Which is the image of the point (9,-4) after a reflection about line y = 2 then translated along the vector <-2,4>?
A. (7,4)
B. (9,8)
C. (7,0)
D. (7,12)
Answers
=======================================================
Explanation:
Start at (9,-4). Move 6 units up to arrive at (9,2). This second point is on the horizontal mirror line of y = 2. We move another 6 units to get to (9,8).
Going from (9,-4) to (9,8) represents reflecting over the line y = 2.
Now apply the translation vector <-2,4> which says "shift to the left 2 units and shift up 4 units". That translation vector is the same as writing the rule [tex](x,y) \to (x-2,y+4)[/tex]
Applying that translation to the point (9,8) moves us to (7,12)
Check out the diagram below.
Related Questions
What equation, in point-slope form, matches the graphed line shown?
Question 3 options:
y−5=−23(x+9)
y−6=45(x−2)
y−2=−34(x−6)
y+6=45(x+3)
Answers
Answer:
Here’s the graph
Step-by-step explanation:
The equation of the line in point-slope form that matches the graph passing through the points (6, 2) and (10, -1) is:
y = (-3/4)x + 13/2
The correct answer is: Option C: y - 2 = -3/4(x - 6).
Here, we have to find the equation of the line in point-slope form that matches the graph passing through the points (6, 2) and (10, -1), we first need to find the slope (m) of the line using the formula:
[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]
where [tex](x_1, y_1) = (6, 2) ; (x_2, y_2) = (10, -1)[/tex].
m = (-1 - 2) / (10 - 6)
m = (-3) / 4
Now that we have the slope (m), we can use the point-slope form of the equation of a line:
[tex]y - y_1 = m(x - x_1)[/tex]
Using the point (6, 2):
y - 2 = (-3/4)(x - 6)
Now, simplify the equation:
y - 2 = (-3/4)x + 9/2
Finally, move -2 to the other side to get the equation in the point-slope form (y = mx + b):
y = (-3/4)x + 9/2 + 2
y = (-3/4)x + 9/2 + 4/2
y = (-3/4)x + 13/2
So, the equation of the line in point-slope form that matches the graph passing through the points (6, 2) and (10, -1) is:
y = (-3/4)x + 13/2
The correct answer is: Option C: y - 2 = -3/4(x - 6).
To learn more on equation click:
https://brainly.com/question/14468218
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complete question:
missing graph is attached:
When x=-3 plzzzz help me quick
Answers
first plug in the x value
2(-3)^2 +3
then square that value, -3 squared is 9
2(9)+3
then multiply 2 and 9 to get 18
18+3
add the two numbers together
21
Answer:
21
Step-by-step explanation:
1. Evaluate = 2 * 3 ^ 2 + 3 = 2 * 9 + 3
2. Multiply = 2 * 9 = 18
3. Add 3 = 18 + 3 = 21
4. final answer = 21
helppppp plzzzzz helppp meeee
Answers
Answer:
a) 6
b) 8
Step-by-step explanation:
please tell me if im wrong
A home improvement store is analyzing the pricing of a line of lawnmowers. These are the cost and revenue
functions for a month of business, where x represents the selling price of a lawnmower:
R(X) = -2.075x2 + 768x
C(x) = -134.625x + 8,4037.5
Which selling prices result in a profit that is greater than or equal to zero?
Select all the correct answers.
120
135
285
300
335
Answers
Answer:
135
285
300
Step-by-step explanation:
Suppose 10 and 6 are common factors of two numbers. What other
factors must the numbers have in common? Explain.
Answers
Answer: 2
Step-by-step explanation:
We can list out their factors
10:1,2,5,10
6:1,2,3,6
Both have the same factors of 2.
Answer: 2
Step-by-step explanation:
since the factors or 10 are 5 and 2
and the factors of 6 are 3 and 2
then 2 must also be a common factor of the other numbers
when a number divides another number exactly the smaller number is called
Answers
Answer:
1) A number that divides another number evenly is called a factor of that number. For example, 16 can be divided evenly by 1, 2, 4, 8, and 16. So the numbers 1, 2, 4, 8, and 16 are called factors of 16.
2) A number that divides a given set of numbers is called a common factor of the numbers.
Step-by-step explanation:
i hope its right
write the first five terms of the geometric sequence with the given 1st term and the common ratio.
—
hi can someone please answer my question i really need the complete step-by-step solution thank you ❤️
Answers
Answer:
1/2, 1/4, 1/8, 1/16, 1/32Step-by-step explanation:
Given GP with:
[tex]a_1= 1/2, r = 1/2[/tex]The equation for nth term is:
[tex]a_n=a_1*r^{n-1}[/tex]Find the first 5 terms:
[tex]a_1=1/2\\a_2=1/2*1/2=1/4\\a_3=1/2*(1/2)^2=1/8\\a_4=1/2*(1/2)^3=1/16\\a_5=1/2*(1/2)^4=1/32[/tex]Can you help me please someone
Answers
Answer:
< HZG = 142 degrees
Step-by-step explanation:
180-38 = 142
<HZJ + <HZG = 180 degrees degrees (linear pair angles)
Please help me with this
Answers
Answer:
=
2 1/ 18
Step-by-step explanation:
2 1/2 plus 5/9 Calculation steps: (0 + 1) +(5/9 + 1/2)
Four times a number, subtracted from four, is twice the number. Find the number.
Answers
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
let the number be n , then
4 - 4n = 2n ( add 4n to both sides )
4 = 6n ( divide both sides by 6 )
[tex]\frac{4}{6}[/tex] = n
The number is [tex]\frac{2}{3}[/tex]
Answer:
Let the number = x
4 - 4x= 2x
4 = 2x+4x
4 = 6x
x = 4/6
x = 2/3
Step by Step explanation:
If you like my answer than please mark me brainliest thanks
Jill is thinking of a number. Twenty less than one forth of the number is -45. Find Jill's number.
Answers
Answer:
The number is -100, Jill can think of something else, now.
Step-by-step explanation:
x = the number
x/4 - 20 = -45 {twenty less than one-fourth of the number is -45}
x/4 = -25 {added 20 to each side}
x = -100 {multiplied each side by 4}
Answer:
-31.25
Step-by-step explanation:
Jill's number=[1/4×(-45)]-20
=-11.25-20
=-31.25
need ko po ng help pls po
Answers
Answer:
1. 32.81 feet
2, 12.7 mm
3. 41.01 feet
4. 50cm
5, 72 mm or 2.83 inch or 2 inch and 13th 2+(13/16)
6 9.652 dm ir 9.7dm = (decimetre)
7. 1.2 cm
8. 4.2 mm
9. 14 cm
10. 23.8 mm
Step-by-step explanation:
1,000 times what equals 1,000.50
Answers
Answer:
1.0005
Step-by-step explanation:
1000.5 ÷ 1000 = 1.0005
Ay help its easy pleaseeee.
Answers
Answer:
425ft.
Step-by-step explanation:
Just add 395 and 30 together.
Hope this helps. Pls give brainliest!
Answer:
425 ft
Step-by-step explanation:
So the snorkeling was 30 ft BELOW sea level while the hike was 395 ft ABOVE sea level.
Below is negative so 30 ft below is -30
Above is positive so 395 ft above is 395
the difference between 395 and -30 looks like this:
395- (-30)
So you can simplify to get this equation:
395+30
which is 425
So the difference between the snorkel and hike is 425 ft
Hope this helps!
(3√200+ 5√150 - 7√600) : √50
Answers
Answer:
-67.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
I don't know if I did this right, but I ended up with 30√2 - 45√6
Sorry If it isn't right, have a nice day and keep learning
Write an equation with variables on both sides that has no solution. Explain why it has no solution.
Answers
Answer:
4x - 5 = 2(2x + 1)
Step-by-step explanation:
4x - 5 = 2(2x + 1)
4x - 5 = 4x + 2
Then you would subtract the 4x on each side leaving you with:
-5 = 2
And obviously the value of -5 does not equal the value of 2 so therefore this equation has no solution
Hope that was what you were looking for.
Pls help I will mark the brainlest
Answers
Answer:
C
Step-by-step explanation:
Divide the Y values by the X values to check your answer
Answer:
C
Step-by-step explanation:
The question asks for a 0.3 constant of proportionality between 'x' and 'y'.
So, if you multiplied 0.3 to the number in 'x', you would get the number in 'y'.
By process of elimination, we can find that in A, 0.3 * 6 is not 2 and it's the same for all the other numbers in the table.
For B, 3*0.3 is not 1.8 and 0.3 multiplied by the other numbers in B do not match the number in y.
The only answer that matches is C, 4*0.3 is 1.2, 8*0.3 is 2.4, and 13*0.3 is 3.9.
So, the answer is C.
Given the quadratic function
2x²+y=8x-6,identify the following.
Answers
Pls help, I will give BRAINLIEST
I’m confused with this question, so I can’t find the median because there is repeating numbers so yeah
Answers
Answer:
60
Step-by-step explanation:
To find the mean, add all numbers together and divide by the amount of numbers.
Total of number = 660
Number of numbers = 11
660/11 = 60
Answer:
The median is 70.
Step-by-step explanation:
I believe you may have mixed up median with mode.
Here are the definitions of both:
Mode - The value that appears the most in a data set
Median - The middle number in a list of numbers ordered from least to greatest
To find the median of this data set, we must arrange the numbers from least to greatest!
20, 20, 30, 50, 60, 70, 70, 80, 80, 90, 90
Now we just have to figure out the middle number...which is 70!
20, 20, 30, 50, 60, 70, 70, 80, 80, 90, 90
I hope this helps! Let me know if you have any other questions :D
-1≤ 3x-10≤ 2 please help me
Answers
Answer:
3 ≤ x ≤ 4
Step-by-step explanation:
Step 1: Add 10 to all parts/sections.
[tex]-1 + 10 \leq 3x - 10 + 10 \leq 2+10[/tex] [tex]9\leq 3x\leq 12[/tex]Step 2: Divide all parts/sections by 3.
[tex]\frac{9}{3} \leq \frac{3x}{3} \leq \frac{12}{3}[/tex] [tex]3 \leq x \leq 4[/tex]Therefore, the answer is 3 ≤ x ≤ 4.
Answer:
3≤ x≤ 4
Step-by-step explanation:
-1≤ 3x-10≤ 2
Add 10 to each side
-1+10≤ 3x-10+10≤ 2+10
9≤ 3x≤ 12
Divide each side by 3
9/3≤ 3x/3≤ 12/3
3≤ x≤ 4
the height of a certain plant can be modeled by the formula h=3t+7 where h is the height in millimeters and t is the time in days. which of the following best describes the independent variables in this model?
Answers
Answer:where is the answer?
Samuel drives 144 miles in 2 1/4 hours. It he continues at the same rate, he will have driven
miles in hours
Answers
Answer:
36
Step-by-step explanation:
Solve each equation.)
9+t=35
Answers
Answer:
t = 26
Step-by-step explanation:
Step 1: Subtract 9 from both sides.
[tex]9 + t - 9 = 35 - 9[/tex] [tex]t = 26[/tex]Step 2: Check if solution is correct.
[tex]9 + 26 = 35[/tex] [tex]35=35[/tex]Therefore, t = 26.
Answer:
The Answer of
t=35-9
t=26
4 x -6
How many groups?
A. 4
B. -6
Answers
Answer:
2(2x - 3)
the grouping is [ ]
S is the midpoint of RT, and RS=14. find RT
Answers
By the Segment Addition Postulate, you can add two adjacent segments to get the total length of the segment.
Given that RS=14
That means that 14 is 1/2 if the total segment length, so we know that segment RT is also = to 14 to make the other half.
We have two lengths that are 14, so we simply add them together to find the total segment’s length.
14+14=28.
The total line segment is 28.
someone pls help... i’ll give brainliest !!
Answers
Need help pleaseeeee
Answers
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
The zeros of the given function is the value of x coordinates of the points where the function cuts (intersects) the x - axis .
here, the points at which the function intersects x - axis are :
(-3 , 0)(1 , 0)so, the required zeros are -3 and 1
Can someone help me pls? So I have a lab report that’s due today and I don’t know how to do it bc it won’t let me write or anything so can anyone tell me what or how to do it? (Also I’m on time4learning) and I know it’s not math but I need help
Answers
won't let me type it so I did picture
(This question is related to the picture question)
The fish population in local lake is 10,000 the population increases by half every year which function represents the fish population after X years
F(x)= 10,000 parentheses (1.5)^x
Pls help it would mean a lot I’m stressing need ASAP
Answers
Answer:
5. [tex]f(x) = 10,000 (1.5)^x[/tex]
Step-by-step explanation:
==>>We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.
Let's test itInitial: 10,000
After 1 year
10,000 + (.5*10000)
10,000 + 5000 = 15,000
--
After 2 years
15,000 + (.5*15000)
15,000 + 7500 = 22,500
--
Let's try our equation.
[tex]f(x) = 10,000 (1.5)^x[/tex]
[tex]x=2[/tex]
[tex]10,000(1.5)^2[/tex]
[tex]10,000(2.25) = 22,500[/tex]
*Edit: I just seen that the question is related to the picture question
Write the equation of a line with a point at `(-3,2)` and has a slope of `\frac{1}{2}`.
Answers
Answer:
y = (1/2)x + 7/2
Step-by-step explanation:
y = ax + b (general form of a linear function)
a = 1/2 (slope)
y = (1/2)x + b
(-3, 2) is on the line, 2 = (1/2)*(-3) + b
2 = -3/2 + b
b = 2 + 3/2
b = 7/2
equation: y = (1/2)x + 7/2