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
4 = y - 4
3 = 9 - y
1 = 8 - y
2 = 9 - y
4 = y - 3
Answer: a a a a. Aa
E s. Ss s
Step-by-step explanation:
s. S s s s. S s s s s
whats the anwser for 14−3x<−1
Answer:
Step-by-step explanation:
Here you go mate
Step 1
14−3x<−1 Question
Step 2
14−3x<−1 Simplify
Step 3
14−3x<−1 Subtract 14 from sides
-3x<-15
Step 4
-3x<-15 Divide sides by -3
x>5
Answer
x>5
Hope this helped
Answer:
Step-by-step explanation:
I can help
Step 1
14−3x<−1 Simplify
Step 2
14−3x<−1 subtract 14 from the sides
-3x<-15
Step 3
-3x<-15 Divide the sides by 3
-3x/-3<-15/-3
Answer
x>5
Hope this helps
a=10t+0 find the y intercept
Answer:
0
Step-by-step explanation:
The y intercept is the constant in this equation, as in the only number unaccompanied or affected by a variable. In this case, assuming y is a and x is t, the y intercept is 0. You can test this by plugging in y=10x+0 into a graphing calculator. The y intercept is where x equals 0, and so if you plug in 0 for x, the result (in this case 0) is the y intercept. Hope this helps, brainliest is always appreciated and have an amazing day!
what is the hcm of 18 and 45
Answer:
90
Step-by-step explanation:
90 Or, we can say that it is a method of breaking down the given integer into its prime factors. Therefore, the HCF of 18 and 45 is 9. Therefore, the HCF of 18 and 45 is 90.
Jordan bought 3 bags of chips and 4 bars of chocolate and paid $7.25. Diego bought 2 bags of chips and 3 bars of chocolate and paid $5.25. What is the cost of a bag of chips and a bar of chocolate?
Answer:
Step-by-step explanation:
I need a lot of heeelp pleaseee
Answer:
i think its mn
Step-by-step explanation:
its the 2 close to qs
Explain the first steps to factoring when the leading coefficient is 1.
a) List the factors of a that add up to b.
b) Split the c term to factor by grouping.
c) Find the factors of c that add up to b.
d) Multiply b and c, then find the factors.
Answer:
In general, for a trinomial of the form x2+bx+c x 2 + b x + c you can factor a trinomial with leading coefficient 1 by finding two numbers, p and q whose product is c, and whose sum is b.
a right circular cylinder with a radius of 2.3cm and a height of 1.4cm has a total surface area of
Answer:
i think 6.44
Step-by-step explanation:
first the diameter is 4.6 then multiply the 4.6 with 1.4 and u obtaine 6.44 (note:iam not sure iam still in seven grade)
Yep here we go again:
In the diagram below, the red angle angle YAK and the blue angle angle OAT are both right angles. If angle YAO=23 then what is the measure of angle KAT
If you don't know the answer or not sure, please don't answer it!
Whoever answers it correctly gets brainliest!!
Answer:
23 degrees
Step-by-step explanation:
90+23-90=23
9514 1404 393
Answer:
23°
Step-by-step explanation:
Both angles YAO and KAT are complementary to angle OAK, so are congruent.
∠YAO = ∠KAT = 23°
The area of the triangle above will equal one half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8.)
Answer:
2
Step-by-step explanation:
Find the diagram attached
The Base of the triangle will be equivalent to the the length of the rectangle
Since the base of the triangle is 5units, hence length of the rectangle is 5units
Similarly, the height of the triangle is corresponding to the width of the rectangle
Since the height of the triangle is 2 units, the rectangle will be 2 unts wide. Hence the required answer is 2units
Nebi has already typed 250 words. He then starts a timer and finds that he types 150 words in 3 minutes. If Nebi types at a constant rate, write a linear equation to represent the number of words w Nebi types m minutes after starting the timer.
Answer:
198
Step-by-step explanation:I
Answer: w= 150m
Step-by-step explanation:
MARK BRAINLIEST
There are 6 balls. Half of the balls are blue. One ball is red. The rest are green. Write the fraction for the green balls.
Answer:
1/3 (Minimized) 2/6
Step-by-step explanation:
What is the NPV of (x-5)
The number of different types of drinks that a barista makes in one week is related to the cost of the drink. A collection of data on the cost of
a particular drink and the number of that drink made over the course of the week is shown in the table below, where x represents the cost of
the drink in dollars, and y represents the number of drinks made at each cost.
X
у
97
84
1.85
2.10
2.45
3.25
66
70
3.50
65
58
3.65
4.15
51
4.45
40
44
4.70
5.10
27
Using a residual plot determine if the following model is a good fit for the data.
y = -11.52 + 120.45
ОА No. The model is not a good fit because the residual plot has a random pattern,
ОВ. No. The model is not a good fit because the residual plot does not have a random pattern
OcYes. The model is a good fit because the residual plot has a random pattern.
OD Yes. The model is a good fit because the residual plot does not have a random pattern.
Reset
Next
Answer:
Step-by-step explanation:
b
Answer:
it's C bro i just took it
Find the 9th term of the geometric sequence 6, -24, 96,
Step-by-step explanation:
the process is show in the above picture.
If there was a point R(-2, 4) and it was dilated to R'(-8, 16), what was the scale factor? *
Answer:
4
Step-by-step explanation:
graph the parabola. y=(x-3)^2-1
Answer:
Step-by-step explanation:
y = (x-3)²-1
This is the equation for an up-opening parabola with vertex (3,-1).
Find the x-intercepts:
0 = (x-3)²-1
(x-3)² = 1
x-3 = ±1
x = 4, 2
The graph crosses the x-axis at (4,0) and (2,0).
Find the y-intercept:
y = (0-3)²-1 = 8
The graph crosses the y-axis at (0,8).
Plot your four points (3,-1), (4,0), (2,0), (0,8). Draw an up-opening parabola through the points.
Evaluate y + (x2 + y) when x = 0.4, y = 3, z =
Answer:
6.16 is the answer
Step-by-step explanation:
3 + (.4^2 + 3)
3 + 3.16
6.16
** PLEASE ANSWER I’L GOVE YOU BRAINLYLIST**
Penelope eats 4 chocolates per day, because in one day, 20 chocolates are in the box. Then, after 2 more days, 8 chocolates are eaten. That means, if she eats an even amount of chocolates, she eats 4 chocolates per day. To check this pattern, on the fourth day, there are 8 chocolates left. 12 - 8 = 4, and the pattern would continue. On the fifth day, 4 chocolates would be left, and on the sixth day, 0 chocolates would be left.
Which inequalities have -0.5, 2.5, and 4 as part of the solution set? Select all that apply.
z > -3
z < 5
z < 4
z Less-than-or-equal-to 4
z > 0
Z>-3
Z<5
Z< or = 4
These 3 above have the 3 numbers in the solution set!
You just have to test each number in each inequality, and when all 3 of them work, the inequality is a part of the solution set!
Also Thanks for the 50 Points!
The inequalities are z ≤ 4 and z < 5 that have -0.5, 2.5, and 4 as part of the solution set.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
If the inequality have -0.5, 2.5, and 4 as part of the solution set.
That means, the required value has to be less than or equal to 4.
So, the inequalities are z ≤ 4 and z < 5.
Therefore, the inequalities are z ≤ 4 and z < 5.
To learn more about the inequality;
brainly.com/question/28823603
#SPJ6
*
Which graph represents the function f(x) =
c) = (3)
ty
3
ty
3
ty
3
ty
3
3
2
2.
2
2
1
1.21
2 3 4
2 3 4
2 3 4
2 3 4
O
o
The equation of the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex] is graph (b)
The equation of the graph is represented as:
[tex]f(x) = (\frac{3}{2})^{-x}[/tex]See attachment for the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex]
From the attached graph, the curve passes through points (0,1) and (2,0.5).
Hence, the equation of the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex] is graph (b)
Read more about graphs and functions at:
https://brainly.com/question/3939432
hi guys
i need help only 19
plz i need help hurry
and how do you mark brainliest
Answer:7 times 3.14=21.98
Step-by-step explanation:click the crown at the bottom of my answer
Answer:
43.98
Step-by-step explanation:
arc length =2* pie * r
GIVING BRAINLIST!!! m∠GHI=98° and m∠JKL=82°.
Which statement is true about ∠GHIand∠JKL?
The angles are neither complementary nor supplementary.
The angles are complementary.
The angles are supplementary.
Answer:
The angles are supplementary
Step-by-step explanation:
Supplementary angles add up to 180 degrees
Hope this helps! :)
Answer:
The angles are supplementary.
Step-by-step explanation:
82 plus 98 is 180, so the angles are supplementary.
I hope this helps!
Thx for Brainliest!
question: find the value of t
Answer:
t = 5
Step-by-step explanation:
since those 2 angles make up 180 degrees turn it into an equation
20t + 5 + 15t = 180
combine like terms 20t + 15t = 35t
the equation is now 35t + 5 = 180
subtract 5 from both sides, 5 - 5=0, 180 - 5 = 175
35t = 175
now divide each side by 35, 35t/35 = t, 175/35= 5
t = 5
hope this helps :)
Answer:
5
Step-by-step explanation:
Line (which has the the equation)= 180
So,
15t + 20t + 5 = 180
35t + 5 = 180
35t = 180 - 5
35t = 175
t = 175/35
t = 5
Convert the following fraction to a decimal.
23/99
Answer:
23/99 as a decimal is 0.23232323232323.
Step-by-step explanation:
In fractions, the numerator is the number above the line and the denominator is the number below.
The line in a fraction that separates the numerator and the denominator represents division.
To convert a fraction to a decimal, divide the numerator by the denominator.
1/2x + 7 = x + 13 solution
Answer:
-3
Step-by-step explanation:
Question 1
Write an equation of the line parallel to y = –3x + 8 through (1, –4).
Question 2
Write an equation of the line perpendicular to y =1/3x – 5 through (–6, 2).
can some one help me please....
by step by step explanation......
2/5 of 146 as a decimals