Reflect the figure over the line y = -2x - 3.
Plot all of the points of the reflected figure.
You may click a plotted point to delete it.
-10 -9 -8
7
-6 -5
10
-10
3 4
5
6
7
8
9
10
Answers
The coordinates of the vertices of the image of the triangular figure with vertices (-5, -3), (-2, -9), (-5, -8) are the points (3, 3), (6, -5), (7, -2)
What is a reflection transformation?A reflection transformation is one in which the image points are mirrored about a line of reflection.
The coordinates of the vertices of the triangle following a reflection about the line y = -2·x - 3 can be found as follows;
The coordinates of the vertices of the triangle are; (-5, -3), (-2, -9), (-5, -8)
The slope of the line y = -2·x - 3 is m₁ = -2, therefore, the slope, m₂ of the line of reflection is m₂ = -1/(-2) = 1/2
The equations of the line of reflection are therefore;
y = (1/2)·(x + 5) - 3 = 0.5·x - 0.5
y = 0.5·x - 0.5
The point of intersection can therefore be found as follows;
0.5·x - 0.5 = -2·x - 3
Which indicates, using an online calculator, x = -1
y = 0.5 × (-1) + 0.5 = 0
The point of intersection of the line from (-5, -3) to the image and the line of reflection is (-1, 0)
(x₁ + x₂)/2 = -1
(-5 + x₂)/2 = -1
x₂ = 3
Similarly; (y₁ + y₂)/2 = 0
(-3 + y₂)/2 = 0
y₂ = 3
The image of the point (-5, -3) following a reflection is (3, 3)
Equation of the line from point (-2, -9) is; y = 0.5·(x + 2) - 9
y = 0.5·x + 1 - 9 = 0.5·x - 8
The point of intersection is; 0.5·x - 8 = -2·x - 3
Which indicates x = 2 and y = -7
(x₁ + x₂)/2 = 2
(-2 + x₂)/2 = 2
x₂ = 6
Similarly; (y₁ + y₂)/2 = -7
(-9 + y₂)/2 = -7
y₂ = -5
The coordinate of the point (-2, -9) following a reflection about the line y = -2·x - 3 is (6, -5)
The equation from the perpendicular line to the line of reflection from the point (-5, -8), is; y = 0.5·(x + 5) - 8 = 0.5·x + 2.5 - 8 = 0.5·x - 5.5
y = 0.5·x - 5.5
The point of intersection with y = -2·x - 3 is therefore at the point; 0.5·x - 5.5 = -2·x - 3
x = 1
y = -5
(x₁ + x₂)/2 = 1
(-5 + x₂)/2 = 1
x₂ = 7
Similarly; (y₁ + y₂)/2 = -5
(-8 + y₂)/2 = -5
y₂ = -2
The coordinate of the point (-5, -8) following a reflection about the line y = -2·x - 3 is (7, -2)
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Related Questions
What is the unit rate for cats per dog if there's 72 cats and 12 dogs
Answers
Answer:
6 dogs
Step-by-step explanation:
72 divided by 12=6
Please mark brainliset
Answer:
6:1, 6/1, or 6 to 1
Step-by-step explanation:
72/12
72/12=6
12/12=1
6/1
Graph the function.
Plz help ASAP !!
Answers
Which of the following correctly simplifies the expression
?
Answers
Answer:
4) 81/16
Step-by-step explanation:
Just solve the equation,
{3^2.5^0/4}^2
(9×1/4)^2
(81/16)
Hope it helps!
Answer:
4
Step-by-step explanation:
Bob borrows $5.50 from his friends three times a week. Write an equation to repress the change in Bob's money this week
Answers
Answer:
Equation: $5.5+$12.75
Step-by-step explanation:
HELP PLEASE FOR MATH TEST REVIEW
Answers
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
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
Answers
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]
 Kiba and Akamura went out to eat. Their bill was $ 59.76. If Kiba leaves a 7% tip and 8% tax, how much did he pay in total?
Answers
Answer:
Step-by-step explanation:
(tip)4.183+(tax)4.7808=8.9638 (this is the tip and tax)
59.76+8.9638=68.7238
You can include the thousandth but some school don't use that so you could put 4.781 for tax and 8.964 for tip and tax sum and for the total of everything 68.724
HELPPPP FIND VALUE OF Y !!!
Answers
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
m
and m
A) -9
C) 0
B) 10
D) -10
A
B
C С
D
Answers
Answer:
B
Step-by-step explanation:
∠ BSR + ∠ TSB = ∠ TSR , substitute values
2x + 17 + 5x + 15 = 102 , that is
7x + 32 = 102 ( subtract 32 from both sides )
7x = 70 ( divide both sides by 7 )
x = 10 → B
which expression is equivalent to 1/3 p+15
1/3(p+45)
1/3(p+5)
3(p+45)
3(p+5)
Answers
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
WILL GIVE BRAINLIST IF RIGHT
Is either of the relationships proportional in the graph below?
Answers
The relationships are not proportional.
One of the lines, as x increases, y increases
Another, when x increases, y decreases.
I need help please:):)
Answers
Answer:
(0,0)
Step-by-step explanation:
y value divided by x value for slope, then use desmos
pls help
math work
bleh
Answers
Answer:
j = 8j = 3j = 6I hope this helps!
find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points
Answers
(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.
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graph is shown in the figure.
y
2
y= 20
(2, 10)
(0,5)
х
Answers
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
Answers
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).
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Answers or correcting please
Answers
Answer:
Looks right to me! Great work!
Find the slope.
15
N
0 1
2
3
4
5
6
7
a
2
b
1/2
с C
2/4
d
Answers
Answer:
2/4
Step-by-step explanation:
11x−24=8x
what is x?
Answers
Answer:
x=8
Hope this helps! Brainliest?
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
Answers
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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NEED HELP ASAP PLEASE SHOW WORK
Answers
Step-by-step explanation:
—Mathx² – 2x + 7 = 4x – 10
x² –2x – 4x + 7 + 10= 0
x² –6x + 17 = 0
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.
Answers
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:
Find your pay for working 30 hours
Answers
45/7.5=6
6 dollars an hour
6*30=180
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 !!
Express the number 100 as a product of its prime factors.
Answers
Answer:
So, the prime factors of 100 are written as 2 x 2 × 5 x 5 or 22 x 52, where 2 and 5 are the prime numbers. It is possible to find the exact number of factors of a number 100 with the help of prime factorisation. The prime factor of the 100 is 22 x 52. The exponents in the prime factorisation are 2 and 2.
Step-by-step explanation:
Answer:
The prime factorization of 100 is 2 * 2 * 5 * 5. Using exponents, this number can also be written as 2^2 * 5^2.
In the following diagram k || h. Which of the following is m<1?
(1) 12°
(3) 84°
(2) 54°
(4) 126°
Answers
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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Bart found 20 quadrilaterals in his classroom. He made a Venn diagram using the properties of the quadrilaterals, comparing those with four equal side lengths (E) and those with four right angles (R). Circles E and R overlap. Circle E contains 3, circle R contains 6, and the intersection contains 2. Number 9 is outside of the circles. Given that a randomly chosen quadrilateral has four right angles, what is the probability that the quadrilateral also has four equal side lengths? Express your answer in percent form, rounded to the nearest whole percent. 25% 33% 40% 67%
Answers
Answer:
A. 25%
Step-by-step explanation:
The probability that the quadrilateral has four equal side lengths, given that the quadrilateral has four right angles is 25%
What are quadrilaterals?Quadrilaterals are shapes that have four sides; these four sides may or may not be:
ParallelCongruentCheck below on how to determine the probability
From the question, we have the following parameters:
n(E) = 5n(R) = 8n(E and R) = 2None = 9n(U) = 20The probability that the quadrilateral has four equal side lengths, given that the quadrilateral has four right angles is calculated using:
P(E | R) = n(E and R)/n(R)
This gives
P(E | R) = 2/8
Express as percentage
P(E | R) = 25%
Hence, the probability is 25%
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What is 60% of 125? Enter your answer in the box.
Answers
Answer:
75
explanation: because i looked it up
Find the slope of the line. Write your answer in simplest form.
Answers
Points given: (-4,1) and (1,-2)
(-2-1)/(1+4) = -3/5
Answer: the slope is -3/5
Which of the following inequalities is equivalent to 1 > x
Answers
hope this helps ;)
Answer:
The answer is D x ≤ 1
Step-by-step explanation:
Jordan is starting to save $150 to buy a new cell phone. In December, he saved $5. In January, he plans twice as much as he did in December, for a total savings of $15 ($5 + $10). If Jordan continues to save twice as much he saved from the previous month, in which month will his total savings will be enough to buy the phone.
Answers
Answer: At the Month May Jordan as able to get enough money to buy the phone.
Work:
December:$5
January:$10
February:$20
March:$40
April:$80
May:$160 <--Answer
____________________________________________________________In the problem Jordan saves $5 at December, then at January Jordan saved $10 which is twice as December's saved money amount. February, Jordan saved $20, which is twice as January's saved money amount. March is $40, which is twice as February's saved money amount. For April it is $80, which is twice as March's money amount, May is $160 which is twice as April's money amount. Or another way to say this is by starting at $5. Then, keep multiplying by 2 for each month until you get $150 or more. When you do, stop at the month that gets you $150 or more. When i did this exact method, I got $160 on the Month of May. $160 is more than enough for Jordan to buy his phone. So the month May is the correct answer where Jordan can get enough money for his phone.
Answer: The fifth month; By April Jordan would have saved more than enough to buy a new phone.
Step-by-step explanation:
Dec $5
Jan $10
Feb $20
Mar $40
Apr $80
Dec + Jan = $15($5+$10)
Dec+ Jan + feb = $35($5+$10+$20=$35)
Dec+ Jan + feb + mar = $75 ($5+$10+$20+$40=$75)
Dec+ Jan + feb + mar + apr = $155
($5+$10+$20+$40+$80=$155)