The image of dilating the points by a scale factor 3.5 with centre of enlargement (4, -6) is (-7, 14), (0, 14), (-7,7) and (0, 7)
How to dilate the points?The coordinates are given as:
(2,-2) (4,-2) (2,-4) (4,-4)
The scale factor is given as:
k = 3.5
The center of enlargement is given as:
(a,b) = (4, -6)
The image of dilation is calculated using:
[tex](x,y) \to (k(x -a), k(y -b))[/tex]
So, we have:
A = (3.5(2 -4), 3.5(-2 +6))
A = (-7, 14)
B = (3.5(4 -4), 3.5(-2 +6))
B = (0, 14)
C = (3.5(2 -4), 3.5(-4 +6))
C = (-7,7)
D = (3.5(4 -4), 3.5(-4 +6))
D = (0, 7)
Hence, the image of dilating the points is (-7, 14), (0, 14), (-7,7) and (0, 7)
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what does tally mean?
Answer:
To mark or take note of.
Step-by-step explanation:
3 x 5/6 = ? x 1/6
those are fractions btw and what number makes the equation true?
PLEASE NO LINKS
Answer:
15
Step-by-step explanation:
[tex]3 \times \frac{5}{6} = \frac{15}{6} = 15 \times \frac{1}{6} [/tex]
What is the range of f(x) = 3x + 9?
{y | y < 9}
{y | y > 9}
{y | y > 3}
{y | y < 3}
Simplify.
√63 somebody please help
Answer:
7.93
Step-by-step explanation:
HEY GUYS THIS IS MY FINAL MATH ASSIGNMENT OF THE YEAR... PLS JUST HELP ME FIND THE DOMAIN AND RANGE THANK YOU
Answer:
domain: all real numbers (-∞,∞)
range: y ≤ 64
Step-by-step explanation:
since the domain is arn,
and range is the coordinates
coordniate (top or bottom-most point)
downward facing so the top
(2, 64)
since it is downward facing we use ≤ instead of ≥
y value is 64 (just as x is 2)
your answer is y ≤ 64
hope this helps:)
Answer:
[tex]D=[x E R | {x = \infty} ][/tex]
[tex]R = [yER| y\leq 64][/tex]
Step-by-step explanation:
1) Identify whether the [tex]x[/tex] and [tex]y[/tex] values are continuous
2) Since [tex]x[/tex] will continue below the [tex]x[/tex]-axis, it will approach infinity.
Therefore [tex]D=[x E R | {x = \infty} ][/tex]
3) Since [tex]y[/tex] ONLY continues below 64, [tex]R = [yER| y\leq 64][/tex]
which of the following is equivalent to 10x+15
10(x+5)
10(x+15)
5(2+3)
5(2x+3)
Answer:
The last one 5(2x + 3)
Step-by-step explanation:
5 × 2x = 10x
5 × 3 = 15
10x + 15
Apples cost $1.60 at the farmers market. They cost
1.5 times as much at the grocery store.
Select all the equations that show the cost of apples at
the grocery store, g.
(Select all that apply.)
g=1.5 1.60
g=1.60 1.5
1.5g = 1.60
g=1.5 1.60
g÷1.5 1.60
Answer:
G = 1.60 x 1.5, G = 1.5 x 1.60, and G ÷ 1.5 = 1.60
Step-by-step explanation:
^ ^
I don't understand this equation, I need a little help...
x + 14 = 14, x
Urgent Please Help!!!!
What percentage of scores lie in the shaded region? Use the empirical rule to find your answer.
Answer:
81.5%
Step-by-step explanation:
GIVING BRAINLIEST!!!!!
Answer:
option 1, 2
Step-by-step explanation:
since R is between Q and S
____________________
Q (3x+6) R (5x-2) S
--------------(12x - 4)-------------
Q S
so
QR + RS = QS
[tex](3x+6) + (5x - 2) = 12x - 4\\(3x + 5x) + (6 - 2) = 12x - 4\\(8x) + (4) = 12x - 4\\8x + 4 - 4 = 12x - 4 -4\\8x = 12x - 8\\8x - 12x = 12x - 12x - 8\\-4x = -8\\\frac{-4x}{-4} = \frac{-8}{-4}[/tex]
Answer:
2
Step-by-step explanation:
It mentions R is between points Q and S.
Hence, QR + RS = QS.
3x + 6 + 5x - 2 = 12x - 48x + 4 = 12x - 412x - 8x = 4 + 44x = 8x = 2DO NOT ANSWER IF YOU DON'T KNOW. AND NO GUESSES!
In the following table of values, what would be the value of “b” in ax2 + bx + c?
–2, –9
–1, –1
0, 9
1, 21
2, 35
Answer choices:
1
9
11
22
Answer:
11
Step-by-step explanation:
I used a bunch of formulas that would clog this page, so I can't put them down. Sorry if it's wrong
The graph shows how the annual budget for a company is divided by department. Use this graph to answer the questions below
Answer: a) the answer is engineering
Step-by-step explanation:
because since it is a circle, it's out of 360 degrees, and 1/4 means first you divide 360 with 4, and you get 90. So, i checked which department is exactly 90 degrees and saw that engineering is 90 degrees
use the method of elimination to find the equation of the line in y=mx+b form, that passes through each set of points (3,10) and (5,18)
Answer:
The answer is y=4x-2
Step-by-step explanation:
Sam is d years old. Rupert's age is of Sam's age. lan is 15 years older than Rupert. If lan is 26 years old, a) write an equation in terms of d. b) what is Sam's age?
Answer: d = 11 bc 26 - 15 would equal 11
Jasmin rakes leaves at two different houses. it takes her 2 1/3 hours to rake leaves at the first house. it takes her 1/2 of that time to rake leaves at the second house. how long does it take jasmin to rake leaves at the second house.
The Jasmine take 1 whole 1/6 seconds to rake leaves at the second house.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
Jasmin rakes leaves at two different houses. it takes her 2 1/3 hours to rake leaves at the first house. it takes her 1/2 of that time to rake leaves at the second house.
From the problem:
[tex]= \rm 2\dfrac{1}{3}\times \dfrac{1}{2}[/tex]
[tex]= \rm \dfrac{7}{3}\times \dfrac{1}{2}[/tex]
[tex]= \rm \dfrac{7}{6}[/tex]
[tex]= \rm 1\dfrac{1}{6}[/tex]
Thus, the Jasmine take 1 whole 1/6 seconds to rake leaves at the second house.
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venessa is solving a video game puzzle to open a secret door she must collect between 400 grams (g) and 500 grams (g) of gems she can only collect one type of gem
type of gem mass
Ruby 128.3
Emerald 195.2
Diamond 147.6
Which of the gems should Vanessa try to collect?
A. rubies
B. emeralds
C. diamonds
D. none of the gems will work for opening the secret door
What is the surface area?
4 m
5 m
12m
Answer:
Where is the picture of the surface area?
Step-by-step explanation:
I need the picture in order for me to help your question.
Use an equation to write 2 x (2/3) as a multiple of a unit fraction.
Look at the picture below
The median number of shoes for the girls is greater than the median number of shoes for the boys.
The median number of shoes for the boys is greater than the median number of shoes for the girls
The mean number of shoes for the boys is greater than the mean number of shoes for the girls.
The value of Q3 for the boys is greater than the value of Q3 for the girls
Answer:
The median number of shoes for the girls is greater than the median number of shoes for the boys.
f(x) = x + 3
g(x) = 7x +4
What does (f+g) (x)equal?
To obtain credit, provide your answer with no spaces. Example answer: 42x+9
What is limit of startfraction x squared x minus 12 over x squared minus 3 x endfraction as x approaches 3? 0 startfraction 7 over 3 endfraction 4 dne
The limit of the expression [tex]f(x) = \frac{x^2 - 12}{x^2 - 3}[/tex]a s x approaches 3 is -1/2
How to determine the limit?The expression is given as:
[tex]f(x) = \frac{x^2 - 12}{x^2 - 3}[/tex]
As the variable x approaches 3, the limit is represented as:
[tex]\lim_{x \to 3} f(x)[/tex]
So, we have:
[tex]\lim_{x \to 3} = \frac{3^2 - 12}{3^2 - 3}[/tex]
Evaluate the exponents
[tex]\lim_{x \to 3} = \frac{-3}{6}[/tex]
Evaluate the quotient
[tex]\lim_{x \to 3} = -\frac{1}{2}[/tex]
Hence, the limit of the expression as x approaches 3 is -1/2
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Answer:
B. 7/3
Step-by-step explanation:
Took the final test and this was the correct answer
joan has a square flower bed with a side length of 5 meters filled with tulips. there are a total of 375 tulips in the bed. find the density of tulips
for the area of the bed. round to the nearest tenth if necessary.
Answer:
the answer is 15
Step-by-step explanation:
density= total population/surface area
density= 375/5^2
density=375/25=15
Over the closed interval [3, 8], for which function can the extreme value theorem be applied?
Answer:
ITS C
Step-by-step explanation:
trust
A sociologist wishes to test . the sociologist takes a sample of size 100 and calculates a standardized test statistic of -2.34. to calculate a p-value for the test in excel, the sociologist should use:
Answer:
One-sample Z-test
Step-by-step explanation:
As the sample size is greater than 30, assuming the data is a simple random sample, and that the data has a normal distribution, the sociologist should conduct a one-sample z-test to calculate the p-value.
Can someone help please?
help me iiwh this quesrion
Answer:
3 is $8 and 14 is about 18%
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
since the annual rate is 2% and you wait 6 months which is half a year
you'd get 1% of 800 so it'd be 8.
_X 11 = 99 what is the missing number ?
Answer:
missing number its 9
Step-by-step explanation:
Ti find the answer you divide 99 by 11 and you find your answer
PLEASEEE HELP 100 POINTS
Write the equation of a circle whose center is at the origin and that contains the point (-3, 0).
Radius
√(-3)²+(0)²√93unitsSo
equation of circle
(x-h)²+(y-k)²=r²(x-0)²+(y-0)²+3²x²+y²=9Answer:
[tex]x^2+y^2=9[/tex]
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given:
center = (0, 0)point on circle = (-3, 0)Substitute the given values into the formula and solve for r²:
[tex]\implies (-3-0)^2+(0-0)^2=r^2[/tex]
[tex]\implies (-3)^2+(0)^2=r^2[/tex]
[tex]\implies 9=r^2[/tex]
Substitute the center and found value of r² into the formula to determine the equation of the circle:
[tex]x^2+y^2=9[/tex]
How Do You Graph This Equation
Answer:
Rearrange both inequalities to make y the subject.
Momentarily swap the inequality sign for an equals sign in order to calculate two points for each line.
Inequality 1
[tex]2y \leq x-10[/tex]
[tex]\implies y < \dfrac{1}{2}x-5[/tex]
[tex]x=0\implies y=\dfrac{1}{2}(0)-5 \implies (0,-5)[/tex]
[tex]x=4 \implies y=\dfrac{1}{2}(4)-5 \implies (4,-3)[/tex]
Inequality 2
[tex]x+y\leq -3[/tex]
[tex]\implies y\leq -x-3[/tex]
[tex]x=0\implies y=-(0)-3\implies (0,-3)[/tex]
[tex]x=4\implies y=-(4)-3\implies (4,-7)[/tex]
When graphing inequalities
< or > : dashed line
≤ or ≥ : solid line
< or ≤ : shade below the line
> or ≥ : shade above the line
Therefore,
Inequality 1: plot points (0, -5) and (4, -3) and draw a solid line through them.
Inequality 2: plot points (0, -3) and (4, -7) and draw a solid line through them.
Shade the area below both lines from where the lines intersect.
Answer:
See below ~
Step-by-step explanation:
Inequality 1 :
Convert into y = mx + b form2y ≤ x - 10y ≤ x/2 - 5Taking 2 points :
0 ≤ x/2 - 5x/2 ≥ 5x ≥ 10⇒ Point 1 = (10, 0)y ≤ 0 - 5y ≤ -5⇒ Point 2 = (0, -5)Inequality 2 :
x + y ≤ -3y ≤ -x - 3Taking 2 points :
0 ≤ -x - 3x ≤ -3Point 1 = (-3, 0)y ≤ 0 - 3y ≤ - 3Point 2 = (0, -3)Plot the two 2 lines using the 2 points and shade as per the sign of the inequality. The result will be this graph :
A bag contains 7 red marbles, 12 orange marbles, 18 yellow marbles, and 5 purple marbles. a marble is drawn at random from the bag. what is the probability that the marble drawn will not be orange? 130 112 27 57
Answer:
its 5/7
Step-by-step explanation:
no of marbles that r not orange = 30
no of total marbles = 42
probability = 30/42
= 15/21
= 5/7
I hope my answer is helpful
