PLEASE HELP!!!!! Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin. Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?
Answer: A rotation of 180° around the origin.
Step-by-step explanation:
When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.
This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.
Now, let's analyze our case:
First a reflection over x-axis, and then a reflection over the y-axis.
This means that if our point starts in quadrant 1 then:
-The reflection over the x-axis will leave our point in quadrant 4.
-The reflection over the y-axis will leave our point in quadrant 3.
Now, if our point stated on quadrant 2.
-The reflection over the x-axis will leave our point in quadrant 3.
-The reflection over the y-axis will leave our point in quadrant 4.
So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.
This means that:
The distance between our point and the x-axis does not change.
The distance between our point and the y-axis does not change.
But if the distances to both axes do not change, then the distance between our point and the origin also does not change.
This means that we can find a rotation that is equivalent to this transformation.
So we must look at a rotation that moves our point 2 quadrants.
a rotation that moves our point 2 quadrants will be:
A rotation of 180° around the origin.
The amount of money that is left in a medical savings account is expressed by the equation y = negative 24 x + 379, where x represents the number of weeks and y represents the amount of money, in dollars, that is left in the account. After how many weeks will the account have $67 left in it?
[tex]67 = -24x + 379\\[/tex]
Subtract 379 from both sides.
that gives us: [tex]-312 = -24x[/tex]
divide both sides by -24 which equals: x = 13.
13 weeks
Answer:
13 weeks
Step-by-step explanation:
e d g e n u i t y 2020
19
Tell whether the triangles are similar. Explain.
Please help!!!!!!!
Answer:
Step-by-step explanation:
Help this person she really needs help! XD
If the m∠1 =57°, Find the measure of ∠6
A- 123 °
B- 57 °
C- 180 °
D- Cannot be determined
Answer:
123
Step-by-step explanation:
[tex]180 - 57 = 123[/tex]
The solution is, the value of m∠6 is 123, i.e. A- 123 °.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
here, we have,
from the given figure we get,
angle 1 is equal to angle 5
as they are corresponding angles,
so, m∠1 =57° = m∠5
now, we have,
that the sum of 5 & 6 is 180
so, they are supplementary angles.
i.e. m∠6 = 180 - m∠5
=180 - 57
=123
Hence, The solution is, the value of m∠6 is 123, i.e. A- 123 °.
To learn more on angle click:
brainly.com/question/28451077
#SPJ3
A ball is thrown vertically upward from the top of a building 224 feet tall with an initial velocity of 80 feet per second. The distance s (in feet) of the ball from the ground after t seconds is 224 0t 6ts = +8 −1 2a) After how many seconds does the ball pass the top of the building? b) After how many seconds does the ball strike the ground?
Answer:
i dont really know
Step-by-step explanation:
You can search t up on googl nd get the answer most lieyly
24 divided by 7872
PLEASE HELP
Answer:
328 IF its 7,872 divided 24. If it 7,872 divided by 24 then it's 0.00304878049
Step-by-step explanation: Please mark as brainlest i really need to keep me motivated.
4 ( -x + 4 ) = 12
what is the value of x
Answer:
X=1
Step-by-step explanation:
Answer:
X = 1
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.
Is the answer y=2x+3 ??
Answer:
y = -1/2x + 9
Step-by-step explanation:
y - 7 = -1/2(x - 4)
y - 7 = -1/2x + 2
y = -1/2x + 2 + 7
y = -1/2x + 9
Find the value of x. PLEASE HELP - test tomorrow
The answer is 74.
I need to show my work.
THANK YOU!!!!!
Answer:
x = 74
Step-by-step explanation:
If you add all the angles in the diagram, you will get 360 degrees (since it's a complete revolution, and one revolution = 360 degrees).
Form an equation in x with this information:
4x+1+x-35+24 = 360
5x -10 = 360
5x = 370
x = 74
Alexa is using 6 pounds of apples to make pies.
How many ounces of apples is Alexa using for the pies?
Answer:
96 oz
Step-by-step explanation:
There are 16 oz in a pound, so you do 16 * 6 = 96
simplify 6(–2y) – 9 + 4(–2y + 6)
Answer:
-20y+15
Step-by-step explanation:
How do I solve for pie?
hey ITSBLESIVGURL ill text you after school also what is 22+77?
Answer:
99
Step-by-step explanation:
cause im smart teehee
The equation s =square root 30fd can be used to find the car's speed s in mph given the length d in feet of a skid mark and the friction factor f of the road. Police measured a skid mark of 90 feet on a dry concrete road. If the speed limit is 35mph, was the car speeding? Explain
Answer:
Yes, the car was speeding the speed limit.
Step-by-step explanation:
The given equation to find the car's speed, s (in mph), is
[tex]s=\sqrt{30fd}[/tex]
where, d is the length of the skid and f is the friction factor.
Police measured a skid mark of 90 feet, so d=90
As the road is dry and of concrete, therefore the friction factor, f=0.8.
So, the speed of the car
[tex]s=\sqrt{30\times0.8\times90} = 46.48[/tex] mph
The speed of the car is 46.48 mph which is more than the speed limit of 35 mph.
Hence, the car was speeding the speed limit.
Round 11,900 to the nearest thousand.
Answer:
12,000
Step-by-step explanation:
the answer is 12,000 bc if its over 11,500 you round up and if its 11,400 then you round it to 11,000.
Evaluate the equation for the indicated value, f(n)=5n+8 for f(4),
The value of the function f(n)=5n+8 for f(4) will be 28.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given function is f(n)=5n+8. The value of the function at equal to 4 will be calculated as below:-
f(n)=5n+8
f(4) = ( 5 x 4 + 8 )
f(4) = 20 + 8
f(4) = 28
Therefore, the value of the function f(n)=5n+8 for f(4) will be 28.
To know more about functions follow
https://brainly.com/question/17043948
#SPJ2
Which of the statements below is true for the following set of numbers?
20, 5, 50, 95, 75, 60
O The range and the midrange are equal.
O The range is 90 and the midrange is 45.
O The range is 95 and the midrange is 55.
O The range is 90 and the midrange is
Answer:
D
Step-by-step explanation:
Nik scored 48 points in six games. How much did he score per game?
I
Answer:
8
Step-by-step explanation:
48/6 =8
the product of two odd numbers
Answer:
Odd
Step-by-step explanation:
2 odd numbers will always create another odd number.
Name each polynomial by degree and number of terms. 1) 9x + 5
Answer:
1st degree binomial
Step-by-step explanation:
Answer:
1rst degree
binomial
Step-by-step explanation:
i need help ASAP pls make sure to show your work.
Answer:
Step-by-step explanation:
2) 6.230 (3.115
6
0 2
- 2
0 3
- 2
1 0
-1 0
0
125) 6000 (4.8 ( on multiplying numerator and denominator by 100)
-500
1000
-1000
0
This equation shows how the total number of souvenirs Mark buys is related to the number of days he spends on vacation. s = d The variable d represents the number of days he spends on vacation, and the variable s represents the total number of souvenirs he buys. How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?
Answer:
12 days
Step-by-step explanation:
Given:
s = d
Where,
d = number of days he spends on vacation
s = total number of souvenirs he buys
How many days will Mark have to spend on vacation before he will have bought a total of 12 souvenirs?
s = 12
Since,
s = d
Then,
12 = d
Therefore, Mark will have to spend a total of 12 days on vacation before he will have bought a total of 12 souvenirs
Help me doing this plzzz
Answer:
4x³+8x²-x-2=4x².(x+2)-(x+2)=(4x²-1).(x+2)=(2x-1).(2x+1).(x+2)
I really need help asappp
Answer:
d
Step-by-step explanation:
Answer:I say D the other wont work so D
Step-by-step explanation:
what is the value of 2x + 2(xy-z) where x=3, y=4 and z=-1
Answer:
32
Step-by-step explanation:
2(3)+2((3×4)-(-1))
=6+2(12+1)
=6+26
=32
log 2 x=a then what is logx 36
Answer:
A is the answer
Step-by-step explanation:
please vote me
Simplify this expression. 17 - 12x - 18 - 5x = ??
Alonso plans to buy a new kayak that costs $2,100. But he needs to pay a 8.5% tax. What is the total cost of the kayak?
Answer:
$ 2,273.25
Step-by-step explanation:
given the equation f(x)= -10x-4 and g(x)=6-2x, find f(x) - g(x)
Answer:
Step-by-step explanation:
[tex]f(x) = - 10x - 4[/tex]
[tex]g(x) = 6 - 2x[/tex]
_________________________________
[tex]f(x) - g(x) = [/tex]
[tex]( - 10x - 4) - (6 - 2x) = [/tex]
[tex] - 10x - 4 - 6 + 2x = [/tex]
[tex] - 8x - 10[/tex]
Thus ;
[tex]f(x) - g(x) = - 8x - 10[/tex]
_________________________________
And we're done.....♥️♥️♥️♥️♥️
What is 7/8 x 4/5 divided by 7/20
Answer: 2
Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.
