Given:
Quadrilateral ABCD has vertices A(–1, –2), B(–1, 3), C(4, 3) and D(4, –2).
It's dilated by a factor of 2 with the center of dilation at the origin.
To find:
The coordinates of the resulting quadrilateral A'B'C'D'.
Solution:
The figure dilated by a factor of 2 with the center of dilation at the origin. So, the rule of dilation is
[tex](x,y)\to (2x,2y)[/tex]
Using the above rule, we get
[tex]A(-1,-2)\to A'(2(-1),2(-2))=A'(-2,-4)[/tex]
[tex]B(-1,3)\to B'(2(-1),2(3))=B'(-2,6)[/tex]
[tex]C(4,3)\to C'(2(4),2(3))=C'(8,6)[/tex]
[tex]D(4,-2)\to D'(2(4),2(-2))=D'(8,-4)[/tex]
Therefore, the coordinates of the resulting quadrilateral A'B'C'D' are A'(-2,-4), B'(-2,6), C'(8,6) and D'(8,-4).
In numbers 8 & 9, graph f(x). Show all asymptotes and/or holes, x- & y-intercepts, and end
behavior.
8) f(x) =
x2 - 7x + 12
x-4
6
y-int:
HA:
Hole:
6
VA:
6
X-int:
8
10
Answer:
8fx=;x2-7x+12;x-4;6
Step-by-step explanation:
x2" was replaced by "x^2".
Find the slope.
15
N
0 1
2
3
4
5
6
7
a
2
b
1/2
с C
2/4
d
Answer:
2/4
Step-by-step explanation:
graph is shown in the figure.
y
2
y= 20
(2, 10)
(0,5)
х
pls help
math work
bleh
Answer:
j = 8j = 3j = 6I hope this helps!
the lengths of the sides of a triangle are 14, 15, and x. What are all of the possible values of x?
Answer b and e
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
did test
HELP PLEASE FOR MATH TEST REVIEW
Answer:
Average rate of change; 1
Step-by-step explanation:
[tex]g(x) = x^{2} + 10x + 20[/tex]
[tex]-9\leq x\leq 0[/tex]
1. Find the end-points of the given interval
Input (-9) and (0) into the equation.
Input (-9)
[tex](-9)^2 + 10(-9) + 20[/tex]
81 - 90 + 20
11
point is; (-9, 11)
Input (0)
[tex](0)^2 + 10(0) + 20[/tex]
0 + 0 + 20
20
point is; (0, 20)
2. Find the slope
Now find the slope between the two points, the equation for the slope is;
[tex]\frac{y_{2}-y_{1}}{x_2-x_1}[/tex]
Substitute in the points;
[tex]\frac{11-20}{0-(-9)}[/tex]
-[tex]\frac{9}{9}[/tex]
= -1
HELPPPP FIND VALUE OF Y !!!
Answer:
Y=13
Step-by-step explanation:
X is 45 so
45+5y+5=9y-2 solve and y=13
Answer:
y = 13
Step-by-step explanation:
x + 135 = 180 {linear pair}
x = 180 - 135
x = 45
9y - 2 = 5y + 5 + x {Exterior angle property of triangle}
9y - 2 = 5y + 5 + 45
9y - 2 = 5y + 50 {Subtract 5y from both sides}
9y -5y -2 = 50
4y - 2 = 50 {Add 2 to both sides}
4y = 50 + 2
4y = 52 {Divide both sides by 4}
y = 52/4
y = 13
How many students voted for each
participant?
Answer:
12 people voted for Matthew and 18 people voted for Diana.
Step-by-step explanation:
1. Multiply 30 by 0.4 to get 12.
2. Subtract 12 from your total of 30. The remaining 18 votes belong to Diana.
NEED HELP ASAP PLEASE SHOW WORK
Step-by-step explanation:
—Mathx² – 2x + 7 = 4x – 10
x² –2x – 4x + 7 + 10= 0
x² –6x + 17 = 0
3 packs of pens costs $13.85, how many packs of pencil can we buy for $39.60? Form Proportion first
Answer:
8 Packs
Step-by-step explanation:
If you set up the form proportion:
(3packs/$13.85) x ($39.60/1) = 8.5777
Since you can not purchase half a pack, the answer rounds down leaving you with 8 packs of pens.
5th grade math. Correct answer will be marked brainliest.
Answer:
45.2 × 10⁰ = 45.2 (a⁰ = 1 )
45.2 × 10¹ = 452
45.2 × 10² = 4520
45.2 × 10³ = 45200
Answer:
My siblings ALWAYS have think central, its annoying.
Step-by-step explanation:
1. 45.2
2. 452
3. 4520
4. 45200
Its like moving the place value and adding a 0. I used Desmos Scientific Calculator to check my answers.
which expression is equivalent to 1/3 p+15
1/3(p+45)
1/3(p+5)
3(p+45)
3(p+5)
Answer:
1/3(p + 45)
Step-by-step explanation:
1/3(p + 45)
1/3p + 45/3
1/3p + 15
Answer:
A. [tex]\frac{1}{3}(p+45)[/tex]
Step-by-step explanation:
Factor 1/3 out of each term
What’s the answer for this question?
Answer:
d.
Step-by-step explanation:
you would put 4 in the x places and 2 in the yplaces and then you would distribute 4^2 +3(2)/4(2)
16+6/2=22/8=2 3/4
Find your pay for working 30 hours
To solve, all we need to do is set up a ratio
7. 5 hours = $45
30 hours = ??
[tex]\frac{7.5}{30} = \frac{45}{x}[/tex]
solve with cross multiplication
7.5(x) = 45 x 30
7.5x = 1,350
continue to solve
[tex]\frac{1,350}{7.5} = x[/tex]
x = $180
So, if you work for 30 hours, you should earn $180 !!
A jug of orange juice requires 3 cans
of orange concentrate and 5 cans of
water.
a) Accidentally, 4 cans of
concentrate were mixed with 5
cans of water. Is the mixture
stronger or weaker than it
should be? Explain.
b) Suppose 6 cans of water were
mixed with 3 cans of
concentrate. Is the mixture
stronger or weaker
than it should be? Explain.
Answer:
the answer is is 12 bc 4 - 5 - 6 - 3= 12
In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if: m∠A = α, m∠B = β
The angle at D which is m∠ADB is calculated to be 180 - ( α + β ) / 2
How to find < ADBGiven data
< A = α
∠ B = β
Angle bisectors divides the given angle into two and form a triangle which is ∆ADB
The angles that form ∆ADB are as follows
< A = α / 2
∠ B = β / 2
to find < D we use sum of angles in a triangle which is 180 degrees and solve as follows
< A + < B + < D = 180 degrees
where < D = m∠ADB, substituting the other values gives
α / 2 + β / 2 + < D = 180
( α + β ) / 2 + < D = 180
< D = 180 - ( α + β ) / 2
Since < D = m∠ADB .We can therefore say that m∠ADB = 180 - ( α + β ) / 2
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Heather has a weighted coin that has a 60% chance of landing on heads each time it is flipped. She is
going to flip the coin 5 times.
Which of the following would find the probability of Heather getting exactly 3 heads in 5 flips of her
weighted coin?
Choose 1 answer:
60
3
(0.60) (0.40)
© (1) (3)06 (2)04
(3) (0.60)*(0.40)
(5
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
a marathon swim follows a triangular course marked with three buoys, a, b, and c. the distance from buoy a to b is 400 meters, b to c is 500 meters, and c to a is 600 meters. what is the largest angle the swimmers must turn between the buoys? 97.181° 82.819° 55.771° 41.410°
The largest angle the swimmers must turn between the buoys is 82.8°. Therefore, option B is the correct answer.
Given the following data:
Side AB = c = 400 meters.
Side BC = a = 500 meters.
Side CA = b = 600 meters.
How do determine the largest angle?In order to determine the largest angle at which the swimmers must turn between the buoys, we would apply the law of cosine.
Form the law of cosine, for angle C we have:
cos C= (a²+b²-c²)/2ab
=(500²+600²-400²)/2×500×600
=450000/600000
cos C=0.75
⇒C=41.4°
For angle B we have:
cos B= (a²+c²-b²)/2ac
=(500²+400²-600²)/2×500×400
=1/8
cos B=0.125
⇒B=82.8°
For angle A, we have:
cos A= (b²+c²-a²)/2ac
=(600²+400²-500²)/2×600×400
=9/16
cos A=0.5625
⇒A=55.8°.
The largest angle the swimmers must turn between the buoys is 82.8°. Therefore, option B is the correct answer.
Read more on the law of cosine here:
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11x−24=8x
what is x?
Answer:
x=8
Hope this helps! Brainliest?
find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points
(x, y, z) = (k, 0, 0) + α (0,0,1) - this is the equation is parallel to the z-axis and passes through the midpoint between the two points.
What is slope of a parallel line?The slant of a line is registered as for the positive x-hub and the equal lines are similarly disposed regarding the positive x-pivot. At the point when planets are a similar distance yet on inverse sides of the divine equator they are alluded to as being contra-equal. The equal lines are similarly disposed with the positive x-pivot and thus the incline of equal lines is equivalent. Equal lines and their inclines are simple. Since incline is a proportion of the point of a line from the level, and since equal lines should have similar point, then equal lines have similar slant and lines with a similar slant are equal. Opposite lines are somewhat more muddled.
Learn more about slope of a parallel line, refer:
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WILL GIVE BRAINLIST IF RIGHT
Is either of the relationships proportional in the graph below?
The relationships are not proportional.
One of the lines, as x increases, y increases
Another, when x increases, y decreases.
Determine the intercepts of the line.
y = -32 + 12
y-intercept:
x-intercept:
Answer:
y-intercept: 12
x-intercept: unknown
Step-by-step explanation:
I think you meant y=-32x+12.
15. If 40% of the students in your class are women and 50% of the women have brown hair,
which of the following describes the percentage of the students in your class who are
women with brown hair?
(a) (40%) (50%) = 20%
(b) 50% - 40% = 10%
(c) 40% + 50% = 90%
(d) The percentage of women cannot be determined from the given information.
Graph the function.
Plz help ASAP !!
In the following diagram k || h. Which of the following is m<1?
(1) 12°
(3) 84°
(2) 54°
(4) 126°
Answer:
54
Step-by-step explanation:
im sorry if its wrong
The reequired measure of the angle m is given as 84°.
Given that,
A diagram of the parallel is shown we have to determine the measure of the angle.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the question,
∠1 = 180 - 42 - [180-126]
∠1 = 180 - 42-54
∠1 = 84°
Thus, the required measure of the angle m is given as 84°.
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I need help please:):)
Answer:
(0,0)
Step-by-step explanation:
y value divided by x value for slope, then use desmos
Tia used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy:
The ratio of DA:HE is 1:2. What is the length, in meters, of side FG on the photocopied image?
14
17
28
34
Answer:
I think its 28.
Step-by-step explanation: Dont take my word for this tho
the ratio is 1:2 and that would mean that whatever length DA, HE is 2 times.
The length of BC is 14 so 14 x 2 is 28.
The length, in meters, of side FG on the photocopied image is 28 m and this can be determined by using the concept of dilation.
Given :
Tia used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy.The ratio of (DA : HE) is 1:2.AB = 17 mBC = 14 mThe following steps can be used in order to determine the length, in meters, of side FG on the photocopied image:
Step 1 - According to the given data, the side length of DA is 2 times the side length of HE.
Step 2 - From the above step, it can be concluded that 2 is the dilation factor.
Step 3 - From the given data, the length of BC is 14m. So, the length of the side FG is given by:
FG = 2 BC
Step 4 - Substitute the value of length of side BC in the above expression.
FG = 2(14)
FG = 28 m
Therefore, the correct option is C).
For more information, refer to the link given below:
https://brainly.com/question/24140933
Students will randomly select a tile from a bag containing one red, one yellow, one blue, and one green tile, and then roll a cube with faces numbered 1 through 6. What is the probability that a student draws a red or yellow tile, and rolls a number between 1 and 3.
Answer:
[tex]\bold{\dfrac{1}{4}}[/tex]
Step-by-step explanation:
Number of red tiles = 1
Number of yellow tiles = 1
Number of blue tiles = 1
Number of green tiles = 1
Total number of tiles = 4
Also, given that there is a standard dice with faces numbered from 1 to 6.
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
First of all, let the event [tex]A[/tex] be event that a red or yellow tile is chosen.
Number of favorable cases = 2
Total number of cases = 4
[tex]P(A) = \dfrac{2}{4} = \dfrac{1}{2}[/tex]
Let the event [tex]B[/tex] be event that a number between 1 and 3.
Number of favorable cases = 3
Total number of cases = 6
[tex]P(B) = \dfrac{3}{6} = \dfrac{1}{2}[/tex]
[tex]P(A\ and\ B) = P(A).P(B)[/tex]
[tex]P(A\ and\ B) = \dfrac{1}{2}.\dfrac{1}{2} = \bold{\dfrac{1}{4}}[/tex]
Answer:
1/4
Step-by-step explanation:
When 4(0.5x + 2.5y - 0.7x -1.3y + 4) is simplified, what is the resulting expression?
A: -0.8x + 4.8y + 16
B: 0.8x - 4.8y + 16
C: -0.8x - 4.8y + 4
D: 0.8x + 4.8y + 4
Answer:
-0.8x+4.8y+16
Step-by-step explanation:
[tex]4(0.5x+2.5y-0.7x-1.3y+4)\\4(-0.2x+1.2y+4)\\4(-0.2x)+4(1.2y)+4(4)\\-0.8x+4.8y+16[/tex]
What is the first step when solving the equation?
2x - 31 = -9x + 24
subtract 9x from both sides
add 9x to both sides
add 2x to both sides