Graph a triangle (ABC) and reflect it over the x-axis to create triangle A'B'C'. Describe the transformation using words. Make sure you refer to the characteristics and the coordinates. Draw a line segment from point A to the reflecting line, and then draw a line segment from point A' to the reflecting line. What do you notice about the two line segments you drew? Do you think you would see the same characteristic if you drew the line segment connecting B with the reflecting line and then B' with the reflecting line? How do you know?
Answers
The two line segments after the reflection over the x-axis are vertical lines, and the same will be true for the third segment.
What are the changes to the triangle?The rule for a reflection over the x-axis is given as follows:
(x,y) -> (x,-y).
Meaning that the x-axis remains constant, while the coordinates of the y-axis are changed.
The vertices of the original triangle will be attributed as follows:
A(1,1), B(4,1) and C(1,5).
Hence the vertices of the reflected triangle will be given as follows:
A'(1,-1), B'(4,-1) and C(1,-5).
Thus the lines are given as follows:
A and A': x = 1.B and B': x = 4.C and C': x = 1.Hence there are three vertical lines.
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Related Questions
find an equation of a plane that contains the point (1, 2, 3) and is normal to the line . for what value of is on the plane?
Answers
Using the equation of the plane and the provided point (1,2,3) with the unit values perpendicular to the plane .The answer is [tex]\frac{x-1}{3.14} + \frac{y-2}{3.14} + \frac{z-3}{3.14} = 1[/tex]
What do you mean by a plane?A plane is a doubly ruled surface in two dimensions that is spanned by two linearly independent vectors. A hyperplane is a generalization of the plane to higher dimensions. The dihedral angle is the angle formed by two intersecting planes.
What are normal values to the plane?A normal in geometry is a piece of geometry that is perpendicular to another piece of geometry, such as a line, ray, or vector. For instance, the (infinite) line perpendicular to the tangent line to the curve at the point is the normal line to a plane curve at the point.
x1=1
y1=2
z1=3
[tex]\frac{x-x1}{\sqrt{x1^{2}+y1^{2}+z1^{2}}} + \frac{y-2}{\sqrt{x1^{2}+y1^{2}+z1^{2}}} + \frac{z-3}{\sqrt{x1^{2}+y1^{2}+z1^{2}}} = 1[/tex]
[tex]\frac{x-1}{3.14} + \frac{y-2}{3.14} + \frac{z-3}{3.14} = 1[/tex]
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Which of the following equations is NOT a form of a linear equation?
y = mx + b
y- y₁ = m (x − x₁)
Ax+By = C
y= ax² + bx + c-
y = kx
Answers
Answer:
the third onei
Step-by-step explanation:
it describes a quadratic equation/
Reason a linear equation will not have an exponent. This is a parabola.
y=mx+b is y intercept form of linear equation
y-y1 = m (x-x1) is point slope form of linear eq.
Ax + By = C is standard form of linear eq.
❌y=ax^2 + bc + c- is not linear, its a parabola
y = kx is constant of proportionality, is linear
PLSS HELP ASAP!! 30 PTS
Triangle ABC has vertices A(0, -1), B(6, 5), and C(-4, 3).
Which statement about triangle ABC is true?
Answers
Answer:
The coordinates of the vertices of triangle ΔABC, A(0, -1), B(6, 5), and C(-4, 3), indicates that the triangle ΔABCD is a right triangle with all sides of different length.
Step-by-step explanation:
PLS HELP ASAP IM TAKING IT RN AND ITS TIMED
Days People
1 26
2 30
3 34
4 38
5 42
6 46
The chart shows how many people have signed up to go on a field trip each day. How many people would you expect to sign up on day 7?
Responses
A 49
B 48
C 47
D 50
Answers
Step-by-step explanation:
Using linear regression, you'd expect 50 people to sign up on day 7.
Formulas are NOT used to solve a real-world problem of converting inches to feet.
O True
O False
Answers
hope you have a great day
Sixty one minus twenty nine
Answers
Answer:
Step-by-step explanation:
32
B i the midpoint of AC. D i the midpoint of CE. DE=5 and AE=18. What i the length of BD?
Answers
The length of BD is 9 units when considering the idea of a line segment's midpoint.
What is midpoint of line segment ?A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. The midpoint is the point on the middle of the line that is equally distant from the two points if a line is drawn connecting the two points. The midpoint is the point B that lies halfway between any two points, let's say A and C. As a result, measuring the length of the line segment and dividing it by two will yield the midway.
According to the given information :
AE = 18, DE = 5
However, D is the middle of CE
CE = 2 × 5 = 10
The line CE will become 10
But AE is the total length of the line segment and it is equal to 18
AE = AC + CE
AC = AE - CE
AC = 8
If AC = 8 , BC = 1/2AC
BC = [tex]\frac{8}{2}[/tex]
BC = 4
The BD becomes BC + CD
BD = 9 units
The length of BD is 9 units when considering the idea of a line segment's midpoint.
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Mr. Hill also teaches gym. He has 20 soccer balls and 3 teams of
students. He gives the same number of balls to each team.
Can Mr. Hill divide 20 balls into 3 equal groups?
»)
>>>
>>)
Yes
No
I am not sure.
Answers
Answer:No, because you cant divide 20 balls into 3 equal groups.
Step-by-step explanation:
A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is v(t)=2t1/2+1. Find the car's average velocity (in m/s) between t=4 and t=8
Answers
Average velocity of the car as calculated from the given data is 6m/s.
The average velocity is calculated by dividing the total distance travelled by the whole time that has passed. Given the velocity as a function of time, you may integrate the velocity function from t = 4 to t = 8 to determine the total distance travelled.
The opposite of taking a derivative is to integrate; in other words, the function I get when I take a derivative is 2t1/2 + 1. Assuming you are aware of how to do that If not, you can input the aforementioned integral into your TI-84 to obtain the result.
The integral turns out to be
(4/3)t^3/2 + 4t so x(t)
= (4/3)t3/2 + 4t and x(8) - x(4)
= (4/3)(8)3/2 + 4(8) - [(4/3)(4)3/2 + 4(4)]
= 24 meters
The distance travelled in total was 24 meter and it took 4 seconds (8-4) to do it, so the average velocity is 24 /4 = 6 m/s.
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please help! Need to get my math grade up
Answers
Answer: A.( 2,10) B.(4,6) C(5,4) D(6,2)
Step-by-step explanation:
12 less than twice a number.
help me please help help
Answers
Answer:
2x - 12
Hope this helps : )
Step-by-step explanation:
The equation for 12 less than twice a number is 2x-12. This is because "12 less than a number" means 12 is being subtracted from a number. The "number" is a variable which can be x. "Twice a number" is the variable being multiplied by 2. So the final equation would be 2x - 12.
4y=-3x+12 what is the answer
Answers
Divide both side for 4
Then you get
Y=-3/4x + 3
Tony and ted went fishing. Tony caught 78. 29 pounds of fish, and ted caught 59. 36 pounds of fish. How many total pounds of fish did tony and ted catch?.
Answers
Together, Tony and Ted caught 78.29 pounds + 59.36 pounds = 137.65 pounds of fish when they went fishing.
What is meant by addition?Addition is a mathematical process that combines two or more numbers or units to form a sum. One of the four fundamental operations of mathematics, along with addition, subtraction, multiplication, and division, it is generally represented by the plus sign (+). The fundamental idea of addition is one that is taught to children at a young age and is utilized frequently in both mathematics and daily life. For instance, when shopping, one may tally up the costs of several goods to get the overall expense. In algebra, adding is used to solve problems and make statements simpler. Finding side lengths and shape areas are both important aspects of geometry. In general, adding is flexible. for example,Tony and ted went fishing. and we got to calculate the total fishes caught by them.
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Write the equation of the line in fully simplified slope-intercept form.
Answers
You see from the graph that when x = 0, y = 2 so the y-intercept is ( 0 , 2).
you are given points (-6 , 3) and (6 , 1). Find slope:
slope = change in y / change in x
slope = (3 - 1) / (-6 - 6)
slope = 2/-12
slope = -1/6
slope-intercept form: y = mx + b where m = slope and b = y intercept.
y = -1/6x + 2
what is 24 in scientific notation
Answers
Answer:
2.4 × 101
Step-by-step explanation:
that is 24 in scientific notation
Answer:
24 * 10^1
Step-by-step explanation:
Hope this helps. :)
An investor invested a total of $2000 in two mutual funds. One fund earned a 9%
profit while the other earned a 2% profit. If the investor's total profit was $89,
how much was invested in each mutual fund?
Answers
$340 was invested in the 9% fund and 1660 was invested in the 2% profit fund.
Step-by-step explanation:
Let x be amount invested in 9% profit fund
let (2000-x) be the amount invested in the 2% profit fund
.09x+.02 times (2000-x)=89
.09x+40-.02x=89
0.07x=49
x=340
The amount invested in mutual fund A and mutual fund B is $700 and $1300 respectively.
what is profit margin?Profit margin is a measure of profitability. It is calculated by finding the profit as a percentage of the revenue. It is given by :
profit margin = (profit / revenue or return) × 100
Given here $ 2000 invested in two mutual funds
let the amount invested in A be x then the amount invested in B is $2000-x
now profit in dollars from the two mutual funds is equal to $89
therefore, 9% of x + 2% of $2000-x = $89
0.09x + 0.02×(2000-x) = 89
0.09x + 40 - 0.02x = 89
0.07x = 49
x = $700
Hence the amount invested in A is $700 and amount invested in B is $1300.
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You make $10 an hour babysitting and $20 an hour lifeguarding. You need to make at least $120 next week to buy a concert ticket. You can work at most 10 hours a week. Use y for number of hours babysitting and x for hours lifeguarding
Answers
Answer:
5 hours lifeguarding and two hours babysitting.
Step-by-step explanation:
5(20) = 100
10(2) = 20
100 + 20 = 120
Which graph is defined by f(x) = x² + 5|x| + 6?
O A.
OB.
O C.
O D.
graph A
graph B
graph C
graph D
Answers
The attached graph is defined by f(x) = x² + 5|x| + 6.
What is the graph function?
The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function is a special case of the graph of an equation.
We have,
y = x² + 5|x| + 6
we know,
|x|² = x² use this ,
y = |x|² + 5|x| + 6
Steps for drawing y = |x|² + 5|x| + 6
step1 :- first draw y = x² + 5x + 6, this graph is quadratic equation .
step2:- Leave the part of y=x² + 5x + 6 right side to the y-axis and also take its image with respect to the y-axis as a plane mirror.
step3 :- now remove the part of y = x² + 5x + 6 to left side from y - axis .
now your graph is ready
you can see in the figure attached.
Hence, the attached graph is defined by f(x) = x² + 5|x| + 6.
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8.121 Round 8.121 to the nearest tenth.
Answers
Characterize the slope of the line in the graph
Answers
it must be A because it's is going down word
Answer:
Slope is negative
Step-by-step explanation:
from one point to the next, it goes down 1 (-1) and over 4 (4)
or, from one point it goes left 4 (-4) and up 1 (1) just depending on how tou look at it.
(f)-3 =9 and g(-3) =2 find (f+g)(-3)
Answers
The value of f(-3) + g(-3) Or (f + g)(-3) is 11.
What is a composite function?When the output of one function is given to the input of another function they are called composite functions. In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).
Given, f(-3) is 9 and g(-3) is 2.
We know f(x) + g(x) = (f + g)(x).
∴ (f + g)(-3) = 9 + 2.
(f + g)(-3) = 11.
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An author published a book which was being sold online. The first month the author sold 2500 books, but the sales were declining steadily at 12% each month. If this trend continues, how many total books would the author have sold over the first 18 months, to the nearest whole number?
Answers
An arithmetic sequence is a sequence where the difference between each consecutive term is the same.
The sum of an arithmetic sequence is given as,
S(n) = a + d(n - 1)
The total number of books sold over the first 18 months is 7600.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
We have,
In the first month, the author sold 2500 books, but the sales were declining steadily at 12% each month.
This means,
a = 2500
12% of 2500
12/100 x 2500
= 12 x 25
= 300
d = 300
Now,
The sum of an arithmetic sequence is given as,
S(n) = a + d(n - 1)
Now,
n = 18
a = 2500
d = 300
S(23):
= 2500 + 300(18 - 1)
= 2500 + 300 x 17
= 2500 + 5100
= 7600
Thus,
The total number of books sold over the first 18 months is 7600.
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)) Solve for
13 = r + 1
R =
Answers
Answer:
R = 12
Step-by-step explanation:
1 + 12/R = 13
PLEASE HELP ME OUT!!!!!!!!
GIVING BRAINLIEST
Fill in the blank with the correct response. If 24 is increased to 30, the percent of increase is %.
Answers
Answer:
there is a 25% increase from 24 to 30
Step-by-step explanation:
30-24/24 x 100
6/24x 100
0.25x100
25%
Answer:
[tex]\begin{align} \% \text{ Increase} &= \dfrac {\text{Final - Initial}}{\text{Initial}} \times 100 \\ \\ &= \dfrac {30 - 24}{24} \times 100 \\ \\ &= \dfrac {6}{24} \times 100 \\ \\ &= 0.25 \times 100 \\ \\ &= 25 \% \end{align} [/tex]
There is a 25 % increase from 24 to 30.
help i really need this answer please
Tim lives 2/3 as far from school as Felipe. Felipe walks to school and then walks to
Tim's house after school. What expression represents the total distance
Felipe walked?
Answers
Answer: x + 2/3(x)
Step-by-step explanation:
x = distance F walks to school
2/3(x) = distance T walks to school
Felipe walks first to school, then walks to Tim's house, so total distance Felipe walks: x + 2/3(x)
8. Which of the following is NOT preserved when a figure is dilated?
A. Betweenness
B.orientation
C. size
D. shape
Answers
C. size
because when things dilate they change in size but not shape, orientation or betweenness
pls help due now!!!!!!!!!!!
Answers
Answer:
B. For 5 students, the cost will be the same, and the cost will be $70
Step-by-step explanation:
Look at the graph and see where the two linear plots intersect.
This point of intersection is at the x value of 5 and y value of 70: (5, 70)
Since the x-axis represents the number of students and y axis the total cost, the answer is B
What is the area of this composite figure?
10 ft
10 ft
6 ft
2 ft
Answers
Answer:
88 ft^2
Step-by-step explanation:
we can make this a full 10 by 10 rectangle and find the area
10x10
100
And now we subtract the 6 by 2 triangle area that we added
6x2
12
100-12
88 ft^2
Hopes this helps please mark brainliest
Answer:
Answer = 88 ft²
Step-by-step explanation:
Step 1: Divide the composite shape into two separate parrellagrams
1. Dimensions of shape 1: Length is 10 ft, and width is 4 ft
2. Dimensions of shape 2: Length is 8 ft, and width is 6 ft
Step 2: Multiply the length by the height of each shape
Area = lw
3. Area of shape 1: 10 ft ∙ 4 ft = 40 ft²
4. Area of shape 2: 8 ft ∙ 6 ft = 48 ft²
Step 3: Add both areas together to get the total area of the composite shape
5. 40 ft² + 48 ft² = 88 ft²
Hence, the total area of this composite figure is 88 ft²
the following are the amount of time, in minutes, that it took a random sample of 20 technicians to perform a certain task: 18.1 20.3 18.3 15.6 22.5 16.8 17.6 16.9 18.2 17.0 19.3 16.5 19.5 18.6 20.0 18.8 19.1 17.5 18.5 18.0 assuming that the sample came from a symmetric continuous distribution, use the sign test at the 0.05 level of significance to test the null hypothesis that the mean of the population is 19.4 against a 2-sided alternative. perform the test using: (a) the binomial distribution; (b) the normal approximation to the binomial distribution.
Answers
The normal approximation to the binomial distribution is C ( n , r ) * p^r * q^n - r .
a )
the binomial distribution .
Null hypothesis H0: μ = 19.4
Alternative hypotheses H1: μ ≠ 19.4
19.4 with minus sign, we get
n = 20, x = 4 and n/2 = 10
Here x < n/2
Therefore, from table the computed P-Value is.
b )
the normal approximation to the binomial distribution ,
P = 2P(X ≤ 4 when θ = 1/2 )
= 2 (0.0059)
= 0.0118
Hence the P value, 0.0118, is less than 0.05, the null hypothesis must be rejected, and we conclude that the mean of the population is not 19.4 minutes.
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a town has 10,000 two-child families.
Answers
Answer:
Step-by-step explanation:
if its asking how many people there are it would be 40,000
Mother, Father, 2 kids=4
4 x 10,000= 40,000