Answer:
y = - 2(x + 4)² + 6
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 ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
Part D
Compare your answers in parts B and C. Did your predictions for the coordinates of the reflected images match the actual results? Why or why
Answer/Step-by-step explanation:
Yes, it did because the coordinates of the other polygons would be a direct opposite of polygon ABCD depending on what line it reflects off of. If it reflects off of the y-axis then they would be the same coordinates, just that the X values of the coordinates would now be positive, for the reflection of the x-axis it is also the same except that now the x value would now stay negative while the y values would now be positive. For y=x, it is different because now the X, and Y place values now switch (for example, (-3,-2) would now be (-2,-3)). For y=-x, the place values would both switch, and now be positive.
PS; PLATO does not have an answer this is my personal answer since I am also on this assignment.
Sorry if this response is late! Hope you did well! :)
The coordinates of the reflected images match the actual results because of the following reason.
What is coordinate?Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).
Yes, because the coordinates of the other polygons will be in opposite of polygon ABCD depends on what line it reflects off .
Suppose if it reflects off of on the y-axis then the coordinates will be same, only the x- coordinate will be positive.
and if the reflection of the x-axis, the coordinate will be same only the y- coordinate will be negative and the x- coordinate remain positive.
but, For y=x it is different because now the both the x- coordinate and the y- coordinate will be switched with their sign.
Learn more about coordinate here:
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what is (3,0) reflected on the y-axis
Reflecting across the y axis, the x value becomes opposite and the y value remains the same.
(3,0) becomes (-3,0)
Answer:
(-3, 0)
Step-by-step explanation:
There is the same amount of units from either side of the y-axis to the points.
Convert 8 miles into kilometers. Round your answer to the nearest tenth.
8 miles is equal to 12.9 kilometers .
Given,
Convert 8 miles into kilometers .
Now,
From the metric system of unit conversion table we see that;
1 kilometer = 1000 meters (m)
1 meter = 100 centimeters (cm)
1 centimeter = 10 millimeters (mm)
Here we need the conversion factor that includes miles,
So according to the table 1 mile is equal to 1.609 kilometers .
Then,
8 miles will be equal to:
8*1.609
= 12.9 kilometers .
Hence the value of 8 miles in km is equal to 12.9 kilometers .
Know more about conversion,
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what is the equation of a line parallel to y=3x-2 and goes through the point (-1,1)
Answer:
y = 3 x − 29
Step-by-step explanation:
First, let's find the slope of the line
y = 3 x + 2
As the equation is already in slope-intercept form
y = m x + c
Slope = 3
Let a point ( x , y ) be on the new line.
By finding the slope again,
y − 1 x − 10 = 3
y − 1 = 3 ( x − 10 )
y − 1 = 3 x − 30
Which can then be converted to different forms:
Standard form:
3 x − y = 29
Equation form:
3 x − y−29 = 0
Slope-intercept form:
y = 3 x − 29
graph{3x-y=29 [-32.3, 47.7, -34.1, 5.9]}
What is y= 1/3x+2 equal to as a slope?
Answer:
The graph below models the value of a $20,000 car t years after it was purchased.
Value of Car
A graph titled Value of Car has years bbhvb ngc,jon the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000).
Which statement best describes why the value of the car is a function of the number of years since it was purchased?
Each car value, y, is associated with exactly one time, t.
Each time, t, is associated with exactly one car value, y.
The rate at which the car decreases in value is not constant.
There is no time, t, at which the value of the car is 0.
Step-by-step explanation:
all you need is in the photo
Answer:
slope is -1, y intercept is 5
Step-by-step explanation:
slope formula is y1-y2 over x1-x2
plug in formula
u get the slope is -1
Answers:
Slope = 4
Y intercept = 5
======================================================
Explanation:
Start at the point (-1,1) which is one point on the line. Then move up 4 units and to the right 1 unit to get to (0,5). This is another point on the line.
Therefore the slope = rise/run = 4/1 = 4.
You could also use the slope formula m = (y2-y1)/(x2-x1)
---------------
The y intercept is 5 since the line crosses the y axis at this location. More specifically this is the point (0,5). For any y intercept, x = 0.
The equation of this line in slope intercept form is y = 4x+5. Compare it to y = mx+b and we have m = 4 as the slope and b = 5 as the y intercept.
Which table represents a function?
Answer:
The table that starts with (-3, -1)
Step-by-step explanation:
For a table to represent a function the x value has to be different number. Such as, the other tables one has two -5, two -2, two -4 and etc. Do you get it
Answer: the first box
-3 -1
0 0
-2 -1
8 1
Step-by-step explanation: the x value can not repet it self but the y value can
please will give brain
PLEASE HELP ME WITH THIS LAST QUESTION PLEASE
Answer:
Is the answer -3x-y. If it is thank me plz.
Step-by-step explanation:
5(x – 10) = 30 – 15x
Solve
Answer:
x=4
Step-by-step explanation:
5(x-10) = 30- 15x
5x - 50= 30 - 15x
+15x +15x
20x - 50 = 30
+50 +50
20x = 80
/20 /20
x = 4
Hope this helps!
is y=5x proportional or non proprtional.
Answer:
Yes, y=5x is proportional. Hope this helps!
Determining the Value of the Slope from a Table
A 2-column table with 5 rows. Column 1 is labeled x with entries 1000, 1000, 1000, 1000, 1000. Column 2 is labeled y with entries 20, 23, 26, 29, 32.
What can you conclude about the slope of the values in the table? Check all that apply.
The slope is 3.
The slope is 0.
The slope is undefined.
The graph will be a horizontal line.
The graph will be a vertical line.
The graph will have a line with a positive slope.
Answer:
3 and 5
Step-by-step explanation:
Hope this helped :)
I did the same assignment and it was right!
Answer:
here is the answer
Step-by-step explanation:
I will give 30 points
Jane walks one mile from her house to her grandparents' house. Then she returns home, walking with her grandfather. Her return rate is 70% of her normal walking rate. Let r represent her normal walking rate. Write an expression of the amount of time Jane spends walking.
A. 1/r + 1/0.7r
B. 1/r + 1/70r
C. 1.7r
Answer:
1.7r
Step-by-step explanation:
Can a line be measured?
Answer:
yeah .It can be measured
Raul has 50 coupon books to sell.
The total amount of money Raul will make from selling X coupon books is represented by a function.
f(x)=20x
What is the practical domain of the function?
Answer: Domain: {x : 0≤ x ≤50 }
Step-by-step explanation:
Given: The total amount of money Raul will make from selling X coupon books is represented by a function.
[tex]f(x)=20x[/tex]
Domain is the set of x values in a function for which it is defined.Here, X= Number of coupon books .
Raul has 50 coupon books to sell.
So, 0≤ x ≤50 , as it is possible that non of that book will sell.
Hence, Domain: {x : 0≤ x ≤50 }
When the light turns green, Mark accelerates straight down the road at 1.8 m/s2 for 8 seconds. What is his final velocity at the end of those 8 seconds?
Answer:
Mark's final velocity at the end of the 8 seconds is 9.6 m/s
Step-by-step explanation:
The acceleration of mark after the light turns green, a = 1.8 m/s²
The time duration of the motion with the 1.8 m/s² acceleration, t = 8 seconds
Mark's final velocity at the end of the 8 seconds, v is found using the equation of motion for velocity as follows;
v = u + a × t
Where;
u = The initial velocity = 0 m/s
a = The acceleration = 1.8 m/s²
t = The time in motion = 8 seconds
Substituting gives;
v = 0 + 1.2 × 8 = 9.6
Mark's final velocity at the end of the 8 seconds, v = 9.6 m/s.
Final velocity after 8 second is 64 m/s
Final Velocity of car:Given:
Acceleration of mark = 8 m/s²
Time taken = 8 second
Find:
Final velocity of mark
Computation:
v = u + at
v = 0 + (8)(8)
v = 64 m/s
Final velocity of mark = 64 m/s
Find out more information about 'Acceleration.'
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PLEASE HELP ME BY ANSWERING AT LEAST 2 QUESTIONS ITS DUE IN 20 MINUTES
Answer:
Barry gets 300 first
Cheri gets 30 first
Barry gets 100 first
Representations:
Barry's profit = 5c + 20
Cheri's profit = 2c + 40
Step-by-step explanation:
well Barry's pprofit is
B = 5c + 20
and Cheri's profit is
C = 2c + 40
let's see who will get 300 first:
300 = 5c + 20
280 = 5c
56 = c
300 = 2c + 40
260 = 2c
130 = c
SO for 300 it is Barry who gets it first... same steps for others
Find the slope of line:6x+3y=21
Answer:
-2
Step-by-step explanation:
6x+3y=21
Bring the equation to y=mx+c form
3y=21-6x
y=-2x+7
When comparing, m=-2
Slope m=-2
There are 366 days in a leap year and 24 hours in a day. How many hours are in a leap year?
Answer:
8784. is the answer to the question
Answer:
8,784 hours
Step-by-step explanation:
You should come up with an equation. I came up with 366 x 24 = x. 366 is the number of days with 24 being the number of hours.
366 x 24 = 8,784 hours
75 (1+2z) simplified
6-(666+987889879878)
Answer:
−987889880538
Step-by-step explanation:
Answer:
-987889880538
Step-by-step explanation:
ez
Consider the equation (x – 4)2 + 3 = 12
Answer:
I'm guessing you're solving for X so
X= 17/2
Step-by-step explanation:
Need help ASAP Tysm
Answer:
16.81
Step-by-step explanation:
4.1x4.1=16.81
PLSS!!! HELP ME!!! I WILL MARK U!!!
Answer:
1.8
Step-by-step explanation:
27 miles per hour
so 27 divided by 15
im pretty sure that’s correct.
4. Suppose the the function f(x) = 5x + 7
represents the cost to play x rounds of
golf at the local mini-golf attraction. If you
have $20, how much more money do
you need to play 3 rounds of golf?
A. $22
C. $2
B. $15
D. $5
Answer:
c
Step-by-step explanation:
c
What is the potential energy of a car with a mass of 120kg at the top of a 42
meter hill?
Answer:
16
Step-by-step explanation:
1.
p: you pass the class
q: you go to the next grade
p -> ~q:_______________________________
~p->~q:_______________________________
Answer:
P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.
Step-by-step explanation:
In order to got to the next grade, you need to pass the class.
or
If you pass the class, you go to the next grade.
0.067318 to 2 significant figures
In two significant figures it is 0.067.
6x - 15 = 3 (2x-6) + 3
Answer:
hope this helps :)
Step-by-step explanation:
help would be greatly appreciated!!!
Answer:
m of 2=36
Step-by-step explanation:
You see that square box at the bottom of the angle? That means that both angles are equal to 90 degrees. so if you have the measure of 1 which is 54 you can set up a simple equation and solve it
90=54 + x which would equal 36
hope this helps :)