The vertices of AJKL are J(-3, -2), K(1, 4), and L(4, 2). Which coordinate pairs are vertices of D5(^JKL)? Select all that apply.
Answers
Given:
The vertices of ΔJKL are J(-3, -2), K(1, 4), and L(4, 2).
To find:
The coordinate pairs of vertices of [tex]D_5(\Delta JKL)[/tex].
Solution:
We know that, [tex]D_5(\Delta JKL)[/tex] means triangle JKL dilated by scale factor 5 with origin as center of dilation.
If a figure is dilated by factor k and origin is the center of dilation, then
[tex](x,y)\to (kx,ky)[/tex]
From the given problem, the rule of dilation is
[tex](x,y)\to (5x,5y)[/tex]
Now,
[tex]J(-3,-2)\to J'(5(-3),5(-2))=J'(-15,-10)[/tex]
[tex]K(1,4)\to K'(5(1),5(4))=K'(5,20)[/tex]
[tex]L(4,2)\to L'(5(4),5(2))=L'(20,10)[/tex]
Therefore, the coordinate pairs of vertices of [tex]D_5(\Delta JKL)[/tex] are J'(-15,-10), K'(5,20) and L'(20,10).
Answer:
J’ = (-15, -10)
K’ = (5, 20)
L’ = (20, 0)
Step-by-step explanation:
Related Questions
b. Find the standard deviation of the data.
c. Explain what the mean and standard deviation tell you about the data you
collected
HELPPPPPP
Answers
Answer:
b. The standard deviation for class 1 is approximately 18.81415
The standard deviation for class 2 is approximately 16.1527
The standard deviation for class 3 is approximately 12.705
c. The mean of the data indicates that the average scores of Class 1 and Class 2 are equal and less than the average score of Class 3
The standard deviation indicates that the data in Class 1 varies more than the data in Class 2, and also, that the data of Class 2 varies more than the data of Class 3.
Step-by-step explanation:
b. The mean and the standard deviation can be calculated using Microsoft Excel with the values presented here as results as follows;
The standard deviation, σ is given by the formula [tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}}[/tex], while the formula mean, μ is [tex]\mu = \dfrac{\Sigma x}{N}[/tex]
Where;
N = The number of terms = 12
∑x = 946 for Class 1, 953 for Class 2, 953 for Class 3
The mean for Class 1 = ∑x for Class 1/N = 946/12 = 78.8[tex]\bar 3[/tex]
The mean for Class 2 = ∑x for Class 2/N = 953/12 = 79.41[tex]\bar 6[/tex]
The mean for Class 3 = ∑x for Class 3/N = 953/12 = 79.41[tex]\bar 6[/tex]
[tex]\sum \left (x_i-\mu \right )^{2} }[/tex] for Class 1 = 4247.[tex]\bar 6[/tex]
[tex]\sum \left (x_i-\mu \right )^{2} }[/tex]/N = for Class 1 = 353.97[tex]\bar 2[/tex]
The standard deviation for class 1 σ₁, is given as follows;
[tex]\sigma_1 =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}} = \sqrt{353.97\bar 2 } \approx 18.81415[/tex]
The standard deviation for class 1 = 18.81415
[tex]\sum \left (x_i-\mu \right )^{2} }[/tex] for Class 2 = 3130.9167
[tex]\sum \left (x_i-\mu \right )^{2} }[/tex]/N = for Class 2 = 260.90972
The standard deviation for class 2 σ₂, is given as follows;
[tex]\sigma_2 =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}} \approx \sqrt{260.90972 } \approx 16.1527[/tex]
The standard deviation for class 2 = 16.1527
[tex]\sum \left (x_i-\mu \right )^{2} }[/tex] for Class 3 ≈ 1936.917
[tex]\sum \left (x_i-\mu \right )^{2} }[/tex]/N = for Class 3 ≈ 161.4097222
The standard deviation for class 3 σ₃, is given as follows;
[tex]\sigma_3 =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}} \approx \sqrt{161.40972 } \approx 12.705[/tex]
The standard deviation for class 3 ≈ 12.705
c. The mean indicates that the average score for Class 1 is higher than the average score for Class 2, and that the average score for Class 2 is the same as the average score for Class 3
However, the standard deviation indicates that the variability of the scores for Class 1 is higher than the variability of the scores for Class 2, and that there is also a higher variability in the scores of Class 2 than the variability in the scores of class 3
wht is -2 1/4=r-4/5 wht would r be
Answers
or MIXED NUMBER -1 9/20
a car travels 55 miles per hour for 2 hours complete the table
Answers
Answer:
Time distance miles per hour
1 55 55
1/2 27.5 55
1 1/2 82.55 55
2 110 55
better not get scammed
Answers
Answer:
slope:2
(0,2)
Step-by-step explanation:
-7x-1-5x=95 solve for X
Answers
Answer:
-8 = x
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of a second.
f(x) = -16x^2+272x+110
Answers
Answer:
The time that the rocket will hit the ground will be:
x = 17.40 secondsStep-by-step explanation:
Given the expression
[tex]f\left(x\right)\:=-16x^2+272x+110[/tex]
Here:
x represents the time in secondsy represents the height of the rocketWe know that when the rocket will hit the ground, the height will get y = 0
i.e.
[tex]0\:=-16x^2+272x+110[/tex]
solving for x to determine the time that the rocket takes when it will hit the ground.
so
[tex]-16x^2+272x+110=0[/tex]
subtract 110 from both sides
[tex]-16x^2+272x+110-110=0-110[/tex]
[tex]-16x^2+272x=-110[/tex]
Divide both sides by -16
[tex]\frac{-16x^2+272x}{-16}=\frac{-110}{-16}[/tex]
[tex]x^2-17x=\frac{55}{8}[/tex]
[tex]\mathrm{Add\:}\left(-\frac{17}{2}\right)^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{55}{8}+\left(-\frac{17}{2}\right)^2[/tex]
[tex]x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{633}{8}[/tex]
[tex]\left(x-\frac{17}{2}\right)^2=\frac{633}{8}[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solving
[tex]x-\frac{17}{2}=\sqrt{\frac{633}{8}}[/tex]
[tex]x=\frac{\sqrt{1266}}{4}+\frac{17}{2}[/tex]
x = 17.40 seconds
also solving
[tex]x-\frac{17}{2}=-\sqrt{\frac{633}{8}}[/tex]
[tex]x=-\frac{\sqrt{1266}}{4}+\frac{17}{2}[/tex]
x = -0.40 seconds
As time can not be negative.
Thus, the value of x = 17.40 seconds
Therefore, the time that the rocket will hit the ground will be:
x = 17.40 seconds
I really don’t get this , it’s graphing linear inequalities
Answers
The first step in graphing a linear inequality is to graph the linear equality. The equation -x + 4y = -8 is equivalent to 4y = x - 8, which is equivalent to [tex]y = \frac{1}{4}x - 2[/tex]. This is the equation for the line in slope-intercept form, so the line will have a slope of 1/4 and a y-intercept of -2 (see the first image). Notice that the line is solid, rather than dotted. This represents that points on the line are included in the solution, because the inequality sign is ≥, which is not a strict equality (< or >).
Next, we need to figure out which side to shade. To do so, simply pick any point (I like to use the point (0,0) because it makes the calculations easy) and see whether it satisfies the inequality. If it does, shade the side with that point, and if not, shade the opposite side of the graph.
Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).
Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and knitting needles was $69. Tamara writes an equation that represents the cost of each pair of knitting needles. If k represents the cost of each pair of knitting needles, which statements about verifying the value of k are true? Check all that apply.
0) Tamara should substitute k = 30 into the equation 39 + 2 k = 69
0) After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is equal to the right side.
0) Tamara should substitute k = 15 into the equation 39 + 2 k = 69.
0) After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is not equal to the right side.
0) To verify the solution to the equation, Tamara multiplies the solution by 2 and then adds it to 39. Then, she checks that it is equal to 69.
0) To verify the solution to the equation, Tamara adds the solution to 2 and then adds it to 69. Then, she checks that it is equal to 39.
Answers
Answer:
Tamara should substitute k = 30 into the equation 39 + 2 k = 69
Step-by-step explanation:
or you can do 69-39=30 so k=30
Answer:
A, C, F
Step-by-step explanation:
just trust me bruv.
Type the number only. What is the measure of ∠w?
HINT: You must take 360 and subtract the 2 angles you know. Then take the number you get and divide by 2.
Answers
Answer:
The answer should be 100
Step-by-step explanation:
360-80-80=200
200/2=100
What percent is equivalent to 1/25?
A)4%
B)5%
C)20%
D)25%
Answers
Description:
To calculate a percent of a number you must find the total amount or the whole number.
After that Divide the number that you wish to determine the percentage for
Then multiply the value from step two by 100.
To find the percent that is equivalent:
Firstly multiply the decimal number times number 100.
Then add to the answer to the % character.
In this case the answer is 4 percent.
Answer: 4 percent
Hope this helps.
Pls help i will give brainiest
Answers
Answer:
red
Step-by-step explanation:
Answer:
red
Step-by-step explanation:
The y-intercept is -2 and the slope is 3/1. so you start on the y-axis at -2 and move up 3 to the right one.
Several pennies are tossed in the air. Twelve land heads up and fifteen land tails up. Which of the following ratios are correct?
Answers
Answer:
the ratio is 4/5
Step-by-step explanation:
27 pennies all together. just divide the number of each group by the same thing till you no longer get a whole number. like 3÷12 and 3÷15. Do it till you get the smallest whole number for each
subtract (3x2-2x+5xy-7)from(8-9xy+3x2-5x)
Answers
Answer:
-3x-14xy+15
Step-by-step explanation:
[tex](8-9xy+3x^2-5x)-(3x^2-2x+5xy-7)\\\\=8-9xy+3x^2-5x-(3x^2)-(-2x)-(5xy)-(-7)\\\\=8-9xy+3x^2-5x-3x^2+2x-5xy+7\\\\=(8+7)+(-9xy-5xy)+(3x^2-3x^2)+(-5x+2x)\\\\=15-14xy+0-3x\\\\=-3x-14xy+15[/tex]
What is the answer of 1 Bobux+3 Bobux
Answers
Answer:
1bobux+3bobux= 4bobux
Step-by-step explanation:
Answer:
it's 4 bobux ;))
I need help with this answer?
Answers
Answer:
dont u have the answer
Step-by-step explanation:
John spent about 12 hours at a water park. He estimated he spent about 40% of the time waiting in line. What would be a reasonable amount of time he spent in line?
Answers
I'll give you brainiest and lots of points..
Select the correct answer.
What is the product of (7/8) (-16) (-7) (-1/14) ?
A. -7
B. -9/19
C. -1/7
D. 23/17
Answers
[tex]\\ \sf\longmapsto \left(\dfrac{7}{\cancel}8}}\right)\cancel{(-16)}\cancel{(-7)}\left(\dfrac{-1}{\cancel{14}}\right)[/tex]
[tex]\\ \sf\longmapsto 7(-2)(-1)(-1/2)[/tex]
[tex]\\ \sf\longmapsto -14(-1)(-1/2)[/tex]
[tex]\\ \sf\longmapsto -14/2[/tex]
[tex]\\ \sf\longmapsto -7[/tex]
In 2012, there were approximately 8,950 public libraries in the United States. A survey found that 76% of those libraries offered free access to electronic books. Based on this information, how many public libraries offered free access to electronic books in 2012?
Answers
Answer:
6,802
Step-by-step explanation:
Please help
Factor 5x^2-11x+6. Rewrite the trinomial with the X-term expanded using 2 factors
The answer starts as 5x^2_______+6
Answers
Answer:
[tex]5x^2-5x-6x+6[/tex]
Step-by-step explanation:
[tex]5x^2-11x+6\\5x^2-5x-6x+6[/tex]
we need to factorize it so the X-term expanded should satisfy two conditions
1) +5 times +6 should be +30
2) add or subtract any two numbers which multiply and give -11
so here -5 times -6 gives +30 and -5 added to -6 equals -11
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62, what is the percent error of Jocelyns estimate
Answers
Answer: The percent error is -2.1352% of Jocelyn's estimate.
Assessment started: undefined.
Item 1
Which expression represents [tex]x^2 + 8x + 16[/tex]in factored form?
[tex](x+4)(x-4)[/tex]
[tex](x−2)(x−8)[/tex]
[tex](x-4)^2[/tex]
[tex](x+4)^2[/tex]
Answers
Answer:
(x+4)
Step-by-step explanation:
8
Substitute 6 for h.
Answers
Answer:
2
Step-by-step explanation:
Answer:
Where is the equation.
Step-by-step explanation:
Maria is renting kayaks from a local shop that charges a $10 fee, plus an hourly rate of $7.50.
For how long can Maria rent the kayak if she pays a total of $70?
Answers
Answer:
8 hours
Step-by-step explanation:
70-10
60÷7.50= 8 hours
Calculate the slope of the line that passes through the points (1, −3) and (3, −5).
Answers
Answer:
m= -1
Step-by-step explanation:
slope is -1
I need help fast please hurry
Answers
Answer:
3 is the right one
Step-by-step explanation:
A circular mirror has a circumference of 50 inches. What is the
radius of the mirror? Show your work.
Answers
Answer:
7.96 inches
Step-by-step explanation:
[tex]2\pi r = 50\\r = 50/(2\pi )\\r = 7.96[/tex]
hope this helped!
how many birds fly south every year?
Answers
Answer:
I believe it is 4 billion
Step-by-step explanation:
Hope I helped!
Write the ratio as a fraction in lowest terms.
Compare in inches,
2 feet to 45 inches
Answers
Answer:
8 to 15
Step-by-step explanation:
2 feet times 12 inches is 24 and it is to 45 inches. You then need to simplify 24 and 45 by 3 to get 8 and 15 and to get the ratio 8 to 15.
Hope this helps!
14 divided by 413
[tex]14 \div 413[/tex]
Answers
Answer:
My answer was 0.0338983, 29 remainder 7
Step-by-step explanation:
Can someone help me please!! ASAP
Answers
Answer:
4. Domain: -3,-2,-1,0,1, and 2. Range: -2,0,2,4,2,0. It is a function
5. Domain: -3,-1,-1,1, 2,3 Range: 0,-1,2,0,-3,3. Not a function.
Step-by-step explanation:
Number four is a function because there is one x to one y but for five there are two x's to one y.
