Which graph shows a triangle and its reflection image over the x-axis?
A. first picture
B. 2nd picture
C. picture 3
D. picture 4
A. is wrong
Answers
To make sure we're on the same page, I'm attaching your fourth drawing below. It's the result of taking a triangle and reflecting it over the horizontal x axis. Think of it like mirroring an image.
Answer-
In picture 4, the triangle is reflected over x axis.
Solution-
While reflecting a point over x axis, (x, y) → (x, -y) rule is followed.
Only the sign of y-coordinate is changed, keeping x-coordinate intact.
In the first picture, though the image is reflected, but it is reflected over y axis.
In the second picture, the image is first reflected over y axis, then it is translated 1 unit down.
We rotating a point 90° clockwise, (x, y) → (y. -x) rule is followed.
In the third picture, the triangle is rotated 90° clockwise and then translated 1 unit to right.
But, in case of the fourth picture, the figure is reflected over x axis. Only the y coordinates sign are changed, all the x coordinates are same as before.
Related Questions
A phone banking password consists of 2 letters followed by 4 digits. The letters B, I, S, and O are not used, and the last digit cannot be 0. How many different passwords are possible?
5,148,000
4,840,000
4,356,000
3,175,524
Answers
There are 4,356,000 different passwords are possible.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A phone banking password consists of 2 letters followed by 4 digits.
And, The letters B, I, S, and O are not used, and the last digit cannot be 0.
Hence, We can formulate;
Number of different passwords are possible are,
⇒ 22 × 22 × 10× 10 × 10 × 9.
⇒ 4,356,000
Thus, There are 4,356,000 different passwords are possible.
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if f(x) = (x+1)^-1 and g(x) = x-2, what is the domain of f(x) divided by g(x)
Answers
f(x)=1/(x+1) so
f(x)/g(x) is
1/[(x+1)(x-2)]
Since division by zero approaches infinity, it is not a real value, and is said to be undefined. Division by zero is "not allowed", which just really means that it does not have a real value. So in this case x cannot equal -1 or 2 so the domain is:
All real numbers except -1 or 2...which can be expressed as:
(-oo,-1),(-1,2),(2,+oo)
What is the correct way to write 6.3 × 10^8 in standard notation? (25 Points)
Answers
hope this helps:)
(7 zeros behind the decimal.)
Hope this helps!!!
The triangle JKL shown on the coordinate grid below is reflected once to map onto triangle J'K'L': Triangle JKL is drawn on a 4 quadrant coordinate grid with vertices J is at 8, 1. K is at 5, 7. L is at 3, 4. If vertex L' is at (−3, 4), what are the coordinates of vertex J'?
Answers
(1, −8)
(−8, 1)
(−1, 8)
(8, −1)
Answer:
The vertex J' is at (-8,1).
Step-by-step explanation:
If is given that the triangle JKL reflected once to map onto triangle J'K'L'.
The vertices of the triangle JKL are J(8,1), K(5,7) and L(3,4). The vertex L'(-3,4).
[tex]L(3,4)\rightarrow L'(-3,4)[/tex]
It is in the form of
[tex](x,y)\rightarrow (-x,y)[/tex]
Since the y-coordinate remains same and the sign of x coordinate is changed. It shows the reflection across the y axis.
The vertices of image are,
[tex]K(5,7)\rightarrow K'(-5,7)[/tex]
[tex]J(8,1)\rightarrow J'(-8,1)[/tex]
Therefore the vertex J' is at (-8,1).
I need help with this problem and a few others
Answers
Find the sum of the first 15 terms of the series 4+16+64+256+...
Answers
which angles are corresponding angles? check all that aply
Answers
<1 and <3
A movie theater sold 422 tickets on Friday. On Saturday, they sold 518 tickets. What was the approximate percentage that ticket sales increased on Saturday?
Answers
Hope that helps!
a rectangle has sides 2x + 3 and x - 4. what is the perimeter of the rectangle
Answers
The circle shown below has ab and bc as its tangents: ab and bc are two tangents to a circle which intersect outside the circle at a point
b. if the measure of arc ac is 160°, what is the measure of angle abc? 80° 40° 60° 20°
Answers
One of the theorems of circle is that the measure of the intercepted arc is twice as that of its opposite angle. In this case, since the intercepted arc measures 160°, then the measure of angle abc is 160/2 = 80°.
Therefore, the answer is 80°.
Answer:
Answer: 20°
Step-by-step explanation:
The value of a dirt bike decreases by 15% each year. If you purchased this dirt bike today for $500, to the nearest dollar how much would the bike be worth five years later? $84 $119 $164 $222
Answers
500*.15=75. 500-75=425
425*.15=63.75. 425-63.75=361.25
361.25*.15=54.19. 361.25-54.19=307.06
307.06*.15=46.06. 307.06-46.06=261
261*.15=39.15. 261-39.15=221.85
Round up to $222
The answer is 222
All you do is multiply 500 by 0.15, which gives you 75. Then subtract that from 500 to give you 425. Now multiply this 425 by 0.15 then subtract the product form 425. Continue this process until it is done 5 times. Your answer on the fifth time will be your answer.
Women athletes at the university of colorado, boulder, have a long-term graduation rate of 67% (source: the chronicle of higher education). over the past several years, a random sample of 38 women athletes at the school showed that 21 eventually graduated. does this indicate that the population proportion of women athletes who graduate from the university of colorado, boulder, is not less than 67%? use a 5% level of significance. find the p-value of the test statistic (round to the nearest ten thousandths).
Answers
The solution would be like this for this specific problem:
H0: p = p0, or
H0: p ≥ p0, or
H0: p ≤ p0
find the test statistic z = (pHat - p0) / sqrt(p0 * (1-p0) / n)
where pHat = X / n
The p-value of the test is
the area under the normal curve that is in agreement with the alternate
hypothesis.
H1: p ≠ p0; p-value is the area in the tails greater than |z|
H1: p < p0; p-value is the area to the left of z
H1: p > p0; p-value is the area to the right of z
Hypothesis equation:
H0: p ≥ 0.67 vs. H1: p < 0.67
The test statistic is:
z = ( 0.5526316 - 0.67 ) / ( √ ( 0.67 * (1 - 0.67 ) / 38 )
z = -1.538681
The p-value = P( Z < z
)
= P( Z < -1.538681 )
= 0.0619
You're studying different function tools and begin working with this function:
y=-200-12(x)
Use the equation to answer the question:
What is the y-value when x equals -16?
Answers
y = -200 - 12*-16 = -200 + 192 = -8
Answer:
-8
Step-by-step explanation:
Given : [tex]y=-200-12(x)[/tex]
To Find:What is the y-value when x equals -16?
Solution:
We are given that You're studying different function tools and begin working with this function:
[tex]y=-200-12(x)[/tex]
Now we are supposed to find the value of y when x is -16
So, substitute x = -16 in the equation
[tex]y=-200-12(-16)[/tex]
[tex]y=-200+192[/tex]
[tex]y=-8[/tex]
So, Value of y is -8
Hence the y-value when x equals -16 is -8
Ben measures the height of two bottles. one is 12 centimeters, and the other is 15 centimeters. in millimeters, what is the difference of the two heights?
Answers
One bottle has a height of 12 centimeters or 12 cm. Let us call this h1, so h1 = 12 cm
While the other bottle has a height of 15 centimeters or 15 cm. Let us call this h2, so h2 = 15 cm
The difference in height can be calculated by subtracting the smaller number from the bigger number, therefore:
difference in height = h2 – h1
difference in height = 15 cm – 12 cm
difference in height = 3 cm
We know that in 1 meter there is:
1 meter = 100 centimeters = 1000 millimeters
Therefore,
difference in height = 3 cm (1000 millimeters / 100 centimeters)
difference in height = 30 mm
Answer:
difference in height = 30 mm
A paper popcorn cone measures 4 inches in diameter and is 9 inches high. What is the volume of popcorn that can be contained within this cone? Use 3.14 for pi. Round your answer to the nearest hundredth. 37.68 cubic inches 39.45 cubic inches 40.23 cubic inches 41.90 cubic inches
Answers
V=(3.14)(r^2)(h/3)
With this formula in mind, you would simply substitute in.
V=(3.14)(2^2)(9/3)
You could work that out for yourself on your own, but to save you the time, it is 37.68 in. cubed.
So, we know that the formula to find the volume of a cone is [tex]V=\frac{3.14* r^2h}{3}[/tex]
The radius is half the diameter, so in this case our radius would be 2. Let's plug in the values.
[tex]V=\frac{3.14* 2^2\cdot \:9}{3}[/tex]
Simplify.
[tex]V=12*3.14 [/tex]
The thing we are left with is just a multiplication problem. Let's simplify it. Let's remember to also input the units since we are talking about the volume of a figure.
V≈37.68 in³
Instead of using the equal sign (=), we had to use the approximation sign (≈) since we are using a rounded version of pi ([tex] \pi [/tex])
Thanks!
-TetraFish
The area of a rectangle is 0.8 square units. The length is 3.2 units and the width is x units.What is the value of x?
Answers
To answer this question you need to know how to count formula of a rectangle. Area of a rectangle is count by length x width formula. Then if you put the number into the formula it would be:
area = length x width
0.8 square unit= 3.2 unit * x
3.2 x unit = 0.8 square unit
x= 0.8 square unit / 3.2 unit= 0.25 unit
A cylinder is a type of prism.
true
false
Answers
A point lies in quadrant 2. If it is rotated 180 degrees counterclockwise, which quadrant will the point come to rest?
Answers
When a point in quadrant 2 is rotated 180 degrees counterclockwise, it will land in quadrant 4.
A point lies in quadrant 2. If it is rotated 180 degrees counterclockwise, which quadrant will the point come to rest?
Begin in quadrant 2 (Q2).Rotating 180 degrees counterclockwise leads to the point's final position in quadrant 4 (Q4).Factor the polynomial below.
30x^2 + 15x^2 +10x
Answers
hope this helps
hope this helps!
The table below represents an exponential function.
table represents an exponential function.
What is the interval between neighboring
x-values shown in the table?
What is the ratio between neighboring y-values?
Answers
notice, the first value is 1, but any subsequent values are just the product of 4 and the current value. Thus the "common ratio" is 4.
In given table of exponential function,
The interval between neighboring x-values is of 1 unit.
The ratio is 4 between neighboring y-values
Observing given table.
To find interval between neighboring x-values . We have to take difference between consecutive x - values.
[tex]1-0=2-1=3-2=4-3=5-4=1[/tex]
Since, in every consecutive x- values , difference of 1 is present.
So, The interval between neighboring x-values is of 1 unit.
To find ratio between neighboring y-values , we have to take ratio of consecutive y - values.
[tex]\frac{4}{1}=\frac{16}{4}=\frac{64}{16}=\frac{256}{64}=4[/tex]
Thus, The ratio is 4 between neighboring y-values
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Answers
Relations and functions need help please.
Answers
So, [tex]f(x) = -x^2 + 1[/tex] becomes [tex]f(-3) = -(-3)^2 + 1[/tex]
[tex]f(-3) = 3^2 + 1 \\ \\ f(-3) = 9 + 1 \\ \\ f(-3) = 10[/tex]
So, f(-3) is equal to 10.
Can a geometry expert help me ASAP Please!!!!!!! and can you show me how you got the answer please
Answers
All 3 angles of a triangle sum to 180.
Therefore angle W = 180 -63 -63
angle W = 54
We are not told that line WY is perpendicular to line XZ.
If it is perpendicular, then angle YWZ is one half of angle W and it equals 27 degrees.
A delivery truck uses $375 in gasoline during a 3 week period. if the truck is driven 5 days per week, how much is spent on gas each day?
Answers
Final answer:
Approximately $17.86 is spent on gas each day.
Explanation:
To find out how much is spent on gas each day, we need to divide the total amount spent on gas by the number of days in the 3-week period.
First, let's calculate the number of days in 3 weeks. Since there are 7 days in a week, there are 3 × 7 = 21 days in 3 weeks.
Next, we divide the total amount spent on gas, $375, by the number of days: $375 ÷ 21 = $17.86
Therefore, approximately $17.86 is spent on gas each day.
What are the solutions of the equation z2-12z+36=0
Answers
(z - 6)(z - 6) = 0
z - 6 = 0
z = 6
solution is : 6,6
Find the 6th term of a geometric sequence with t1=5 and r = -1/2
-5/8
-5/16
-5/32
-5/64
Answers
An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.
Substitute the known values to the equation,
An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32
Hence, the answer to this item is the third choice, -5/32.
Verify the Pythagorean Identity.
1 + cot^2 0 = csc^2 6
Answers
To prove this Pythagorean Identity, we have to know that:
cot = 1 / tan
and we also know that:
tan = sin / cos
Therefore,
cot = 1 / tan = cos / sin
So we can write the given equation in the form of:
1 + (cos^2 θ / sin^2 θ) = csc^2 θ
Expanding the left hand side of the equation:
(sin^2 θ / sin^2 θ) + (cos^2 θ / sin^2 θ) = csc^2 θ
(sin^2 θ + cos^2 θ) / sin^2 θ = csc^2 θ
We know that given a unit circle, sin^2 θ + cos^2 θ = 1. So:
1 / sin^2 θ = csc^2 θ
The equation above is already true basing on the trigonometric identities. Therefore:
csc^2 θ = csc^2 θ
which of the following could be the equation of the graph shown below
Answers
2y = 4x - 6
y = 2x - 3....y int = -3 , x int = (3/2,0)
I believe it is going to be : -4x + 2y = -6
Answer:
-4x+2y+-6 and y=3x-2
how to solve for -5x^2-2x-6=-2 ?
Answers
-5x^2-2x-6+2=-2+2
2. Simplify
-5x^2-2x-4=0
3.
x=-1/5 - i (square root of 19/5)
Find the probability that 4 randomly selected people all have the same birthday. Ignore leap years. Round to eight decimal places.
Answers
The probability that 4 randomly selected people all have the same birthday, ignoring leap years, is 0.00000002 when rounded to eight decimal places.
Explanation:The problem is asking about the probability that 4 people, selected at random, all have the same birthday. Since we're ignoring leap years, each person can have a birthday on any of 365 days of the year. The probability that the first person has a birthday on any day of the year is 1, because there's no restriction on when their birthday can be. However, the probability that the second, third, and fourth people share this same birthday becomes much less.
Given that we've selected a specific day for the first person, the second person has a 1 in 365 chance (or approximately a 0.00274 chance) of having that same birthday. The same applies for the third and fourth person. Since each of these events is independent (meaning the outcome of the first event doesn't change the probability of the next event), we can find the total probability by multiplying the individual probabilities together: 1 (for the first person) * 0.00274 (for the second person) * 0.00274 (for the third person) * 0.00274 (for the fourth person) = 0.000000020500. To the eight decimal place, this becomes 0.00000002.
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