The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.The dilation o a triangle with a scale factor of 2 3 represents a contraction.
How to Dilate a triangle with a scale factor ?
The scale factor is defined as the proportion of the new image's size to that of the previous image. A fixed location in the plane serves as the centre of dilatation. The scale factor and the centre of dilation are used to determine the dilation transformation.
The image stretches if the scaling factor is greater than 1.The image contracts if the scale factor is between 0 and 1.The original image and the resulting image are consistent if the scale factor is 1.Finding the dilation's centre point is the first step in determining the scale factor. Next, we measure the distances between the centre point and various points on the preimage and the image. According to Math Bits Notebook, the scale factor is equal to the ratio of these distances.
Since each angle is congruent, every segment is proportional, the slope of every segment is preserved, and the perimeter of the preimage and image have the same scale factor, we may use dilation scale factors to compress or enlarge a figure to the size we desire.
Dilate a triangle with a scale factor
Assume that the coordinate plane's centre of dilation is at (0, 0) at the origin. Every coordinate point of the original triangle is multiplied by the scale factor 2/3 if the scale factor is 2/3. multiplying by half after a scale factor of two.
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− 2/3m = −1/2 solve for m
Answer:
m=-18
Step-by-step explanation:
-12=2/3m
For a year, a chef from a restaurant collected data about the cost of strawberries and cherries in his local food market. this data is summarized in the table below. based on the data collected, select all of the statements that are correct.
Answer:
A Strawberries generally cost less.
D If the chef pays $6.00 for a pound of fruit, it is most likely cherries.
Step-by-step explanation:
A and D
The sample and h is the half-life, in days, of the substance. A sample contains 60% of its original amount of Fermium-257. The half-life of Fermium-257 is about 100 days. About how old is the sample? 52 days 60 days 74 days 136 days
Answer:
74 days
Step-by-step explanation:
The computation is shown below;
The proportion that remains left after d days is
p = (1/2)^(d ÷ 100)
In the case when the proportion is 60%
So,
0.60 = 0.50^(d ÷ 100)
Now
log(.60) = (d ÷ 100)log(.50)
100·log(.60) ÷ log(.50) = d = 74 days
6.) Resuelve: 6(X + 8) - 30 + 7 = 49
Answer:
x=4
Step-by-step explanation:
6(x+8)-30+7=49
6x+48-30+7=49
6x=49-48+30-7
6x=1+23
6x=24
x=[tex]\frac{24}{6}[/tex]
x=4
Step-by-step explanation:
Para resolver esto yo use una app llamada m a t h w a y
(sin los espacios) esta puede estar en varios idiomas, aunque esto se modifica segun el idioma en donde la uses.
6(x+8) -30+7 = 49 1. Simplifica 6(x+8) -30+7
6x+25 = 49 2. Mueve todos los términos que no
contengan x al lado derecho de la ecuación
6x = 24 (25 pasa restando por lo cual sería, 49-25
que es igual a 24.)
3. Divide cada término por 6 y simplifica.
x = 4
Espero esto haya ayudado!
There were 24 people invited to a pizza party. One-fourth of the people wanted sausage and olives. Three-fourths
wanted plain cheese. How many plain pizzas should Sam order?
18,16,14?
Answer:
the number of plain pizza does sam order is 18
Step-by-step explanation:
The computation of the number of plain pizza does sam order is shown below:
= Total people invited to a pizza party × plain cheese
= 24 × 3 ÷ 4
= 18
Hence, the number of plain pizza does sam order is 18
randy needs to save 2550$ for a vacation. he has 6 months to save the money. how much money must he save each month?
Answer:
425
Step-by-step explanation:
2550/6=425
Answer:
425
Step-by-step explanation:
find the distance between j and k
Answer:
theres no picture...or points...
Step-by-step explanation:
Kunal told Ana he was going to drop 10 dimes on the table. He said he would give her all the dimes where the "head" side was showing.How many dimes would Ana most likely get?
Answer:
10
Step-by-step explanation:
How many fluid ounces are in 1 quart? With work!
Answer: 32 fluid ounce = 1 quart
Hey I'm sorry. I don't know if there are any work to show for this but I will try.
1 quart=2pints
2pints=4cups
4cups=32 fl oz
This is all the work I could show for this problem, you really should memorize this though 32 fl oz in a quart, it is very useful real life information :)
Solve and graph the inequality.
7n - 1 > 76
Answer:
n>11
Step-by-step explanation:
I don't know how to graph this answer, sorry!
The solution of the inequality 7n - 1 > 76 gives n < 11 along with the graph.
Given Inequality:
7n - 1 > 76
To solve the inequality add 1 on both side of inequality as
7n - 1 + 1 > 76 + 1
7n > 77
Now, divide the inequality by 7 as
7n/ 7 > 77/ 7
n > 11.
Therefore, the solution is n > 11.
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Look at the photo below.
Answer:
complement, 70; supplement, 160*
Step-by-step explanation:
I need help I am really struggling with math
Answer:
Okay what is it i might be able to help
Step-by-step explanation:
Rule: multiply by 2 Pattern: 3,6,12,24,48 Observation: Observation = something similar about the numbers
Step-by-step explanation:
This numerical sequence corresponds to a geometric progression, which occurs when there is a multiplication of the sequence numbers for a common reason whose result will always be the successor number of the numerical sequence.
Like for example:
3,6,12,24,48
The common reason for the geometric progression is the number 2, so the first term of the sequence multiplied by 2 will be equal to the second term of the sequence and so on:
3x2 = 6
6x2 = 12
12x2 = 24
24x2 = 48
It is necessary to emphasize that the ratio of a geometric progression will always be constant and will always be a number other than zero.
Whoever answers this question first gets brainly 2
If corresponding angles are on parallel lines, then their measure is the same _____.
always
never
sometimes
Step-by-step explanation:
always .
plz mark my answer as brainlist.hope this will be helpful to you
Answer: Always
Step-by-step-sumsum:
what is the value of the expression -3y/x
when x = 12 and y=-8
Step-by-step explanation:
here is your answerr.
Was it helpful?
comment down
If there is any kind of suspicious mistake
then sorry
-6=3x+3
Does anyone know this answer
Answer:
-1 :)
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
x = −1
15 points, 8-9 grade work
Polynomials
P(x) = 2x^4 + 3x^2 - 5x + 7
q(x) = -2x^2 + 4x - 3
calculation:
A. p(x) + q (x)
B. 2 • p (x)
C. p (x) - q (x)
D. 3 • p (x) + 4 • q (x)
E. p (x) • q (x)
F. (P (x) ) ^2
Answer:
A. p(x) + q (x) =2x^4 + 3x^2 - 5x + 7-2x^2 + 4x - 3 =2x⁴+x²-x+4
B. 2 • p (x)=2(2x^4 + 3x^2 - 5x + 7)=4x⁴+6x²-10x+14
C. p (x) - q (x) =2x^4 + 3x^2 - 5x + 7-(-2x^2 + 4x - 3 )=2x^4 + 3x^2 - 5x + 7+2x²-4x+3=2x⁴+5x²-9x-2
D. 3 • p (x) + 4 • q (x) =3(2x^4 + 3x^2 - 5x +7)+4(-2x^2 + 4x - 3 )=6x⁴+9x²-15x+21-8x²+16x-12=6x⁴+x²+x+9
E. p (x) • q (x)=sorry it is quite long.
F. (P (x) ) ^2this too.
At Pizza Pi, 12% of the pizzas made last week had extra cheese. If 6 pizzas had extra cheese, how many pizzas in all were made last week?
Answer:
50? maybe
Step-by-step explanation:
since half of the percentage was made it would also fall in for the other 88%.
im not 100% sure tho
The total number of pizzas is given as 50.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
The percent value of pizzas having extra cheese is given as 12%.
Suppose the pizzas made last week be x.
Then, as per the question the following equation can be written as,
⇒ 12% × x = 6
⇒ 12/100x = 6
⇒ x = 50
Hence, the number of pizzas that were made last week is given as 50.
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heyy could you help me out with this question I have been stuck in this question??
Answer:
true, false, true that is the answer I belive
2X+1 -2X-8. Solve it
If g(x) = 2x – 9, determine g(4) – g(1)
Step-by-step explanation:
g(x) = 2x - 9
g(4) = 2* 4 - 9
= 8 - 9
= - 1
g(1) = 2 * 1 - 9
= 2 - 9
= - 7
Now
g(4) - g(1)
= - 1 - ( -7)
= - 1 + 7
= 6
Hope it will help :)
A yellow ball, a red ball, a white ball and a
black ball are placed in a barrel. Two balls
are drawn out of the barrel at random. What is the probability
that the yellow ball is drawn first?
Answer:
1/4 chance (this is equal to 25% as a percentage or 0.25 as a decimal)
Step-by-step explanation:
There are 4 balls and only one can be first. As there is only 1 yellow ball, there is 1/4 chance that the yellow ball is picked first.
Kate deposited $1350 into a bank account that earns 3% simple interest per year. What is the total amount in the account after 2 years?
Answer:810$
Step-by-step explanation:
?/1350=3/100
1350*3=4050
4050/100=405
405 per year times 2= 810$
Can 4(x+2)=10 equal 0
Answer:
x = 0.5
Step-by-step explanation:
The given expression is :
4(x+2) = 10
Using commutative property at LHS.
4x+8 = 10
Subtract 8 from both sides.
4x+8-8 = 10-8
4x = 2
x = (1/2) = 0.5
So, the value of x is equal to 0.5 instead of 0. Hence, the given expression cannot be equal to 0.
Multiplying positive and negative fractions how do you do it
Answer:
I GOTCHU BAEE
Step-by-step explanation:
its just like regular negative numbers
but with fractions
see:
-7/12 x 1/2 = -7/24
negative negates the negative
negative negates the positive
positive keeps the positive positive
-(7p+6)-2(-1-2p)
what is that simplified?
Answer:
-3p-40
Step-by-step explanation:
-(7p+6)-2(-1-2p)
-7p-42+2+4p
-3p-40
tysm for whoever helps !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
21
Step-by-step explanation:
When you simply the fractions down, you will get this
[tex]16 + 5 = 21[/tex]
Hope this Helped
HELP HELP HELP PLSSS
Answer:
option. c. 720°
.....................
Answer:
720degrees
Step-by-step explanation:
Use the distributive property to find the equivalent expression.
3(2 + x) =__+__x
Answer:
6+3x
Step-by-step explanation:
multiply each term in the parentheses by the outer term.