Question 6(Multiple Choice Worth 5 points)
(Reflections MC)
Triangle NMO has vertices at N(−5, 2), M(−2, 1), and O(−3 , 3). Determine the vertices of image N′M′O′ if the preimage is reflected over y = −2.
N′(−3, 2), M′(0, 1), O′(−5, 3)
N′(−5, 0), M′(−2, −1), O′(−3, 1)
N′(−5, 1), M′(−2, 0), O′(−3, 2)
N′(−5, −6), M′(−2, −5), O′(−3, −7)
Please Fast only have 10 minutes.
Answers
The image coordinates of NMO after the translation is option d: N′(−5, −6), M′(−2, −5), and O′(−3, −7).
What is the image coordinates?To get the image coordinates of the preimage translated -2 units to the left, we simply subtract -2 from the y-coordinates of each vertex:
N' = (Nx - (-2), Ny) = (−5 , 2- (-2)) = (−5, 4)
M' = (Mx - (-2), My) = (−2 , 1 - (-2)) = (−2, 3)
O' = (Ox - (-2), Oy) = (−3 , 3- (-2)) = (−3, 5)
Therefore, based on the above, the image coordinates of NMO after the translation are N′(−5, 4), M′(-2,3 ), O′(−3, 5)
So the reflected vertices are:
The distance from N to the line y = -2 is 4, and -6 - (-2) = -4, so one need to move down 4 units to have a y-coordinate of -6.
The distance from M to the line y = -2 is 3, and -5 - (-2) = -3, so one need to move down 3 units to have a y-coordinate of -5.
The distance from O to the line y = -2 is 5, and -7 - (-2) = -5, so one need to move down 5 units to have a y-coordinate of -7.
So it will be: N′ (−5, −6), M′(−2, −5), O′(−3, −7)
Learn more about image coordinates from
https://brainly.com/question/31020448
#SPJ1
Answer:
D) N′(−5, −6), M′(−2, −5), O′(−3, −7)---------------------
Given triangle MNO with vertices:
N = (-5, 2), M = (-2, 1) and O = (-3, 3)It is reflected in line y = - 2.
This reflection doesn't affect the x-coordinates of the vertices and the y-coordinates change.
Since y = - 2 is the line of symmetry, it also represents midpoints of the segments formed by corresponding endpoints of image and preimage.
Using midpoint equation, find the y-coordinates.
Point N'(2 + y)/2 = - 2 ⇒ 2 + y = - 4 ⇒ y = - 6Point M'(1 + y)/2 = - 2 ⇒ 1 + y = - 4 ⇒ y = - 5Point O'(3 + y)/2 = - 2 ⇒ 3 + y = - 4 ⇒ y = - 7So the coordinates of the image are:
N′(−5, −6), M′(−2, −5), O′(−3, −7)This is matching the option D.
See attached for visual representation of the problem.
Related Questions
How do I figure out x and y
Answers
Answer:
x = 7, y = 45
Step-by-step explanation:
\(7x+13=6x+20\)
\(x=20-13\\x=7\)
Angle
\(7(7)+13=49+13=62^{0}\)
supplementary angle
180 - 62 = 118°
\(3y-17=118\)
\(y=\frac{118+17}{3} =135/3=45\)
Hope this helps
Same set up as the problem
to the left. Fill in the blanks.
25
39
Answers
Answer:
In a quiz, positive marks are given for correct answers and negative marks are ... a − (−b) = 21 − (−18) = 21 + 18 = 39 ... (i) He jumps 3 steps down and then jumps back 2 steps up.
Step-by-step explanation:
make me as brain liest
~!!!! HELPPPPPPPPP IM IN 7Th GRADE LEARNING 9TH AND 8TH HELP PLEASE !!!!~
QUESTION~
The graph of an absolute value
function f(x) = a|x| + 7 includes the
point (−1, 20). Another point on
the graph is ( ______, 20). The value
of a is _____.
Answers
Answer:
Step-by-step explanation:
Plug the point (-1,20) into the equation.
20 = a|-1|+7
13 = a|-1|
13 = a ⋅ 1
a= 13
:::::
(1,20) is another point on the graph.
Please help me with this
Answers
Trust me bro
Solve the following equation for w
3w-7= √8w-7
Answers
Step-by-step explanation:
to\(3w - 7 = \sqrt{8w - 7} \\ {(3w - 7)}^{2} = ({ \sqrt{8w - 7} })^{2} \\ 9 {w}^{2} - 42w + 49 = 8w - 7 \\ 9 { w}^{2} - 42w - 8w + 49 + 7 = 0 \\ 9 {w}^{2} - 50w + 56 = 0 \\ (9w - 14)(w - 4) = 0 \\ w = \frac{14}{9} \: or \: w = 4\)
to make sure the answer
substitute w = 14/9 and w = 4 to the equation.
if w = 14/9
\(3w - 7 = \sqrt{8 w - 7} \\ 3 \times \frac{14}{9} - 7 = \sqrt{8 \times \frac{14}{9} - 7} \\ - \frac{ 7}{3} = \frac{7}{3} \)
we know that if we substitute w = 14/9, the answer is not the same.
if w = 4
\(3w - 7 = \sqrt{ 8 w - 7 } \\ 3 \times 4 - 7 = \sqrt{8 \times 4 - 7} \\ 5 = 5\)
if we substitute w = 4 the answer is the same.. we can conclude the the answer of 3w - 7 = √8w - 4 is 4
#CMIIWI need help!
What is the value of t?
Answers
Answer:
t = 41
Step-by-step explanation:
The figure shows a polygon with one exterior angle at each vertex. In any polygon, the sum of those angle measures is 360 degrees.
Setup the sum and set it equal to 360.
3t + 2t + 61 + 52 + 42 = 360
Combine like terms.
5t + 155 = 360
Subtract 155.
5t = 205
Divide by 5.
t = 41
Hello can someone just explain what a congruent face is please?
Answers
Congruent faces are faces that have exactly equal in size and shape.
Congruent sides have eqaul length congruent angles have equal measure.
. How many payments of $10 would it take Samuel to purchase the scooter shown at the right?
Answers
Answer:
8
Step-by-step explanation:
because it is 79, it would require 8 ten dollar payments, while there is a remainder of 1
Find the unit rate.
1¹/2 =
4
[?]
1
![Find the unit rate.1/2 =4[?]1](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/UNNi10VkzEnEwIh3IW9UezlHU5t6cl9v.png)
Answers
Answer:
\(\frac{12}{4} = \frac{3}{1}\)
Step-by-step explanation:
\(\frac{12\div4}{4\div4}=\frac{3}{1}\)
Hope this helps!
Answer:
12 = 3
4 1
Step-by-step explanation:
hope the helps
A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times.
How does this frequency compare to the expected frequency based on the probability of
the number cube landing on an even number?
The frequency is 15 more than expected.
The frequency is 13 more than expected.
The frequency is 9 more than expected.
The frequency is 3 more than expected.
Done →
Answers
Given statement solution is :- The correct answer is: The frequency is 3 more than expected.
To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.
The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.
The expected frequency can be found by multiplying the probability by the total number of rolls:
Expected frequency = Probability of landing on an even number × Total number of rolls
Expected frequency = 0.5 × 30 = 15
Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.
The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).
Therefore, the correct answer is: The frequency is 3 more than expected.
For such more questions on Frequency Difference
https://brainly.com/question/13193436
#SPJ8
I'LL MARK THE BRAINLIEST!
What is the best approximation of the area of a circle with a diameter of 17 meters?
Use 3.14 to approximate pi.
Answers
the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99m².
Why it is and what is diameter?
The diameter of the circle is 17 meters, which means the radius is half of the diameter, or 8.5 meters.
The formula for the area of a circle is:
A = πr²2
where A is the area and r is the radius.
Substituting the value of the radius into the formula, we get:
A = 3.14 x 8.5²2
A = 3.14 x 72.25
A ≈ 226.99
Therefore, the best approximation of the area of the circle with a diameter of 17 meters is approximately 226.99 m².
In geometry, the diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest chord (a line segment connecting any two points on a circle) of the circle, and it divides the circle into two equal halves, also known as hemispheres.
To know more about Circle related questions visit:
https://brainly.com/question/22874193
#SPJ1
Which expressions have a quotient of 4/5a. 5/2 ÷ 1/2b.6/9 ÷ 5/6c. 3/6 ÷ 2/5d.7 1/2 ÷ 6e.1 1/3 ÷ 1 2/3
Answers
Answer:
B
\(\frac{6}{9}\div\frac{5}{6}\)Explanation:
We want to identify the expression that have a quotient of 4/5;
Let us solve each of the expression to identify the correct one;
a. 5/2 ÷ 1/2
\(\frac{5}{2}\times\frac{2}{1}=5\)b.6/9 ÷ 5/6
\(\frac{6}{9}\times\frac{6}{5}=\frac{36}{45}=\frac{4}{5}\)c. 3/6 ÷ 2/5
\(\frac{3}{6}\times\frac{5}{2}=\frac{15}{12}=\frac{5}{4}\)d.7 1/2 ÷ 6
\(7\frac{1}{2}\times\frac{1}{6}=\frac{15}{2}\times\frac{1}{6}=\frac{5}{4}\)e.1 1/3 ÷ 1 2/3
\(1\frac{1}{3}\times\frac{1}{1\frac{2}{3}}=\frac{4}{3}\times\frac{4}{5}=\frac{16}{15}\)So, from the solution of each options, the only expression that gives 4/5 is B
b.6/9 ÷ 5/6
f(x) = x + 2
g(x) = 3x² - 5
Find (f.g)(x).
OA. (f g)(x) = 3x³ - 10
OB. (f g)(x) = 3x³ + 6x² - 5x - 10
OC. (f. g)(x) = 3x³ + 10
OD. (f g)(x) = 3x³ + 6x² + 5x + 10
SUBMIT
Answers
Answer:
It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10
Step-by-step explanation:
In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.
• Take the products of both functions.
f(x)g(x) = 3x²+5 • x-2
• Next, expand the functions. We expand by combining like terms.
= 3x^3 - 6x^2 + 5x - 10
Since the function cannot be simplified further, this leads to option B being our answer.
Hope this helps!
Help! Write the slope-intercept form given the graph. PLEASE I NEED A ANSWER
Answers
The linear equation written in the slope-intercept form is:
y = (-3/5)*x
The correct option is C.
How to write the line on the graph?A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Here we can see that the line crosses through the poin (0, 0), so the y-intercept is 0.
b = 0
y = a*x + 0
y = a*x
To find the value of a, we can use another point on the graph.
We can see that the linear equation passes through (5, - 3), replacing these values:
-3 = a*5
-3/5 = a
Then the linear equation is just:
y = (-3/5)*x
The correct option is C.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
One- equals the quotient of a number and . Find the number.
Answers
i have a question what number i have to find???
Diego lives a mile from school what is 50% of the mile
Answers
Answer:
0.5 miles
Step-by-step explanation:
...
The sum of two numbers is twenty-three. One number is forty-seven less than six times the other. Find the numbers.
Answers
Answer:
10, 13
Step-by-step explanation:
Lets call the other x
x + 6x - 47 = 23
7x - 47 = 23
7x = 70
x = 10
6 x 10 - 47= 60 - 47 = 13
Hope this helps!
what is 5/4 divided by 10 equal
Answers
Answer:
\(\boxed{\frac{1}{8} }\)
Step-by-step explanation:
\(\frac{5}{4} / 10\)
Changing "division" into multiplication and inverting the term after it:
\(\frac{5}{4} * \frac{1}{10}\)
=> \(\frac{1*1}{4*2}\)
=> 1/8
Answer:
1/8
Step-by-step explanation:
Well to do 5/4 ÷ 10 let's set up the following.
\(\frac{5}{4} / \frac{10}{1}\)
Then we use the keep, change, and flip rule.
So keep 5/4 change the / to a * and flip the 10/1 ro a 1/10.
\(\frac{5}{4} * \frac{1}{10}\)
Now we multiply them to get,
5/40
simplified
1/8
Thus,
the answer is 1/8.
Hope this helps :)
(If A+B+C=180)
tan 2A + tan 2B + tan 2C = tan 2A tan 2B tan 2C
Answers
Step-by-step explanation:
Hey there!
See explanation in picture.
Hope it helps....
Explain how circle C with center at (−9, 8) and radius 7 is similar to circle D with center at (−1, −1) and radius 5.
Answers
Answer:
We are told that circle C has center (-4, 6) and a radius of 2.
We are told that circle D has center (6, -2) and a radius of 4.
If we move circle C's center ten units to the right and eight units down, the new center would be at (-4 + 10), (6 - 8) = (6, -2). So step 1 in the informal proof checks out - the centers are the same (which is the definition of concentric) and the shifts are right.
Let's look at our circles. Circle C has a radius of 2 and is inside circle D, whose radius is 4. Between Circle C and Circle D, the radii have a 1:2 ratio, as seen below:
If we dilate circle C by a factor of 2, it means we are expanding it and doubling it. Our circle has that 1:2 ratio, and doubling both sides gives us 2:4. The second step checks out.
Translated objects (or those that you shift) can be congruent, and dilated objects are used with similarity (where you stretch and squeeze). The third step checks out.
Thus, the argument is correct and the last choice is best.
Cute copy and paste:
☏ ♡ ☆⋆◦★◦⋆°*•°
. * . . ° . ● ° .
¸ . ★ ° :. . • ° . * :. ☆
° :. ° .☆ . ● .° °★
★ ★°★ . * . °☆ . ● . ★ ° . • ○ ● . ☆ ★ ° ☆ ¸. ¸ ★ . • ° . *
¸ . ★ ° :. :. . ¸ . ● ¸ ° ¸. * ● ¸ °☆
☆ °☆ . * ● ¸ . ★¸ .
. * . . ° . ● ° .
° :. ° . ☆ . . • . ● .° °★
NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12
Answers
Answer: b = 11.62
Step-by-step explanation:
We can use this formula to solve for b:
\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)
\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)
\(b^2= \sqrt{144-9}\)
= 11.61895004
We can round that to 11.62.
Hope this helped!
what is the permiter in feet of a rectangle with height 4 1/6 feet and width 3 1/3
Answers
The perimeter in feet of a rectangle with height 4 1/6 feet and width 3 1/3 is 15 feet.
How to calculate the perimeter?It should be noted that the perimeter of a rectangle is calculated thus:
Perimeter = 2(Length + Width).
Based on the information, the following can be deduced:
Length = 4 1/6 feet
Width = 3 1/3 feet
Perimeter = 2(Length + Width).
Perimeter = 2(4 1/6 + 3 1/3)
Perimeter = 2(7 1/2)
Perimeter = 15 feet
Learn more about rectangles on:
brainly.com/question/25292087
#SPJ1
Based on the illustration, what is the relationship between angle 1 and angle 3?
1. They are complementary.
2. They are congruent angles.
3. They are supplementary.
4. They form a right angle.
Answers
Answer: 2. They are congruent angles.
Step-by-step explanation:
Angle 1 and angle 3 are vertical angles. In other words, they are "opposite" each other.
Vertical angle pairs are congruent angles, meaning the answer to this question is;
2. They are congruent angles.
Answer: They are congruent angles.
Step-by-step explanation: Complementary means the two angles equal 90°, supplementary angles are next to each other and equal 180° together, and it's obviously not a right angle, (angle that equals 90°) so we know they are congruent angles (this means that they are the same)
hope this helps!
please give brainliest!
Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
100 miles in 2.5 hours
40 miles per hour
100
a. Yo
c.
25 miles per hour
1000
b. 250 miles per hour
d.
25
miles per hour
Please select the best answer from the choices provided
А
B
ОС
D
Answers
Answer:
c
Step-by-step explanation:
Answer:
A. 100 miles divide 2.5 hours = 40 miles per hour
I need help on all 4 blanks and they have the same choices.
Answers
Explanation
Number 1: Population
In statistics, a population is the pool from which a statistical sample is drawn for a study. In this case,
Answer: Option 1
Number 2: Parameter
A parameter is a number describing a whole population
Answer: Option 2
Number 3: Sample
In statistics, the sample is a portion of the population being considered at the time.
Answer: Option 3
Number 4: Statistic of interest
A statistic is a number describing a sample
Answer: Option 4
HELPPP PLEASE!!!!!!!!!
Answers
B) 340.34cm3
A random sample of 8 cigarettes of a certain brand has an average nicotine content of 4.2 milligrams and a standard deviation of 1.4 milligrams. Is this in line with the manufacturer’s claim that the average nicotine content does not exceed 3.5 mg? Use a 0.01 level of significance and assume the distribution of nicotine contents to be normal.
Answers
Answer:
0.0793 > 0.01, which means that we have a result in line with the manufacturer's claim.
Step-by-step explanation:
Manufacturer’s claim that the average nicotine content does not exceed 3.5 mg
This means that the null hypothesis is given by:
\(H_{0}: \mu = 3.5\)
And the alternate hypothesis is:
\(H_{a}: \mu > 3.5\)
The test statistic is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.
3.5 is tested at the null hypothesis
This means that \(\mu = 3.5\)
A random sample of 8 cigarettes of a certain brand has an average nicotine content of 4.2 milligrams and a standard deviation of 1.4 milligrams.
This means that \(n = 8, X = 4.2, \sigma = 1.4\)
Value of the z-statistic:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{4.2 - 3.5}{\frac{1.4}{\sqrt{8}}}\)
\(z = 1.41\)
Pvalue of the test:
We are testing if the mean is higher than 3.5.
The sample mean found is of 4.2, and we have to find the probability of finding a sample mean at least as large as this, which is 1 subtracted by the pvalue of z = 1.41.
z = 1.41 has a pvalue of 0.9207
1 - 0.9207 = 0.0793
0.0793 > 0.01, which means that we have a result in line with the manufacturer's claim.
What is Pythagoras's equation?
Answers
Answer:
\(a^{2} +b ^{2} =c^{2}\)
Step-by-step explanation:
a & b = the sides
c = hypotenuse
pythagorean theorem is used to find the missing length of a triangle not always tho, like if you have a 30°60°90° triangle or a 45°45°90° triangle
Answer:
a^2 + b^2 = c^2
a = side of right triangle
b = side of right triangle
c = hypotenuse
Step-by-step explanation:
hope this is helpful! God bless you!!
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answers
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
For more such questions on expression
https://brainly.com/question/1859113
#SPJ8
Daniel's father worries that his son is not a motivated student, especially after observing his study habits for a week.
Which behavior most likely caused Daniel's father to worry?
Daniel started his homework immediately after he got home from school.
Daniel delayed his free time until his homework was completed.
Daniel breezed quickly through his homework without correcting his mistakes.
Daniel kept revising his English composition until he was satisfied with it.what is the answer i keep getting it wrong, a,b,c,d