5 sides so we plug in 5 to n
5 - 2 = 3
3 * 180 = 540 so the sum of the interior angles is 540
Now to solve for x
Remember the sum of the interior angles is 540 so we use this equation to solve for x
Simple Algebra
540 = x + 118 + 105 + 75 + 130
step 1 combine like terms
118 + 105 + 75 + 130 = 428
now we have 540 = 428 + x
step 2 subtract 428 from each side
540 - 428 = 112
we're left with x = 112