Answer:
C. TRANSLATE 2 UNITS UP AND 4 UNITS DOWN
Step-by-step explanation:
The transformation that takes place with the following rule (x - 2, y + 4) is translates 2 units left AND 4 units up, the correct option is A.
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units:
y=f(x+c) (same output, but c units earlier)
Right shift by c units:
y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = [tex]k \times f(x)[/tex]
Horizontal stretch by a factor k: y =[tex]f\left(\dfrac{x}{k}\right)[/tex]
We are given that;
The points (x - 2, y + 4)
Now,
The rule (x - 2, y + 4) means that every point (x,y) of the original figure is moved to a new point (x - 2, y + 4) by subtracting 2 from the x-coordinate and adding 4 to the y-coordinate.
The x-axis is horizontal and positive to the right. Subtracting from the x-coordinate means moving left and adding to the x-coordinate means moving right.
The y-axis is vertical and positive upwards. Subtracting from the y-coordinate means moving down and adding to the y-coordinate means moving up.
Subtracting 2 from the x-coordinate means moving 2 units left and adding 4 to the y-coordinate means moving 4 units up.
Therefore, by transforming functions the answer will be translates 2 units left AND 4 units up.
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On a survey, 6 students reported how many minutes it takes them to travel to school. Here are their responses.
Find the mean travel time for these students.
4, 11, 14, 9, 4, 8
The vertex is 2,-4 what is the parabola equation
Answer:
y + 4 = (x - 2)^2
Step-by-step explanation:
The vertex form of the equation of a vertical parabola is
y - k = a(x - h)^2, where (h, k) represents the vertex and a is a scaling factor which stretches or compresses the parabola vertically. If all we know is the vertex (2, -4), then the desired equation is:
y + 4 = a(x - 2)^2
If there is no vertical stretching or compression, then the equation becomes:
y + 4 = (x - 2)^2
Answer:
y = x² - 4x
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 4) , with a = 1 , the equation is
y = (x - 2)² - 4 ← expand using FOIL
= x² - 4x + 4 - 4
y = x² - 4x ← equation of parabola
Find the volume of a cone with a
radius of 10 and a height of 7. Use 3.14 for n and
round the answer to the nearest whole number.
Answer:
Step-by-step explanation:
Volume of a cone formula is
[tex]V=\frac{1}{3}\pi r^2h[/tex] where r is radius and h is height. Filling in:
[tex]V=\frac{1}{3}(3.14)(10)^2(7)[/tex] and doing all the math on that and rounding gives us
V = 733 units cubed
PLEASE HELP! Simplify 2x^2+4xy+2y^2
Answer:
(x+y)(2x+2y)
Step-by-step explanation:
=2x^2 + 2xy + 2xy + 2y^2
=2x(x+y) + 2y(x+y)
=(x+y)(2x+2y)
Algebra 1 need help ASAP
Answer:
Step 1: 12-2a=3a-18
Step 2: 12-5a=-18
Step 3: -5a=-30
Step 4: a=6
I hope this helps!
pls ❤ and give brainliest pls
What is the value of the expression 53.5-5? please explain
Answer:
48.5
Step-by-step explanation:
53.5
- 5.0
48.5
5 tenths - 0 tenths = 5 tenths (.5)
3 minus 5, three smaller than 5 so BORROW 10 13 -5 = 8 (8)
the 5 in the tens position becomes a four because one got "borrowed"
4 - 0 = 4 (4)
48.5 is the result
A pizza parlor offers 4 different pizza toppings. How many different kinds of 2-topping pizzas are available?
Answer:
you need to be more specific.
Step-by-step explanation:
NEED ASAP!!!
In this figure, AB || CD and m/_3=120
What is m/_6?
Enter your answer in the box
Answer:
m/_6=60
Step-by-step explanation:
angles 3 and 6 are same side interior angles makeing them suplimentary.
180-/_3=/_6
180-120=60
it works both ways as well!
Before soccer practice, Laura warms up by jogging around the outside of the entire soccer field. The field measures 80 meters by 120 meters.
3x + 5 = x - 3
What is the solution to this equation? Show all the steps you used to solve this equation.
Answer:
x = -4
Step-by-step explanation:
3x + 5 = x - 3
Subtract x from each side
3x+5-x = x-3-x
2x+5 = -3
Subtract 5 from each side
2x+5-5 = -3-5
2x = -8
Divide each side by 2
2x/2 = -8/2
x = -4
express 40% of a right angle into radian measure
40% of a right angle into radian measure will be π/5.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
40% of a right angle.
We know that the right angle given in the form of radian will be as π / 2.
Then the 40% of the right angle will be given as,
⇒ 40% of π/2
⇒ 0.40 × π/2
⇒ 2/5 × π/2
⇒ π/5
40% of a right angle into radian measure will be π/5.
More about the angled link is given below.
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What quadratic formula do I need to use to solve 3x(x+6)=-1
Answer:
[tex]\Large \boxed{x_1=\frac{9+\sqrt{51} }{3} \ \ ; \ \ x_2=\frac{9-\sqrt{51} }{3} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} 3x(x+6)=-10 \\\\3x^2+18x=-10 \\\\3x^2+18x+10=0 \\\\D=324-120=204 \\\\ x_{1;2}=\frac{18\pm2\sqrt{51} }{6} =\frac{9\pm\sqrt{51} }{3}[/tex]
In January, the average temperature t hours after midnight in Mumbai, India, is given by:
T(t)=24.5-5.5sin((2pi(t+1))/24)
What is the coldest time of day in Mumbai? give an exact answer
The coldest time of day in Mumbai is 5 hours after midnight.
Since the average temperature t hours after midnight in Mumbai, India, is given by:
T(t)=24.5-5.5sin((2pi(t+1))/24)
We have that
T(t) = 24.5 - 5.5sin((2π(t+1))/24)
The coldest time of day is when T(t) is minimum.
T(t) is minimum when 5.5sin((2π(t+1))/24) is minimum where t is the coldest time of day at minimum temperature, T(t).
Since for a sine function, -1 ≤ sinФ ≤ 1, the minimum value of sinФ = -1.
So, T(t) = 24.5 - 5.5sin((2π(t+1))/24) is minimum when
5.5sin((2π(t+1))/24) is minimum.
Also, -5.5sin((2π(t+1))/24) = 5.5 × -1 at minimum temperature T(t)
So, 5.5 × -1 = 5.5 × -sin((2π(t+1))/24)
So, -sin((2π(t+1))/24) = -1
sin((2π(t+1))/24) = 1
Taking inverse sine of both sides, we have
sin⁻¹sin((2π(t+1))/24) = sin⁻¹(1)
((2π(t+1))/24) = π/2
Multiplying both sides by 24, we have
(2π(t+1))/24 × 24 = π/2 × 24
(2π(t+1)) = 12π
Dividing both sides by 2π, we have
2π(t+1)/2π = 12π/2π
t + 1 = 6
t = 6 - 1
t = 5 hours
So, the coldest time of day in Mumbai is 5 hours after midnight.
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Find the standard deviation for the set of data.
{5,4, 18, 14, 22, 20, 6, 16, 12}
If f(x) = 6/x-1
for what value of x does f(x) = 5 ?
Answer:
11/5
Step-by-step explanation:
f(x) = 6/x-1
f(x) = 5
6/x-1 = 5
=> 6 = 5(x-1)
=> 6 = 5x - 5
=> 11 = 5x
=> 5x = 11
=> x = 11/5
Instructions: Find the missing side of the triangle.
30
х
50
X=
Answer:
x = 40
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 30² = 50²
x² + 900 = 2500 ( subtract 900 from both sides )
x² = 1600 ( take the square root of both sides )
x = [tex]\sqrt{1600}[/tex] = 40
Find the indicated side of the
right triangle.
45°
y
6
45
Х
y = [?] /
Answer:
hello dear...
see first of all there's a thm type thing
'' sides opposite to equal angles are equal ''
so here 45 degrees in both sides are equal which leads us that opposite sides are equal as well
so x = 6
now we got value of 2 sides, both are 6 and now applying pythogarus as it is right angle
6^2 + 6^2 = y^2
36+36 = y^2
72 = y^2
y = √72
y = √36*2
y = 6√2
brainliest plssss <33
Luke is swimming in still water at a constant speed of 3 meters/second.
If you graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is
.
A point on this line that corresponds to the distance Luke swam in 45 seconds is
Answer:
1. velocity
Step-by-step explanation:
that is the answer above
What is the solution to this equation?
6(x - 3) = 3x + 9
OA.X-1
OB.X=9
OC.X=3
OD X=-3
NO WRONG ANSWERS ILL REPORT YOUR ANSWER
6(x-3)=3x+9
6x-18=3x+9
6x-3x=18+9
3x=27
x=27 ÷3
x=9
Hope this will help you
The solution is x = 9, which is an option (B).
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Let's simplify the equation by distributing 6 on the left-hand side:
6x - 18 = 3x + 9
Now, let's isolate the x terms on one side and the constant terms on the other side:
6x - 3x = 9 + 18
3x = 27
x = 9
Therefore, the solution to the equation 6(x - 3) = 3x + 9 is x = 9, which is option B.
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The circumference of a circle is 17pi ft. what is the area, in square feet?
Answer:
72.25 pi ft^2
Step-by-step explanation:
The circumference of a circle is
C = 2*pi*r
17 pi = 2*pi*r
Divide each side by 2pi
17 pi / 2pi = 2 pi r / 2pi
17/2 = r
We want to find the area
A = pi r^2
A = pi ( 17/2) ^2
A =289/4 pi ft^2
A = 72.25 pi ft^2
An ice-making machine needs to be switched on
for 10 minutes before the production of ice begins.
The mass, in tờnnes, of ice produced is directly
proportional to the number of hours of production.
Given that 20 tonnes ofâce are produced when the
machine runs for half an hour, find the mass of ice
manufactured when the machine runs for
1.75 hours
Since the question explicitly stated that ice production is proportional to time, we're going to have to use proportion fractions. Remember to convert hours into minutes as well.
Find the length of the arc.
We know
Length if arc=L[tex]\boxed{\sf L=\dfrac{\theta}{360}\times 2πr}[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{135}{360}\times2π(7)[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{27}{72}\times 14π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{27}{36}\times 14π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{9}{12}\times 7π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{63π}{12}[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{21π}{4}in[/tex]
The area of a square field is 1 17/64 m2. What is the perimeter of the square field? Can some1 say this ans fast pls
Answer:
5.41 m
Step-by-step explanation:
First, let's find a side length by taking the square root of the area.
117/64 ^ 1/2 = 1.352...
Next, we need to multiply by 4.
1.352... x 4 = 5.408...
= approximately 5.41
What is an equation of the line that passes through the point (-5,-4) and is
perpendicular to the line 53 + 6y = 36?
Answer:
Submit Answer
attempt 1 out of 2
Answer:
6,25
Step-by-step explanation:
PLEASE HELP!!! The length, width, and height of a right rectangular prism are doubled. What will be the effect on the volume of the prism?
Answer:
The volume is multiplied by 8.
Step by step explanation:
Let the length equal l, the width equal w, and the height equal h for the original rectangular prism.
The volume of a right rectangular prism with length l, width w, and height h is V=lwh.
Therefore, the volume of the original prism is lwh.
The new rectangular prism has dimensions that are twice those of the original rectangular prism: the length equals 2l, the width equals 2w, and the height equals 2h.
To calculate the volume of the rectangular prism, substitute the doubled values into the formula for the volume of a rectangular prism.
V=2l·2w·2h
Simplify.
V=8lwh
The new volume is 8lwh.
If the length, width, and height of a right rectangular prism are doubled, the volume is multiplied by 8.
Therefore, the new volume is the original volume multiplied by 8.
plz plz solve this.
Step-by-step explanation:
Disclaimer: When writing this on the paper use the theta symbol, I'm using x since I'm on mobile.
2.
i).
[tex] \sin(x) \tan(x) \sec(x) = \tan {}^{2} (x) [/tex]
[tex] \sin(x) \sec(x) \tan(x) = \tan {}^{2} (x) [/tex]
[tex] \sin(x) \frac{1}{ \cos(x) } \tan(x) = \tan {}^{2} (x) [/tex]
[tex] \frac{ \sin(x) }{ \cos(x) } \tan(x) = \tan {}^{2} (x) [/tex]
[tex] \tan( x) ) \tan(x) = \tan {}^{2} (x) [/tex]
[tex] \tan {}^{2} (x) = \tan {}^{2} (x) [/tex]
iii).
[tex] \sec {}^{2} (x) (1 - \sin {}^{2} ( x ) ) = 1[/tex]
[tex] \sec {}^{2} (x) ( \cos {}^{2} (x) ) = 1[/tex]
[tex] \frac{1}{ \cos {}^{2} (x) } \cos {}^{2} (x) = 1[/tex]
[tex]1 = 1[/tex]
v).
[tex] \cot {}^{2} (a) - \cos {}^{2} (a) = \cot {}^{2} (a) \cos {}^{2} (a) [/tex]
[tex] \frac{ \cos{}^{2} (x) }{ \sin {}^{2} (x) ) } - \cos {}^{2} (x) [/tex]
Factor out cosine
[tex] \cos {}^{2} (x) ( \frac{1}{ \sin {}^{2} (x) } - 1) [/tex]
Simplify
[tex] \cos {}^{2} (x) ( \frac{1 - \sin {}^{2} (x) }{ \sin(x) } [/tex]
[tex] \cos {}^{2} (x( \frac{ \cos {}^{2} (x) }{ \sin {}^{2} (x) } ) = [/tex]
[tex]( \cos {}^{2} ( x ) ( \cot {}^{2} (x) )[/tex]
A) 60° B) 85° C) 96° D) 40°
Answer:
A)60°
Step-by-step explanation:
a straight line is 180° then
if a line bisect it in to a half it become 90°
then
the exterior angle of a triangle is equal to the sum of two interior angles
this means 150°-90°=60°
Answer: A) 60
Step-by-step explanation:
The line at the top signifies 180 degrees, as does any straight line. The 150° that intersects with P tells you that P must be 30 degrees, as 180 - 150 = 30.
The three angles of a triangle must always equal 180°. Angle R tells you that it’s 90°, shown by the square instead of a curve. If you subtract the value of P we found before, and the value of R we just found, you get your answer.
180 - 30 - 90 = 60.
Please hurry I will mark you brainliest
What is the value of p in the equation of the line px + 2y + 8 = 0, so that the x-intercept is 4?
Answer:
p = -2
Step-by-step explanation:
px + 2y + 8 = 0
px + 2y = -8
p(4) = -8
p = -2
HELP FAST PLEASE!!! NEED ANSWER IN LESS THAN 10 MINUTES!! WILL GIVE BRAINLIEST!!
1. Compute -2 to the power of -3 × -3 to the power of -2.
2. Compute 2^10 x 2^8 x 2^6 x 2^4 x 2^2 x 2^-1 x 2^-3 x 2^-5 x 2^-7 x 2x-9.
3. Compute 2^16 x 4^-8 x 8^4 x 16^-2
TYSM for your help!!
1. (-(2^(-3)))*(-(3^(-2.)))=0.01388888888
2. -294912
3. 16
What is the value of r?
Answer:
r = 11
Step-by-step explanation:
Hi there!
This scenario represents a linear relation, given the equation [tex]m=rp+k[/tex].
Linear equations are typically written in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept. As you can see, [tex]y=mx+b[/tex] and the given equation [tex]m=rp+k[/tex] share the same form.
This makes r the slope. This is also stated in the question, as r is the amount of money ($) paid per page.
The ordered pairs in the table represents points on a graph, if we were to graph this. For example, (9, 308) and (12, 341) both fall on the graph of this relation.
To solve for r, we must solve for the slope using the slope equation:
[tex]r=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
We can use any two points from the table in this equation. For example, (9, 308) and (12, 341):
[tex]r=\displaystyle \frac{341-308}{12-9}\\\\r=\displaystyle \frac{33}{3}\\\\r=11[/tex]
Therefore, the value of r is 11.
I hope this helps!
