Line segment SU is dilated to create S'U' using point Q as the center of dilation.
The scale factor of the dilation is:
Answers
If a point divides any line segment into two equal parts, then the point is the mid-point of that line. The ratio of the whole line segment and the distance from mid-point to any end point of the line segment is always 2:1, hence the scale factor of the dilation is 2.
To find the scale factor of the dilation, we need to find the ratio from initial point of the line segment to the distance from the point that is lie on that line segment.
Following points can be concluded from the given conditions.
It is shown in the figure that the distance from Q to S is 4 unit, and the distance from Q to S' is 8 unit.The distance from Q to U is 5 unit and the distance from Q to U' is 10 unit.U and S both are the mid-points of the line segment QU' and QS' respectively.The ratio of the whole line segment and the distance from mid-point to any end point of the line segment is always 2:1, hence the scale factor of the dilation is 2.
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Related Questions
80 PTS
In the triangle below X=[?] cm. Round to the nearest tenth.
Answers
Answer:
x = 8.6 cm
Step-by-step explanation:
To find x, we need to take the sin ratio of the 35° angle.
Identity
sin∠x = opposing side length / length of hypotenuseSolving
sin35° = 0.57sin35° = x/15⇒ x/15 = 0.57⇒ x = 15 × 0.57⇒ x = 8.55 cm⇒ x = 8.6 cmThe minute hand on a watch is 14 millimeters long. In the
of Y
Jourse
of an hour, how much area does it cover? Leave answers in terms of pi
A)
77 mm
B)
2871 mm
c)
497 mm2
D)
19671 mm
Answers
Answer:
the answer is the number of the color of the alphabet 2871 mm
If angles a & b are vertical angles and the measure of angle a is 123 degrees and the measure of angle b is 3x, what is the value of x?
Answers
Answer:
x = 41
Step-by-step explanation:
vertical angles are congruent , then
3x = 123 ( divide both sides by 3 )
x = 41
The number line shows the locations of points P 0. R. and S 털 HR & -7 -6 = Which points have a distance of 5 units between them? A. point P and point S B. point Q and point R C. point Q and point S D. point R and points
Answers
Answer: point P and point S
Step-by-step explanation:
took the test
Answer:
to be honest i don't know sorry
Step-by-step explanation:
The axis of symmetry for the graph of the function f(x)=3x2 bx 4 is x equals three-halves. what is the value of b? −18 −9 9 18
Answers
Using the vertex of the quadratic equation, it is found that the value of b is of -9.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
The axis of symmetry is [tex]x = x_v = -\frac{b}{2a}[/tex].
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, we have that the function is defined as follows:
[tex]f(x) = 3x^2 + bx + 4[/tex]
We have that [tex]a = 3, x_v = \frac{3}{2}[/tex], hence the value of b is found as follows:
[tex]x = -\frac{b}{2a}[/tex]
[tex]\frac{3}{2} = -\frac{b}{6}[/tex]
b = -6 x 3/2
b = -9.
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A geometric sequence begins 8,16,32,64.... let x be the 53rd term in this sequence. compute log_2(x)
Answers
These are sequence that increases in an exponential manner. The value of the log function is 55
Geometric sequenceThese are sequence that increases in an exponential manner. The nth term of the sequence is expressed as:
Tn = ar^n-1
Given the following
first term a = 8common ratio "r" = 16/8 = 2number of terms n = 53Substitute
Tn = x = 8(2)^52
x = 8(2)^52
Take the log of the result to have:
[tex]log_28(2)^{52} = log_22^{55}\\ log_22^{55} = 55log_22=55[/tex]
Hence the value of the log function is 55
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5. a) Among 72 students, 24 are selected to participate in music only, 26 are selected to participate in dance only and none of them participated in both activities. The rest of the students are selected in other activities. (i) How many students are participating in other than music or dance?
Answers
Answer
The students participating in other than music or dance = 22
Step by step explanation
Total number of students = 72
No. of students participating in dance = 26 (let them be 'a')
No. of students participating in music = 24 (let them be 'b')
No. of students participating in othe na than dance or music = 'c'
72 = a+b+c
= 26+24+c
= 50 + c
c (no. of students participating in other activities)
= 72 - 50 = 22
John paid $7.99 for 3 boxes of cereal. The tax was $1.69. Excluding tax, how much did john pay for each box of cereal if they all were the same price.
Answers
. The following set of ordered pairs represents y as a function of x. Which
the following could be
the missing ordered pair?
{(9, 8), (-2, -14), (6, 2), (-3, -16), (_,_}?
Answers
Answer: Justice
Step-by-step explanation: The answers justice
Answer quickly please I really need this answer right now
A bag contains:
• 5 red marbles
• 6 blue marbles
• 3 green marbles
• 2 yellow marbles
• 4 purple marbles
A student draws a random marble from the bag, records its color, and returns
it to the bag. The student makes a total of 60 draws. What is a reasonable
prediction for the number of times a green marble will be drawn?
O A. 18
O B. 10
Ос. 9
O D. 12
Answers
Answer:
Answer Choice A (8, eight)
Step-by-step explanation:
To begin, add all of the marbles together. When finished, the answer should be 20. Because the variable 20 equals 100, you divide 4 by 100. You will get 0.04 as a result. This multiplied by 20 equals 8. Finally, the answer is A.
Here is a table showing all 52 cards in a standard deck.
Face cards
Color Suit Ace Two Three Four Five Six Seven Elght Nine Ten Jack Queen King
Red Hearts AY 2 3 4 5 6 7 8 9 10 JY Qv Ке
Red Diamonds A. 2. 30 . 5. 6.
8. 9. 10. J. Q.
Black Spades A. 2. 34 4 58 68 7 84 9. 10. JA Q К.
Black Clubs At 21 34 46 54 64
84 94 104 JA Q4 К.
40
K.
ささき
A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the
deck.
What is the probability that both of the cards are black?
Do not round your intermediate computations. Round your final answer to four decimal places.
Х
5
?
Check
Save For Later
Submit A
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hD
Answers
Probability helps us to know the chances of an event occurring. The probability of two cards being black without replacement is 24.5%.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given the standard deck has 26 black cards while the total number of cards is 52. Therefore, the probability of two cards being black without replacement is,
Probability = (Probability of the first card is black) × (Probability of the second card being black)
Probability = (26/52) × (25/51)
Probability = 0.245 = 24.5%
Hence, the probability of two cards being black without replacement is 24.5%.
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What is x?
3(2x + 4) - 8x = -2(x + 1) + 3
50 points because I have a lot :/
Answers
Answer:
no solution
Step-by-step explanation:
Given equation:
3(2x + 4) - 8x = -2(x + 1) + 3
Expand the brackets:
⇒ 3(2x) + 3(4) - 8x = -2(x) - 2(1) + 3
⇒ 6x + 12 - 8x = -2x - 2 + 3
Collect like terms:
⇒ 6x - 8x + 12 = -2x - 2 + 3
Combine like terms:
⇒ -2x + 12 = -2x + 1
Subtract 12 from both sides:
⇒ -2x + 12 - 12 = -2x + 1 - 12
⇒ -2x = -2x - 11
Add 2x to both sides:
⇒ -2x + 2x = -2x +2x - 11
⇒ 0 = -11
The sides are not equal, therefore there is no solution
Answer:
There are no values of x that make the equation true.
Question
Consider the rectangle.
The x and y axes have a range from negative 7 to 7 in increments of 1. A rectangle is on the coordinate plane.
Which points could be the vertices of the image of the rectangle after it is dilated from the origin by a scale factor of 3? Select all that apply.
Answers
Answer:
Step-by-step explanation:
Dilating with a scale factor of 3 centered at the origin means we multiply all the coordinates by 3.
(0,2) maps onto (0,6).(0,4) maps onto (0,12).(3,2) maps onto (9,6).(3,4) maps onto (9,12).Therefore, the answers are the second option and the sixth option.
CAN I PLEASE NOT HAVE TO DO A FREE TRIAL
Answers
Answer: u don’t have to do it at all like u don’t have to do anything on brainly
Step-by-step explanation:
Grace wants to find the probability of a family of 3 children having 2 boys and 1 girl. Use a tree diagram to list the possibilities and state the probability of 2 boys and 1 girl.
A) 3/8
B) 2/3
C) 5/8
D) 1/2
Answers
Answer:
Step-by-step explanation:
My approach was to draw out the probabilities, since we have 3 children, and we are looking for 2 boys and 1 girl, the probabilities can be Boy-Boy-Girl, Boy-Girl-Boy, and Girl-Boy-Boy. So a 2/3 chance if you think about it, your answer 2/3 can't be correct. If we assume that boys and girls are born with equal probability, then the probability to have two girls (and one boy) should be the same as the probability to have two boys and one girl. So you would have two cases with probability 2/3, giving an impossible 4/3 probability for both cases. Also, your list "Boy-Boy-Girl, Boy-Girl-Boy, and Girl-Boy-Boy" seems strange. All of those are 2 boys and 1 girl, so based on that list, you should get a 100 percent chance. But what about Boy-Girl-Girl, or Girl-Girl-Girl? You get 2/3 if you assume that adjacencies in the (ordered) list are important, i.e., "2 boys and a girl" means that the girl was not born between the boys.
Tamiya's flower garden has 15 rows of 32 red rose flowers each
Answers
Answer:
She has 480 red roses in total
Step-by-step explanation:
Learning Task 2 A. Calculate the mean, median and mode. (3 points each) 1.) 1, 2, 3, 4, 5 2.) 2, 3, 4, 5, 6, 6 3.) 6, 7, 5, 4, 5, 6,2, 5
Answers
Answer:
the median will be 5
the mode will be 1300
the mean is I don't know.
Step-by-step explanation:
I don't know exactly but I am trying
see attachment below.
Answers
27.2 in.
Step-by-step explanation:
Using 2 pi r theta over 360°
Arc length =2/3 x pi x 13 in.
=27.227136 in.
Find the equation of the line that
is parallel to y = -5x – 9 and
contains the point (-3, -3).
=
-
-
y = [? ]x + [ ]
Pls help I’ll mark brainliest
Answers
- - - -- - - - - - - - - - - - - - - -- - - - - -- - - - - - - -- - - - - - - -- - - - - --
[tex]\blue{\textsf{\textbf{Question:-}}}[/tex]
What is the equation of the line parallel to y=-5x-9 and contains the point (-3, -3)?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
First of all, parallel lines have the exact same slope.
So we know the slope of the line:- -5.
(enter -5, It's the number that belongs in the green box)
How about the y-intercept?
Well, since we're given the slope and a point that the line intersects, we can write the line's equation in point-slope form:-
y-y1=m(x-x1)
y-(-3)=-5(x-(-3)
y+3=-5(x+3)
y+3=-5x-15
y=-5x-18
Good luck.- - - -- - - - - - - - - - - - - - -- - - - - - - - - - - - -- - - - - - - - - - - - - - -- - - - -
The equation of line which is parallel to y= -5x - 9 is y=-5x-18.
What is equation of line?The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.
Given:
y= -5x - 9 passes the point (-3, -3)
As, the slope of parallel lines are
m1 = m2 = -5
Now, if the point (-3, -3) intersects the line then equation in point-slope form is
y-y1=m(x-x1)
y-(-3)=-5(x-(-3)
y+3=-5(x+3)
y+3=-5x-15
y=-5x-18
Hence, the equation of line is y=-5x-18
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calculate the area of the triangle so yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
A= 99
Step-by-step explanation:
Tyrell has a bankruptcy on his credit report and therefore pays higher interest rates on his current loans. he calculates that the extra money he pays in additional interest each year, if invested at the rate of 2.5% for one year, could earn him simple interest totaling $300. how much does tyrell pay in additional interest each month? a. $90 b. $100 c. $1,000 d. $12,000 please select the best answer from the choices provided. a b c d
Answers
Based on the simple interest amount he could be making, and the rate of investment, Tyrell's additional interest per month is $1,000.
How much is Tyrell paying in additional interest?Assuming the additional interest that Tyrell is paying is x, the following formula can be used:
300 = (x × 2.5%) x 12 months
Solving gives:
300 = 0.025x × 12
0.025x = 300/12
x = 25 / 0.025
x = $1,000
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Answer:
1,000
Step-by-step explanation; trust me
estimate the value of 1573 + 1211
- 697.
Answers
Answer:
2087Step-by-step explanation:
1578+1211-697 2784-697 =2087 this is my answerTrue or false: If Gis the incenter of A ABC, then
GD = GE = GF.
--
B
E
G
А
c
F
F
O True
O False
Answers
Answer:
False
Step-by-step explanation:
That is not what an incenter is
The length GD, GE, and GF are the radius of the circle. Then GD = GE = GF is true. Thus, option A is correct.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The G is the intersection of the bisector lines. So, the G represents the center of the incircle.
The incircle will touch all three sides of the triangle. And the distance between the center of the circle to the sides of the triangle will be known as the radius and tangent to the circle.
Then we can write a condition for a circle. Then we have
GD = GE = GF = Radius
The length GD, GE, and GF are the radius of the circle. Then GD = GE = GF is true. Thus, option A is correct.
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the average of 21, 18, 16 and x is 20. what is the value of x?
Answers
Answer: 25
Step-by-step explanation:
21 + 18 +16 + X = 20×4
55 + X = 80
X = 80- 55
Answer:
21.75
Step-by-step explanation:
21- 16 = 5
5/2 2.5
16 + 2.5 or 21 - 2.5
18.5 - 18 = .5
1/2 times 1/2 =
1/4
1/4 = .25
18.5 - .25 or 18 + .25
18.25
20 - 18.25 = 1.75
1.75 + 20
21.75
6, 2, 8, 4, 9
How would the median change if the 6 was replaced by a 3?
Answers
Answer:
4
Step-by-step explanation:
first you put them all in smalet to bigest so it would be 2, 4, 6, 8, 9 but if them 6 was 3 it would be 2, 3, 4, 8, 9
median is the middle numder
Hope This Helped
helppppppppppppppppppppppppp
Answers
Answer:
Hope this helps
Step-by-step explanation:
72 - 75 = 4
76 - 79 = 3
80 - 83 = 5
84 - 87 = 1
88 - 91 = 3
The height of a ball kicked into the air from the ground can be approximated by the function
h=-5t^2 + 15t, where h is the
height in meters and t is the time in seconds.
Find the time it takes the ball to hit the ground. Show all work
Answers
Check the picture below, so that happens when h = 0.
[tex]\stackrel{h}{0}~~ = ~~-5t^2+15t\implies 0=-5t(t-3)\implies 0=t(t-3)\implies t= \begin{cases} 0\\ 3~\checkmark \end{cases}[/tex]
now, notice, 0 is also a solution, which means at 0 seconds the ball was touching the ground, well, it was kicked "from" the ground, so at 0 seconds it was initially on the ground anyway.
Mr. Greg had $300 to
purchase equipment
for summer camp. He
bought 6 basketballs
and 6 soccer balls.
Each basketball cost
$16.98, and each
soccer ball cost
$13.79.
Answers
Answer:
c
Step-by-step explanation:
6 x 16.98 = 101.88
+ 6 x 13.79 = 184.62
300 - 184.62 = 115.38
Answer:
$115.38
Step-by-step explanation:
6×$16.98=$101.88=cost of basketballs
6×$13.79=$82.74=cost of soccer balls
cost of basketballs + cost of soccer balls = total cost
$101.88+$82.74=$184.62
money to purchase - total cost = leftover money
$300.00 - $184.62 = $115.38
hope this helps
please can i get brainliest
Solve th simultaneous equations
3x + y = 17
2x +y = 12
Answers
Answer:
I can't I'm blind and Def
A solid with surface area 216 square meters and volume 324 cubic meters is dilated by a
scale factor of k to obtain a solid with surface area 24 square meters.
Find the value of k which leads to an image with the given surface area.
Find the volume of the dislates solid
Answers
Answer:
A solid with surface area 216 square meters and volume 324 cubic meters is dilated by a scale factor of k to obtain a solid with surface area 24 square meters. Find the value of k which leads to an image with the given surface area. Find the volume of the dilated solid.
