Answer:
Step-by-step explanation:
I think you mean
n-9<2
n<11
Quadrilateral JKLM has vertices at J(0,0), K(0,6), L(9,12), and M(12,0). Find the vertices of the quadrilateral after a dilation with scale factor 2/3.
Answer choices
J'(0, 0), K'(0, 9), L'(27/2, 18), and M'(18, 0)
J'(0, 0), K'(0, 4), L'(6, 8), and M'(8, 0)
J'(0, 0), K'(0, −4), L'(−6, −4), and M'(−8, 0)
J'(2/3, 2/3), K'(2/3, 20/3), L'(9/3, 38/3), and M'(38/3, 2/3)
Answer:
The vertices of the quadrilateral after a dilation with scale factor [tex]\frac{2}{3}[/tex] are [tex]J'(x,y) = (0,0)[/tex], [tex]K'(x,y) = (0,4)[/tex], [tex]L'(x,y) = (6, 8)[/tex] and [tex]M'(x,y) = (8,0)[/tex].
Step-by-step explanation:
Let suppose that center of dilation is located at origin, that is [tex]O(x,y) = (0,0)[/tex]. Vectorially speaking, dilation is described by following expression:
[tex]D'(x,y) = O(x,y) + r\cdot [D(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Center of dilation.
[tex]D(x,y)[/tex] - Original point.
[tex]D'(x,y)[/tex] - Dilated point.
[tex]r[/tex] - Dilation factor.
If we know that [tex]O(x,y) = (0,0)[/tex], [tex]r = \frac{2}{3}[/tex], [tex]J(x,y) = (0,0)[/tex], [tex]K(x,y) = (0,6)[/tex], [tex]L(x,y) = (9,12)[/tex] and [tex]M(x,y) = (12,0)[/tex], then the dilated points are, respectively:
[tex]J'(x,y) = O(x,y) + r\cdot [J(x,y)-O(x,y)][/tex]
[tex]J'(x,y) = (0,0) +\frac{2}{3}\cdot [(0,0)-(0,0)][/tex]
[tex]J'(x,y) = (0,0)[/tex]
[tex]K'(x,y) = O(x,y) + r\cdot [K(x,y)-O(x,y)][/tex]
[tex]K'(x,y) = (0,0)+\frac{2}{3}\cdot [(0,6)-(0,0)][/tex]
[tex]K'(x,y) = (0,4)[/tex]
[tex]L'(x,y) = O(x,y) +r\cdot [L(x,y)-O(x,y)][/tex]
[tex]L'(x,y) = (0,0) + \frac{2}{3}\cdot [(9,12)-(0,0)][/tex]
[tex]L'(x,y) = (6, 8)[/tex]
[tex]M'(x,y) = O(x,y) +r\cdot [M(x,y)-O(x,y)][/tex]
[tex]M'(x,y) = (0,0) +\frac{2}{3}\cdot [(12,0)-(0,0)][/tex]
[tex]M'(x,y) = (8,0)[/tex]
The vertices of the quadrilateral after a dilation with scale factor [tex]\frac{2}{3}[/tex] are [tex]J'(x,y) = (0,0)[/tex], [tex]K'(x,y) = (0,4)[/tex], [tex]L'(x,y) = (6, 8)[/tex] and [tex]M'(x,y) = (8,0)[/tex].
Option B will be the correct option.
Dilation of a point about the origin by a scale factor 'k',If a point (a, b) is dilated by a scale factor 'k' about the origin, coordinates of the image point will be,
(a, b) → (ka, kb)
Following the rule for dilation,
If a quadrilateral J(0, 0), K(0, 6), L(9, 12) and M(12, 0) is dilated by a scale factor [tex]\frac{2}{3}[/tex], coordinates of the image points will be,
[tex]J(0,0)\rightarrow J'(0, 0)[/tex]
[tex]K(0,4)\rightarrow K'(0, 4)[/tex]
[tex]L(9,12)\rightarrow L'(6,8)[/tex]
[tex]M(12,0)\rightarrow M'(8,0)[/tex]
Therefore, Option B will be the correct option.
Learn more about the rule of dilation here,
https://brainly.com/question/22151723?referrer=searchResults
Problem 44. The sum of a certain quantity "p" together with two-third of that number, and one-third of that number, becomes 234. What is the quantity "p"? (HINT: Write the equation out and solve)
Answer:
[tex]p=117[/tex]
Step-by-step explanation:
Given number is [tex]p[/tex].
Two-third of the number = [tex]\frac{2}{3}p[/tex]
One-third of the number = [tex]\frac{p}{3}[/tex]
The sum of a certain quantity [tex]p[/tex] together with two-third of that number, and one-third of that number, becomes 234.
[tex]p+\frac{2}{3}p+\frac{p}{3}=234\\\\\frac{3p+2p+p}{3}=234\\\\\frac{6p}{3} =234\\\\2p=234\\p=117[/tex]
15•(13 - 7) ÷ (8 - 5) Simplify
Answer:
30
Step-by-step explanation:
15•(13-7)÷(8-5)
15•(6)÷(3)
90÷3
30
Answer:
30
Step-by-step explanation:
15 x 6 / 3 =
90 / 3 =
30
Hope that helps!
Concept Check: Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable.
75°
174°
300°
-61°
-90°
Step-by-step explanation:
...............
......
Enter a digit in each box to complete the division problem.
Please answer i’ll give brainliest
Step-by-step explanation:
2527 is the first line so 5 in the box
then 47 so a 4 in that box
top answer row
315 E7 so a 5 in that box.
in △ABC the measure of angle A is 2x + 3, the measure of angle B is 4x + 2, and the measure of angle C is 2x - 1. what are the measures of the angles?
The sum of 7 times the number and 3 times the 2nd numbers 54 if the 1st number is 2 more than the 2nd number what are the 2 numbers right as this movie equations that can be used to find the numbers
Answer:
1) The series of equations that can be used to find the numbers are
7·x + 3·y = 54...(1)
x = y + 2...(2)
2) The first number is 6
The second number is 4
Step-by-step explanation:
1) The given parameters for the numbers are;
7 times the first number + 3 times the 2nd number = 54
The first number = The 2nd number + 2
Let 'x' represent the first number and let 'y' represent the second number
The following series of equations can therefore be used in finding the numbers;
7·x + 3·y = 54...(1)
x = y + 2...(2)
2) By substituting the value of x = y + 2 from equation (2) into equation (1) gives;
7·x + 3·y = 54
∴ 7×(y + 2) + 3·y = 54
7·y + 14 + 3·y = 54
10·y + 14 = 54
10·y = 54 - 14 = 40
y = 40/10 = 4
The second number = y = 4
The first number, x = y + 2 = 4 + 2 = 6
The first number, x = 6.
Can someone help me.
Answer:
A.5,683.0000
B. 1,289,293.0000
C.3,567,920.0000
Step-by-step explanation:
Find the solution set of the inequality
8x - 8 ≤ -72
Answer:
x ≤ -8
Step-by-step explanation:
8x-8 ≤ -72
+8 +8
8x ≤ -64
divide by 8
8x/8 ≤ -64/8
x ≤ -8
Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.
Answer:Suppose that the equations are:
The number of people increases exponentially as the temperature increases, so we can write this as a simple exponential relation.
N(T) = a0*r^(T)
Also, the number of people that leaves the park as the temperature increases are:
M(T) = a*T + b
So the combination of these equations can say the number of people that are arriving to the park minus the number of people that are leaving, this would be:
N(T) - M(T) = total change in the park population as the temperature changes = C(T)
C(T) = a0*r^(T) - a*T - b
Step-by-step explanation:
April buys a necklace that cost $38.25. There is a 6% sales tax. What is the total cost?
Answer:
$40.55
Step-by-step explanation:
2
1
X 46
7. Find the m 2 JKL
in rhombus JKLM
Step-by-step explanation:
since KLJ is a parallelogram, it can be split into 2 congruent triangles, as seen above. The angles remain the same, so we know angle KJL is also 25 degrees. Using the triangle angle sum theorem (all sides of a triangle add up to 180 degrees), we can determine the missing angle measure is 25 degrees. It would have been nice if the question told us JKLM was also a rhombus.
Express the function F in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) F(x) = x + 2
Answer:
[tex]F(x) = f \circ g[/tex]
[tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]
Step-by-step explanation:
Given
[tex]F(x) = x + 2[/tex]
Required
Express as
[tex]F(x) = f \circ g(x)[/tex]
In functions:
[tex]f \circ\ g(x) = f(g(x))[/tex]
So, we have:
[tex]f(g(x)) = x + 2[/tex]
g(x) can be set to x and f(x) to x + 2
Hence:
[tex]F(x) = f \circ g[/tex]
When: [tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]
4/5+ 1/3 how much is it
(Easy) PLEASE HELP! I REALLY NEED TO GET THESE QUESTIONS RIGHT!
1. For the given equation, find the value of M when x=5. x + 3M = 14
2. What is the standard form for an exponential equation? Explain how you know if an exponential equation show’s growth or decay
Jay makes $9 an hour plus a 12.5% commission selling jewelry how much does she earn on an 8-hour shift and what she sells $380 worth of jewelry
Answer:
117.6
Step-by-step explanation:
HELP PLEASE DUE TODAY: Write the ratio as a fraction in simplest form.
10 feet to 4 yards
Answer:
imma say 10/4
Step-by-step explanation:sorry if wrong
Answer: 5 feet 2 yards
Step-by-step explanation: Just divide both of the numbers by a number that both of them can go through
When can we say that a function is continuous?
can someone please help me I only have a few minutes
Answer:
(x + 8)(y - 3)
Step-by-step explanation:
Since you have a few minutes left, I will make this quick.
Focus on one letter within the trapezoid ABCD. Pick a certain letter that can correlate to trapezoid A'B'C'D'.
If we move B to B', we would notice it takes 8 skips,therefore (x + 8). If we do the same for y, we would notice it takes 3 skips down. Therefore (y - 3)
Determine if the expression 10b^2 + b^3/6+ b^5 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Answer:poly of 5
Step-by-step explanation:
mono
The graph of a linear function is often a parabola.
True or False
A linear function has a graph as a straight line so the given statement is False.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
A linear function is given by
y = mx + c where m is the slope and constant.
Since it is constant it means it should be a straight line in coordinate geometry.
Therefore a linear function always makes a straight line, not a parabola.
Hence "A linear function has a graph as a straight line so the given statement is False".
For more about the linear function,
brainly.com/question/21107621
#SPJ6
the sum of three consecutive even numbers is 78,find the number
Answer:
24, 26, 28
Step-by-step explanation:
The final number is 78
first we can divide 78/3= 26
so 26+26+26= 78
we can leave the middle 26 but we can give 2 from the first number to the last number
24+26+28=78
(This might be wrong but i tried my best)
HELP this is probably easy but I don’t wanna get it wrong (show work please)
Answer:
a=-6
Step-by-step explanation:
p^a=1/p^6
= p^-6 ( a^-b=1/a^b)
since p^a=p^-6
a= -6
Step-by-step explanation:
P*a = 1/P*6can be written as
P*a = P*-6(law of indices)
i.e a = -6
if Ralf can bike in 45 kilometers in 3 hours,what will be his average rate of biking
A.9 kilometers/h
B.12 km/h
C.15 km/h
D.20 km/h
Answer:
C.15 km/h
Step-by-step explanation:
speed= distance/time
James has 838 feet of rope. There are 17 teams of hikers. If James gives an equal amount of rope to each team, how much rope will each team receive?
Answer:
838 ÷ 17 = 49.29 feet each
Step-by-step explanation:
divide the total rope by number of hikers equals amount of rope each hiker will receive.
Which statement is true?
Answer:
The answer is B
Step-by-step explanation:
Answer:
Option B
Brainly plz :))
Help me please answer thanks
Two siblings' ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.
Write a system of 2 equations. Solve the system using substitution. Report your answer in the form of (older, younger).
Hi!
So we have to make a system of equations here.
Let sibling 1 be O and sibling 2 be Y (for older and younger)
So:
O + Y = 64
O = 64 - Y
(Either one works)
The older sibling is 6 years older.
O = Y + 6
Make everything in terms of Y.
64 - Y = Y + 6
Same to both:
58 = 2y
2y = 58
Divide by 2 on both sides:
y = 29
Since the older sibling is 6 years older:
29 + 6 = 35
Y = 29
O = 35
Let me know if you have any questions.
What is the pattern for valence electrons on the periodic table?
Answer:
In general, the number of valence electrons is the same within a column and increases from left to right within a row. Group 1 elements have just one valence electron and group 18 elements have eight, except for helium, which has only two electrons total.
Step-by-step explanation:
Solve the pair of linear equations....
Please help me by solving this!