A polygon is graphed on a coordinate plane, with a vertex located at
a point represented by (x,y).
The polygon is dilated with a scale factor, a , with the origin as the
center of dilation. The dilated image of the polygon is larger than
the polygon.
Which statement is true?
Answers
Answer:
a is greater than 1
Step-by-step explanation:
Let the two polygons be represented as A and B.
Where A is the original polygon and B is the image of A
Such that
Polygon A has vertex (x,y) and scale factor = a
From the question, we understand that polygon B is bigger than A
When the dilated image (polygon B) is bigger than the original image (polygon A), then the scale factor is greater than 1.
Take for instance.
One of the coordinate point of polygon A is (2,4)
The corresponding coordinate point of polygon B will be greater than (2,4) because a is greater than 1.
Take a as 2:
The corresponding point on Polygon B would be 2 * (2,4) = (4,8)
Related Questions
1 What is the equation of a line that has a
slope of 2 and passes through point (-6,
3)?
A y = 2x + 15
By = 2x + 9
C y = -3x + 9
Dy = -6x + 3
Answers
I NEED HELP SOMEONE PLEASE HELP ME I NEED ANSWER BY TODAY SOMEONE PLEASE HELP
Answers
Answer:
D 100% d
Step-by-step explanation:
Help asap if you get it right ill give 30 points no cap. Zach created a blueprint using only similar parallelograms.
Which statement about the parallelograms must be true?
The parallelograms have corresponding angles that are not congruent.
The parallelograms have corresponding sides that are congruent.
The parallelograms have proportional corresponding sides.
The parallelograms all have congruent sides and angles.
Answers
Answer: Hello!
Step-by-step explanation:
Your answer would be D :)
Tom got 7 over 8 pound of honey from a hive. He calculated the quotient of 7 over 8 ÷ 2 over 5 . Which statement shows the quotient and gives the most likely explanation of what Tom was trying to determine? (5 points)
a
He can make 14 over 40 of a bottle of honey with 2 over 5 pound of honey in each bottle.
b
He can get 14 over 40 pound of honey if he divides the honey into 2 over 5 -pound portions.
c
He can get 2 and 3 over 16 pounds of honey if he divides the honey into 2 over 5 -pound portions.
d
He can make 2 and 3 over 16 bottles of honey with 2 over 5 pound of honey in each bottle.
Answers
Answer:
C.
Step-by-step explanation:
He can get 2 3/16 pounds of honey if he divides the honey into 2/5 - pound portions.
7/8 / 2/5= 7/8 x 5/2= 35/16= 2 3/16 pounds of honey into 2/5 pound portions
via. google
Hope this helps dude
Tom can get 2 and 3 over 16 ([tex]2\frac{3}{16}[/tex]) pounds of honey if he divides 7 over 8 ([tex]\frac{7}{8}[/tex]) pound of honey into 2 over 5 ([tex]\frac{2}{5}[/tex]) pound portions: Option C.
Given the following data:
Quantity of honey = [tex]\frac{7}{8} \;pound[/tex]To determine the statement which shows the quotient and gives the most likely explanation of what Tom was trying to calculate:
Translating the word sentence into an algebraic expression, we have;
7 over 8 divided by 2 over 5:
[tex]\frac{7}{8}\; \div \; \frac{2}{5}[/tex]
Applying the basic law of division for fractions, we have:
[tex]Quotient = \frac{7}{8}\; \times \; \frac{5}{2}\\\\Quotient =\frac{35}{16}[/tex]
Simplifying further, we have:
[tex]Quotient =\frac{35}{16} = 2\frac{3}{16}[/tex]
Therefore, Tom can get 2 and 3 over 16 ([tex]2\frac{3}{16}[/tex]) pounds of honey if he divides 7 over 8 ([tex]\frac{7}{8}[/tex]) pound of honey into 2 over 5 ([tex]\frac{2}{5}[/tex]) pound portions.
Read more on quotient here: https://brainly.com/question/3702921
There were 350 apples on the tree in March. By September there were 420 apples on the tree. What was the percentage of change of apples on the tree? Round your answer to the nearest tenth.
Answers
Answer:
them some fast growing apples
Step-by-step explanation:
realy
An elevator is traveling underground at a constant rate. The equation y= -2x - 10 can be used to represent this situation, where y is the position of the elevator underground in feet and x is the number of seconds the elevator has been traveling Which statement best describes the position of the elevator, given this equation?
O From a starting position of 2 feet underground, the elevator is descending 10 feet per second
O From a starting position of 10 feet underground, the elevator is descending 2 feet per second
O From a starting position of 2 feet underground, the elevator is ascending 10 feet per second
O From a starting position of 10 feet underground, the elevator is ascending 2 feet per second
Answers
4 is correct
reason is because the number next to x is the constant number and the end number is where you started
Determine the two ordered pair solutions of the equation y = 2x2 + 3x , given (0, ), and (-2, ).
Answers
Answer:
We conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.
Step-by-step explanation:
Given the expression
y = 2x² + 3x
Substituting x = 0
y = 2(0)² + 3(0)
y = 0+0
y = 0
so when x = 0, y = 0Thus, the ordered pair is: (0, 0)
Now, substituting x = -2
y = 2x² + 3x
y = 2(-2)² + 3(-2)
y = 8 - 6
y = 2
so when x = -2, y = 2Thus, the ordered pair is: (-2, 2)
Therefore, we conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.
What's the midpoint between 3 and -5
Answers
Answer:
Step-by-step explanation:
just imagine you are on a number line and the numbers are
-5....-4.....-3.....-2....-1....0....1....2.....3
as you see the midpoint is -1
find the hcf by long division method 434 ,775
Answers
Answer:
775=434×1+341
Step-by-step explanation:
this is the answer
What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer.
Answers
Answer:
210 cm²
Step-by-step explanation:
The net of the right trapezoidal prism consists of 2 trapezoid base and four rectangles.
Surface area of the trapezoidal prism = 2(area of trapezoid base) + area of the 4 rectangles
✔️Area of the 2 trapezoid bases:
Area = 2(½(a + b)×h)
Where,
a = 7 cm
b = 11 cm
h = 3 cm
Plug in the values
Area = 2(½(7 + 11)×3)
= (18 × 3)
Area of the 2 trapezoid bases = 54 cm²
✔️Area of Rectangle 1:
Length = 6 cm
Width = 3 cm
Area = 6 × 3 = 18 cm²
✔️Area of Rectangle 2:
Length = 7 cm
Width = 6 cm
Area = 7 × 6 = 42 cm²
✔️Area of Rectangle 3:
Length = 6 cm
Width = 5 cm
Area = 6 × 5 = 30 cm²
✔️Area of Rectangle 4:
Length = 11 cm
Width = 6 cm
Area = 11 × 6 = 66 cm²
✅Surface area of the trapezoidal prism = 54 + 18 + 42 + 30 + 66 = 210 cm²
You order pizza on Door Dash. It costs $39. Sales tax is 7% and you want to leave 20%
for tip. What is the total cost including the sales tax and tip? (HINT: regular price + sales
tax + tip = total cost
Answers
Answer:
$47.4
Step-by-step explanation:
prize = $39
sales tax = $7
total cost = x
tip = 20% of the tax
tip = 20% of 7
=$ 1.4
total cost = 39 +7+ 1.4
= $47.4
Answer:
$49.53
Explanation:
Convert 7 % to a decimal.
0.07 x 39Multiply 0.07 by 39 .
2.73Repeat, but with 20%.
7.8Add the tax and tip to the original price:
39 + 2.73 = 41.73
41.73 + 7.8 = $49.53
The Quality Control Department employs five technicians during the day shift Listed below is the number of times each technician instructed the production foreman to shut down the manufacturing process last week.
Technician Shutdown
Taylor 4
Hurley 3
Gupta 5
Rousche 6
Huang 3
Required:
a. How many samples, without replacement, of size two are possible?
b. Compute the mean of the sample means and compare it to the population mean. (Round your answers to 1 decimal place.)
Answers
Solution :
Number of different samples of two technicians possible is = 10, as 2 technicians are to be chosen from a total of 5 technicians.
a). Therefore, 10 different samples are possible of size two.
b).
Sample Shut down Mean
1. Taylor, Hurley 4, 3 3.5
2. Taylor, Gupta 4, 5 4.5
3. Taylor, Rousche 4,6 5
4. Taylor, Huang 4, 3 3.5
5. Hurley, Gupta 3,5 4
6. Hurley, Rousche 3,6 4.5
7. Hurley, Huang 3,3 3
8. Gupta, Rousche 5,6 5.5
9. Gupta, Huang 5,3 4
10. Rousche, Huang 6,3 4.5
42
Now mean of sample means [tex]$=\frac{42}{10}$[/tex] = 4.2
Mean of population is = [tex]$\frac{4+3+5+6+3}{5}$[/tex] = 4.2
Thus both the means are equal.
Need help! Which matrix equation represents the system of equations?
[2x+ y =5
[5x+3y -12
Answers
Step-by-step explanation:
The given equations are :
2x+ y =5 ....(1)
5x+3y = 12
We need to find the matrix equation that represents the system of equations.
[tex][A]=\left[\begin{array}{cc}2&1&\\5&3\end{array}\right][/tex]
[tex][B]=\left[\begin{array}{cc}5\\12\end{array}\right][/tex]
And
[tex][X]=\left[\begin{array}{cc}x\\y\end{array}\right][/tex]
Hence, the matrix equation is :
[tex]\left[\begin{array}{cc}2&1&\\5&3\end{array}\right] \left[\begin{array}{cc}x\\y\end{array}\right]=\left[\begin{array}{cc}5\\12\end{array}\right][/tex]
Hence, the correct option is (b).
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 0 6 feet by 2 feet by 3 feet 6 feet by 5 feet by 4 feet 7 feet by 6 feet by 4 feet 8 feet by 3 feet by 7 feet 8 feet by 4 feet by 3 feet
Answers
Answer:
I think the answers are...
B. 6 feet by 5 feet by 4 feet
C. 7 feet by 6 feet by 4 feet
D. 8 feet by 3 feet by 7 feet
(I'm so sorry if it's wrong)
Hope this Helps!
Answer:
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options.
6 feet by 2 feet by 3 feet
6 feet by 5 feet by 4 feet
7 feet by 6 feet by 4 feet
8 feet by 3 feet by 7 feet
8 feet by 4 feet by 3 feet
Step-by-step explanation:
Please help and explain how you got the answer. Im giving out brainliest. || Q3
Answers
Answer:6:8
Step-by-step explanation:
8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in 30 minutes. Do they type at the same rate? Use a proportion to explain.
Answers
Answer:
Yes
Step-by-step explanation:
Lisa and Frank type at the same rate.
They both type 1 page every six minutes.
Lisa types 6 pages every 36 minutes, and if we divide the minutes by the pages, we get
[tex]\frac{36}{6} = 6[/tex]
And Frank types 5 pages ever 30 minutes, when we divide we get
[tex]\frac{30}{5} = 6[/tex]
-10x-3y=-18
-7x-8y=11 solve system using elimination
Answers
Answer:
(-7) (-10x - 3y = -18)
(10) (-7x - 8x = 11)
--------------------------
70x + 21y = 126
+ -70 - 80x = 110
---------------------------
-59x = 236
x = -4
Answer
[tex] \huge{ \boxed{ \text{(3 \:, - 4)}}}[/tex]
✑ [tex] \underline{ \underline{ \text{First ,\: let's \: know \: about \: elimination \: method}}}[/tex] :
☇ In this method , we add or subtract the given equations to eliminate one of the two variables by making their coefficients equal. Then , a single equation with one variable so obtained is solved to find the value of the variable. The value of the variable is substituted to any one equation to find the value of the eliminated variable.
☯ [tex] \underline{ \underline{ \text{Let's \: solve}}} : [/tex]
[tex] \underline{ \text{Original \: system}} : [/tex]
[tex] \text{ - 10x - 3y = - 18 - - - - Equation\: (i)}[/tex]
[tex] \text{ - 7x - 8y = 11 - - - - Equation \: (ii)}[/tex]
[tex] \text{Step \: 1} : [/tex] Take L.C.M ( Lowest Common Multiple ) of 10 and 7. For this , find the prime factors of each number. Then, take out the common prime factors and other remaining prime factors and multiply them.
prime factors of 10 = 1 × 2 × 5prime factors of 7 = 1 × 7L.C.M = Common factors × Remaining Factors
= 1 × 2 × 5 × 7
= 70
[tex] \text{Step \: 2} : [/tex] Multiply equation ( i ) by 7
[tex] \text{7( - 10x - 3y ) = - 18 * 7}[/tex]
⇢ [tex] \text{ - 70x - 21y = - 126 - - - - equation \: (iii)}[/tex]
[tex] \text{Step \: 3} : [/tex]Multiply equation ( ii ) by 10
[tex] \text{10( - 7x - 8y) = 11 \: * \: 10}[/tex]
⇢ [tex] \text{ - 70x - 80y = 110 - - - - equation \: (iv)}[/tex]
[tex] \text{Step \: 4} : [/tex] Subtract equation ( iv ) from equation ( iii ) :
Also Remember that while subtracting , sign of each term of the second equation changes. Here , we are eliminating x . So to make the coefficient of y same , equation ( i ) is multiplied by 7 and equation ( ii ) is multiplied by 10.⇩
[tex] \text{ - 70x - 21y = - 126}[/tex]
[tex]\text{+70x + 80y = - 110}[/tex]
___________________
[tex] \text{ \: \: \: \: \: \: 59y = - 236}[/tex]
Solve :
⇢ [tex] \text{59y/59 = - 236/59}[/tex]
⇢ [tex] \boxed{ \bold{ \text{y = - 4}}}[/tex]
[tex] \text{Step \: 5} : [/tex]
Substitute the value of y into equation ( iii ) , we get :
[tex] \text{ - 70x - 21y = - 126}[/tex]
➳ [tex] \text{ - 70x - 21( - 4) = - 126} [/tex]
➳ [tex] \text{ - 70x - ( - 84) = - 126} [/tex]
➳ [tex] \text{ - 70x + 84 = - 126}[/tex]
➳ [tex] \text{ - 70x = - 126 - 84}[/tex]
➳ [tex] \text{ - 70x = - 210}[/tex]
➳ [tex] \text{ - 70x/ - 70 = - 210/ - 70}[/tex]
➳ [tex] \boxed{ \bold{ \text{x = 3}}}[/tex]
[tex] \bold{ \underline{ \text{Hence ,\: x = 3 \: and \: y = - 4}}}[/tex]
Hope I helped!
♡ Have a wonderful day / night ツ
~ [tex] \sf{TheAnimeGirl} [/tex] ♪
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
. If a random variable x has a discrete uniform distribution
1
fx(x) = 2
for x = 1,2, ..., 2k; 0 Otherwise.
Derive p.g.f. of X and Compute E(2X + 3)
Answers
n old building has been demolished, and there are tons of debris to haul away. Each pickup load can hold a ton of debris. As many full loads as possible are hauled away. How much of a full pickup load is in the last load of debris?
Pick an answer!
1/6
8/27
2/3
7/9
Answers
Answer:
The question is incomplete...
Step-by-step explanation:
Use triangles to find the sum of the interior angle measures of the polygon
Answers
Answer:
145
Step-by-step explanation:
$1,580 at 10% for 8 years
Answers
Hope this helps you
A TV report conducted a survey of 947 people in New York City and found that 35% of the population believe that the Yankees will miss the playoffs this year. In the accompanying dialogue, the reporter states, we are 97% confident that the true proportion of people in New York City who believe that the Yankees will miss the playoffs this year lies between 28% and 42% . What does 35% represent in the report
Answers
Answer:
[tex]35\%[/tex] represents the sample proportion of the population
Step-by-step explanation:
From the question we are told that
The sample size is n = 947
The proportion of the population that believes that the Yankees will miss the playoffs this year is [tex]k = 35\% = 0.35[/tex]
From the question we are told the confidence level is 97%
The lower limit of the confidence level is a = 28%
The upper limit of the b = 42%
Generally the sample proportion of this population is mathematically represented as
[tex]\^ p = \frac{a+ b}{2}[/tex]
=> [tex]\^ p = \frac{28 + 42 }{2}[/tex]
=> [tex]\^ p = 35\%[/tex]
Hence [tex]35\%[/tex] represents the sample proportion
Plz I need help u get brainliest if right when I’m done
Answers
Answer:
-2/5
Step-by-step explanation:
-4/5 ÷ 2
-4 /5 × 1 /2
-4 × 1
5 × 2
-4 /10
-4 ÷ 2
10 ÷ 2
–2 /5
please help me solve this anyone! plz don’t guess just for points this was due a few weeks ago and i have to have good grade
Answers
Answer:
[tex] - 23[/tex]
Step-by-step explanation:
Substitute -3 for X in the expression then solve.
Answer:
-23
Step-by-step explanation:
They give us the variable's value, which is [tex]x=-3[/tex]. All we have to do from here is plug it into the expression that they gave us!
So, let's do exactly that! The expression that they gave us is [tex]5x-8[/tex], and we know the value of x because they gave it to us!
Let's plug it in.:
[tex]5(-3)-8[/tex]
Let's follow P.E.M.D.A.S. and our order of operations to determine what to do first. Since we have multiplication going on within parenthesis, let's do that first.
[tex]5(-3)=-15[/tex] because a negative number times a positive number equates to a negative number. Now, we have the following expression: [tex]-15-8[/tex]
Let's subtract this now! Remember, subtracting a number from another number is basically adding the opposite of the second number; essentially, you're following keep, change, flip. You keep the first number without doing anything to it, you change the sign of the operation, and you flip the sign of the 2nd number. Let's revise this problem now with these rules.: [tex]-15 + (-8)[/tex], now we have something that we can work with! Since both numbers are negative and are being added, we keep the sign, and just add their absolute value, leaving us with the expression being -23.
Shelby loves to knit scarves. Normally, it takes her 15 minutes to knit 5 inches of a scarf. She plans to make a scarf that is 30 inches long.
If she knits at the same rate, how many minutes will it take Shelby to knit the scarf?
Answers
Answer:
90 minutes
Step-by-step explanation:
let x=amount of time it would take for Shelby to knit the scarf
[tex]\frac{15}{5} =\frac{x}{30}[/tex]
cross multiply
15*30=5x
450=5x
450/5=x
x=90
It would take Shelby 90 minutes to knit a scarf that is 30 inches long.
sophia used 1/10 of a liter of water to fill 1/4 of a fish aquarium. How much water, in liter is required to fill the aquarium?
Answers
Answer:
4/10 of a liter
Step-by-step explanation:
if 1/10 of a liter fills 1/4 of the aqauium then your ratio is .1:.25 out of 100 so
100/25=4
Pls answer this is very easy
Answers
Answer:
A and B
Step-by-step explanation:
The original equation simplifies down to -4m - 2
Answer A and B also simplify down to -4m -2, and therefor are equivalent
A: -2(4m + 1) + 4m
-8m - 2 + 4m
-4m - 2
B: 2(2m - 1) - 8m
4m - 2 - 8m
-4m - 2
person on top is right
the product of a number and -8 is 72
Answers
Answer:
-9.
The product of -9 and -8 is 72.
Step-by-step explanation:
Product means the answer of a multiplication, so we're given 72 and -8.
We can solve this by using inverse operations.
The inverse operation of multiplication is division, so we divide 72÷ -8
This will give us -9.
fully explain:
x(x+2)+1(x+2)
How does it become:
(x+1)(x+2)
????
Help! brainliest for best :)
Answers
➨ Let (x+2) = a ➩ [tex]xa+1a[/tex]
Then we factor a-term out of the expression ➩ Common Factor ➩ [tex]a(x+1)[/tex]
Then convert from a back to x+2
Thus, our answer would be ➩ [tex](x+2)(x+1)[/tex]
Which expression is equivalent to 1/3(9x + 12) + 4x + 6?
A: 7x + 18
B7x + 10
C:13x x +6
D:13x + 18
Answers
The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.
What is an equivalent?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 1/3(9x + 12) + 4x + 6
Simplify the expression, then we have
⇒ 1/3(9x + 12) + 4x + 6
⇒ 3x + 4 + 4x + 6
⇒ 7x + 10
The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.
More about the equivalent link is given below.
https://brainly.com/question/889935
#SPJ2