Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ, choose two or more points on the line and find the images of the points.)
Answers
Answer:
[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]
Step-by-step explanation:
Two points (1, -1) and (0, 6) are lying on the given line.
Rule to find the coordinates of a point by the rotation of 90° clockwise is,
(x, y) → (y, -x)
Therefore, image points of (1, -1) and (0, 6) will be,
(1, -1) → (-1, -1)
(0, 6) → (6, 0)
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (-1, -1) and (6, 0) will be,
m = [tex]\frac{0+1}{6+1}[/tex] = [tex]\frac{1}{7}[/tex]
Equation of the line passing through (6, 0) and slope = [tex]\frac{1}{7}[/tex]
y - y' = m(x - x')
y - 0 = [tex]\frac{1}{7}(x - 6)[/tex]
[tex]y=\frac{1}{7}x-\frac{6}{7}[/tex]
Related Questions
Farrah, Alice, and Pia each bought between 5 and 8 feet of yarn. Farrah bought 7 pieces of yarn. Alice bought 6 pieces of yarn. Pia bought 9 pieces of yarn. The lengths of yarn are given below.
Drag yarn to the box below each person's name to show what they could have bought.
Answers
Answer:
Farrah: 5 pieces of (3/4) blue yarn, 1 piece of (1 3/5) red yarn, and 1 piece of (2 1/2) green yard
Alice: 3 pieces of (3/4) blue yarn, 2 pieces of (1 3/5) red yarn, and 1 piece of (2 1/2) green yard
Pia: 9 pieces of (3/4) blue yarn
Explanation: Farrah: (0.75*5)+1 3/5+2.5 = 7.85 ft
Alice: (0.75*3)+(1 3/5*2)+2.5= 7.95 ft
Pia: 0.75*9 = 6.75 ft
Hope it helps :)
Have a good day/night
Brainliest pls?
Answer:
Step-by-step explanation:
Farrah
5 pieces of (3/4) blue yarn,
1 piece of (1 3/5) red yarn,
1 piece of (2 1/2) green yard
Alice
3 pieces of (3/4) blue yarn,
2 pieces of (1 3/5) red yarn
1 piece of (2 1/2) green yard
Pia
9 pieces of (3/4) blue yarn
Find the measure of the exterior angle.
64
76
Answers
Using the exterior angles theorem, the measure of the exterior angle(k) is 140 degrees.
How to find the exterior angles of a triangle?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
The two remote interior angles are 76 degrees and 64 degrees.
Therefore,
76 + 64 = k
k = 140 degrees.
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What is the coefficient in the expression; 21 + 3x
Answers
Together, Matthew and Daniel have 67 DVDs. Matthew's collection has 3 times as many DVDs as Daniel's collection. Write an algebraic equation can be used to determine the number of DVDs in Daniel's collection. Use x as your variable.
Answers
4x=67 is the equation can be used to determine the number of DVDs in Daniel's collection.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Together, Matthew and Daniel have 67 DVDs.
M+D=67
Let x represents the number of DVDs
Matthew's collection has 3 times as many DVDs as Daniel's collection.
M=3D
Now M=D=x
As Matthew and Daniel have 67 DVDs.
3x+x=67
4x=67
Hence, 4x=67 is the equation can be used to determine the number of DVDs in Daniel's collection.
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Can someone help me with the equation please?
Answers
Answer:
6 shirts
Step-by-step explanation:
she spent 56 in total
56-20 for the pants
36 left and she bought 6 shirts
36 divided by 6
6
2x-2y= 14 standard to slope and intercept form
Answers
2x - 2y = 14
-2y = 14-2x
y= -7 + x
y = x - 7
Amaya ran for president of chess club, and she received 18 by this. There were 30 members in the club. What percentage of the club members voted for Mýa HELP PLEASE
Answers
18/30 =3/5 =60/100 =60%
(-6x^2-x)-(-4x^2+10x-1)
will give brainlest and 20 points and please hurry
Answers
Answer -10x 2- 11x +1 (2 as a exponent) im not completely sure if its right but i tried
Step-by-step explanation:
What is the slope of the line that passes through the point (8, - 4) and (6, 2) ? Write your answer in simplest form.
Answers
Answer:
y= -3x + 20
Step-by-step explanation:
just graph it out
Using the approximation 3.14 for pi, what is the radius of a circle with circumference 69.1 m?
Answers
Answer:
11.0
Step-by-step explanation:
Circumfrence = 2 x pi x r.
making radius, r the subject of relation, you.get 11.003184713
Answer:
Hey!
Your answer is 11cm!
Step-by-step explanation:
So to get the radius from the Circumference we need both the Circumference and the value of pi...3.14
Radius = [tex]\frac{C}{2\pi }[/tex] ... (that's the formula)
WE SUBSTITUTE IN:
Radius = 69.1/2 x 3.14
69.1/6.28
This equals = 10.99760656765
BUT 11cm when you round it to the next whole number or 2sf
I HOPE THIS HELPED YOU!2. In the tournament, the Tigers scored 44,
56, and 47 points in the first three games.
If their four-game tournament average
score was 52 points, how much did they
score in their final game?
B. 55
C. 58
E. None of the above
Answers
Answer:
58
Step-by-step explanation:
Please help. I do not understand and I have limited time to do so
Answers
Answer:
D would be the answer
Step-by-step explanation:
since you have a positive 12 at the end of your equation(thats your y intercept 0,12) then you can eliminate A, B. Next you would plug in (-3,0) in your equation and see if it would work and it did so thats your answer. ( i know thats not the formal way to do it but its a shortcut i like to use ;)
Solve:
2/3x +4 - 3/5 -2
Answers
Answer:
0.666667*x+4-3/5-2
HOPE I HELP!!!! :)
what is the value of 6x (power of 2) when x=1.5
Answers
Use the formula an = d (n − 1) + aj to write a formula for the arithmetic sequence below.
2, 6, 10, 14, 18,
Answers
Answer:
[tex]a_{n}[/tex] = 4n - 2
Step-by-step explanation:
There is a common difference d between consecutive terms in the sequence, that is
6 - 2 = 10 - 6 = 14 - 10 = 18 - 14 = 4
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 4 , thus
[tex]a_{n}[/tex] = 2 + 4(n - 1) = 2 + 4n - 4 = 4n - 2
the sum of three consecutive odd integers is 57. what are the three integers
Answers
Answer:
17,19,21
Step-by-step explanation:
let the first odd number be "x"
formular : (x)+(x+2)+(x+4).
3x+6=57
3x=57-6
3x=51
x=51/3
x=17
apply the formular.
17,(17+2),(17+4)
17,19,21.
Elizabeth her family's dinner bill was $79.00. How much tip will her family give the waiter, if they tip 23%?
Help me please
Answers
Answer:
29.11
Step-by-step explanation:
If multiple people answer i will mark the the first brainliest
Answers
Answer:
nice
Step-by-step explanation:
explain how to convert decimal form into fractional form
Answers
Answer:
To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
Step-by-step explanation:
Answer:
[tex]to \: convert \:0.2 \: to \: fraction \: \: you \\ \: insert \: 1 \: from \: the \\ \: decimal \: point \\ \: and \: then \: zeros \: according \: to \: the \: \\ number \: of \: values \: you \: have \: after \: \\ the \: decimal \: point \: \\ \frac{2}{10} = 0.2 \\ ok \: convert \: 0.052 \: to \: fraction \: you \\ \frac{52}{1000} = 0.052[/tex]
What number goes in the box to show the
distributive property?
3(2 + 8) = 3 x 2 + X 8
6
2
B
8
Answers
Answer:
3 because 3 x 2 + 3 x 8 = 30 and 3(2+8)=30
i’m stuck please help
Answers
I hope this helped i know this explanation is a bit wonky
f(x) = 4x-1
g(x)=4- x
11) f(-4)=
12) For what value of x is g(x)=-4?
13) f(2)• g(2) =
14)
f(-3)
Answers
Step-by-step explanation:
11. f(-4)= 4x-1
11a. f(-4)= 4(-4)-1
11b. f(-4)= -16-1
11c. f(-4)=-17
12. For what value of x is g(x)=-4
12a. 4-? = -4
12b. 4-8= -4
12c. x = 8
13. (f(2)= 4x-1)×(g(2)= 4-x)
13a. (f(2)= 4(2)-1)×(g(2)= 4-(2)
13b. (f(2)= 8-1)×(g(2)= 4-2)
13c. (f(2)= 9)×(g(2)= 2)
13d. 18
14. f(-3)= 4x-1
14a. f(-3)= 4(-3)-1
14b. f(-3)= -12-1
14c. f(-3)= -13
An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground
Answers
Answer:
a) The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].
b) The height of the arch from the ground is 810 feet.
Step-by-step explanation:
Statement is incomplete. Complete statement is:
An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground.
Write an equation that represents the arch.
What is the height from the top of the arch to the ground?
a) Write an equation that represents the arch.
According to the statement, the archway is a vertical downward parabola. From Analytical Geometry we know that parabolas are represented by the following equation in standard form:
[tex]y-k = 4\cdot p\cdot (x-h)^{2}[/tex] (Eq. 1)
Where:
[tex]p[/tex] - Distance between vertex and focus, measured in feet.
[tex]x[/tex] - Independent variable, measured in feet.
[tex]y[/tex] - Dependent variable, measured in feet.
[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, measured in feet.
If we know that [tex]p = -2.5\,ft[/tex], [tex]h = 0\,ft[/tex] and [tex]k = 0\,ft[/tex], then the equation that represents the arch:
[tex]y = -10\cdot x^{2}[/tex]
The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].
b) What is the height from the top of the arch to the ground?
Given that parabola is a symmetrical curve, we determine the vertical position at the base of the arch ([tex]x = 9\,ft[/tex]):
[tex]y_{min} = -10\cdot (9\,ft)^{2}[/tex]
[tex]y_{min} = -810\,ft[/tex]
Then, the height of the arch from the ground is given by this difference:
[tex]h = 0\,ft-(-810\,ft)[/tex]
[tex]h = 810\,ft[/tex]
The height of the arch from the ground is 810 feet.
halp plz am really dumb my brain doesnt work today
Answers
Answer:
4
Step-by-step explanation:
Answer:
0.4
hope this is usefull to you
answer for these. this is not any kind of test.
Answers
Step-by-step explanation:
12) 42
13) 10.4
14)
a) 0.25
b) 0.39
15) 2.1
16) 35.7
17) 270£
32x – 14x = 288
with solution please and thank you
Answers
Answer:
x=16
Step-by-step explanation:
32x−14x=288
Step 1: Simplify both sides of the equation.
32x−14x=288
32x+−14x=288
(32x+−14x)=288(Combine Like Terms)
18x=288
18x=288
Step 2: Divide both sides by 18.
18x18=28818
x=16
Answer: x = 16
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Step 1: Simplify 32[tex]x[/tex] − 14[tex]x[/tex] to 18[tex]x[/tex].
18[tex]x[/tex] = 288
Step 2: Divide both sides by 18.
[tex]x = \frac{288}{18}[/tex]
Step 3: Simplify [tex]\frac{288}{18}[/tex] to 16.
[tex]x[/tex] = 16
~I hope I helped you! :)~
Solve the proportion for n. 36/8 = n/4
Answers
Answer:
N = 18
Step-by-step explanation:
Answer:
18/4
Step-by-step explanation:
Somebody please help me I’ll give you brainiest if you’re right
Answers
Answer: I belive the answer would be 18 the only number we have is 52 and 36 the other answers just don't make sense, I am only taking 9th grade but hey I try!
Step-by-step explanation:
264 equals the sum of 96 and t
Write the sentence as an equation.
Answers
Answer:
96+t=264
Step-by-step explanation:
No explanation needed!
4. Square ABCD is shown. What is the length of diagonal AC? Round to the nearest tenth, if necessary.
Answers
Answer:
hey! You have to use the trigonometric formula because it's a rectangle triangle:
(a^2)+(b^2)=(c^2)
(11^2)+(11^2)=(c^2)
√(242)=√(c^2)
15.56=c
So basically, the answer is D!
The square ABCD has equal sides, and the length of the diagonal AC is 15.6 centimeters
How to determine the length of the diagonal?The side length of the square is given as:
l = 11 cm
The length of the diagonal is calculated using:
Diagonal = l * √2
This gives
Diagonal = 11 * √2
Evaluate
Diagonal = 15.6
Hence, the length of the diagonal AC is 15.6 centimeters
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