Given:
Consider the three points are A(-1,1), B(1,-2) and C(0,-4).
These points rotated 270 degrees by the origin.
To find:
The coordinates of points after rotation.
Solution:
If a figure rotated 270 degrees by the origin, then
[tex](x,y)\to (y,-x)[/tex]
Using this rule of transformation, we get
[tex]A(-1,1)\to A'(1,1)[/tex]
[tex]B(1,-2)\to B'(-2,-1)[/tex]
[tex]C(0,-4)\to C'(-4,0)[/tex]
Therefore, the points after rotation are A'(1,1), B'(-2,-1) and C(-4,0).
What is the focus of the parabola? y=−1/4x^2 −2x − 2
Answer:
Step-by-step explanation:
This is a doozy. You have to know A LOT about parabolas to get to this answer. First and foremost, we will have to complete the square on the x terms and get everything else on the other side of the equals sign with the intention of putting this into standard form which looks like this:
[tex]-4p(y-k)=(x-h)^2[/tex]
The negative is because the parabola is upside down. We begin breaking it down by multiplying everything by -4 to get:
[tex]-4y=x^2+8x+8[/tex] and subtract that 8 from both sides to get:
[tex]-4y-8=x^2+8x[/tex]. Now we'll complete the square on the x terms by taking half the linear term, squaring it, and then adding it to both sides. Our linear term (the number with the x stuck to it) is 8. Half of 8 is 4 ad 4 squared is 16. So we add 16 to both sides to get:
[tex]-4y-8+16=(x^2+8x+16)[/tex]
The right side will simplify into a perfect square binomial and the left side we will just combine like terms to get:
[tex]-4y+8=(x+4)^2[/tex]
We're getting close. Now we need to just factor out the -4 on the left to get:
[tex]-4(y-2)=(x+4)^2[/tex]
If the standard form is -4p blah blah blah, then p has to be 1. That means that the focus is 1 unit below the vertex. The vertex is (-4, 2). p is the distance between the vertex and the focus. The focus is always on the axis of symmetry. We know that the parabola opens upside down because of the negative sign, and the parabola always wraps itself around the focus. That's why the focus is p units below the vertex. That means that the focus is located at (-4, 1).
Told you it was difficult. I noticed no one helped you with this one and it's been up here for 5 days...
ILL GIVE BRAINLIEST IF YOU CAN GUESS MY AGE
Answer:
sixteen i guess?
Step-by-step explanation:
abcdefghijklmnop
Watch help video
If using the method of completing the square to solve the quadratic equation
X2 – 9x + 38 = 0, which number would have to be added to "complete the
square"?
Answer:
Step 1 Divide all terms by a (the coefficient of x2).
Step 2 Move the number term (c/a) to the right side of the equation.
Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
hope this help
but this is little info dont worry i will answer your question just in a minute
Step-by-step explanation:
Felicia has a stack of 10 cards. Each card is labeled with a number in the range 1 through 10 and no two cards have the same number. She picks three cards at random from the stack and adds the numbers on the three cards. What is the expected value of the sum
Answer:
The expected value of the sum of three numbers chosen out of 10 numbers will be 16.5.
Step-by-step explanation:
Felicia has a stack of 10 cards with number 1,2,3,4,5,6,7,8,9,10
Selecting 3 cards out of 10
10C3 = 120
Now she picks three cards to look at their numbers and sum it up
The possible three numbers are
(1 2 3), (1 3 2), (2 1 3) ,(2 3 1), (3 1 2), (3 2 1) ,(1 2 4), (1 4 2), (2 1 4), (2 4 1),
(4 1 2)│(4 2 1), (1 2 5), (1 5 2)│(2 1 5), (2 5 1) ,(5 1 2), (5 2 1), (1 2 6), (1 6 2), (2 1 6), (2 6 1), (6 1 2) ,(6 2 1) ,(1 2 7), (1 7 2) ,(2 1 7), (2 7 1), (7 1 2), (7 2 1), (1 2 8), (1 8 2), (2 1 8) ,(2 8 1), (8 1 2) ,(8 2 1), (1 2 9), (1 9 2), (2 1 9), (2 9 1), (9 1 2), (9 2 1),
(1 2... …, (6 10 8), (8 6 10), (8 10 6), (10 6 8), (10 8 6), (6 9 10), (6 10 9), (9 6 10),
(9 10 6), (10 6 9), (10 9 6), (7 8 9), (7 9 8), (8 7 9), (8 9 7), (9 7 8), (9 8 7), (7 8 10),
(7 10 8), (8 7 10), (8 10 7), (10 7 8), (10 8 7), (7 9 10), (7 10 9), (9 7 10), (9 10 7),
(10 7 9), (10 9 7) , (8 9 10), (8 10 9), (9 8 10), (9 10 8), (10 8 9), (10 9 8)
Now we sum it all up so minimum sum can be 1+2+3 = 6 andthe maximum can be 8+9+10 = 27
Let S denote the sum of the three numbers that are chosen and P(S=k) denotes its probability
P(S=6)=1/120
P(S=7)=1/120
P(S=8)=1/60
P(S=9)=1/40
P(S=10)=1/30
P(S=11)=1/24
P(S=12)=7/120
P(S=13)=1/15
P(S=14)=3/40
P(S=15)=1/12
P(S=16)=1/12
P(S=17)=1/12
P(S=18)=1/12
P(S=19)=3/40
P(S=20)=1/15
P(S=21)=7/120
P(S=22)=1/24
P(S=23)=1/30
P(S=24)=1/40
P(S=25)=1/60
P(S=26)=1/120
P(S=27)=1/120
Now adding all the sum in order to get the expected value
∑(K=6 to 27) k*P(S=k) = 33/2 = 16.5
Therefore the expected value of the sum is 16.5.
A rectangular photograph is reduced to 75% of its original size. The photo was originally 12 inches by 16 inches. What is the perimeter, in inches, of the reduced picture?
Solve for EG. A) 18 B) 12 9 D) 6
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
BRAINLIEST PLEASE
How many blue circles are equivalent to the orange square? Explain how you know.
Answer:
5 blue circles are equivalent to the orange square
Step-by-step explanation:
If you take away 2 blue circles from each side so that the orange square is by it's self, and the equation stays balanced, you will be left with 5 blue circles on the side without the orange square.
Answer:
5
Step-by-step explanation:
There are a total of 7 blue circles on the right side and 2 on the left.
You also know that both sides are equivalent.
You can assume that the all the blue circles have the same weight
If you subtract the only blue circles from the left from the 7 blue circles on the right you get
1 orange square on the left and 5 blue circles on the right.
I really need help!
Write the equation of the line with the given slope which passes through the given point.Please show work.
m = 3 (2, -3)
Can someone please explain to me how to tell if a number it's prime or not
Answer:
A prime number is a number that can only be divided by 1 and itself.
Jkgdgdkhhgkdksytsktsykkusutskfkxh
Answer:
39% , 0.39 , 39/100
Step-by-step explanation:
I thought your randomness of letters was your question lol. Hope this helps though!
This is Amy's box of candies.
She has already eaten 6 of them.
What fraction of the candies has Amy eaten?
Answer:
[tex] \frac{6}{9} [/tex]
or
[tex] \frac{2}{3} [/tex]
Step-by-step explanation:
There are nine in total and she has eaten 6, so the fraction would be 6/9.
If you need to simplify it it would be 2/3.
What is the unit rate of a line that goes through the points (3,1)?
Answer:
3.
Step-by-step explanation:
3 divided by 1 equals 3.
Please mark me brainliest I need it!!!
Find the value of each expression in simplest form
1 2/3 + 2 3/4
Answer:
The answer is 4 5/12
Step-by-step explanation:
5/3 + 11/4
=5x4 - 3x4 + 11x3 - 4x3
=20/12 + 33/12
=53/12
Simplified
= 4 5/12
Hope this helps. :D
what is 10:40 plus 7:15 in time?
Answer:
5:55
Step-by-step explanation:
just add it up and you'll get the answer which is 5:55
Answer:5:55
Step-by-step explanation: lol
PLZ HELP TROLL ANSWERS GET REPORTED MAKE IT UNDERSTANDABLE Match each expression to its value.
Answer:
7-5 => 2-7+5 => -2-7-5 => -127-(-5) => 12Step-by-step explanation:
Lets solve the expressions one by one
1. 7-5
we can see that it is simple subtraction. A smaller number is being subtracted from a large number.
So the answer is 2
2. -7+5
There are two numbers with different signs. When there is a number with plus and a number with minus both quantities are subtracted but the larger quantity determines the sign of the answer.
In this case, 7 is larger and has negative sign, the answer will be -2
3. -7-5
When there are two numbers with minus sign they are added but the answer has the minus sign with it.
So the answer will be: -12
4. 7-(-5)
When minus is multiplied with minus it converts to positive
So
[tex]= 7-(-5) = 7+5 = 12[/tex]
Hence,
7-5 => 2-7+5 => -2-7-5 => -127-(-5) => 12PLZ SOLVE I WILL GIVE BRAINLESET
Answer:
LB=12ft
Step-by-step explanation:
Help. I don’t understand this.
Answer:
f(6)=2
f(2)=4
f(0)=7
f(5)=1.5
f(x)=1 x=4
Step-by-step explanation:
f(x)=y.The numbers represent the x values. As you are plugging in a number for x. Just look at the graph on the x-axis to get the y-values.
Can someone please help me with this question this is due today
Answer:
Jamie is 56 years old and savannah is 24 years old
Step-by-step explanation:
60 split in half 30, then savannah is 16 years younger than jamie so u subtract 16 from 30 and u get 14, then u add the 16 to the other 30 and get 46. Then you add 10 to each of those numbers.
Could someone help me on this math question !
rename 1/4 and 1/8 using the least common denominator ( help pls )
Answer:
2/8 and 1/8
Step-by-step explanation:
PLEASEEEE HELP ASAPP!! 25 POINTS!!
Consider the given functions
which statement about the functions is true?
A) function 2 and 3 have the same y-intercept and the same rate of change
B) functions 2 and 3 are both increasing but function 3 is increasing at a faster rate
C)functions 1 and 3 are both decreasing but function 1 is decreasing at a slower rate
D) function 1 and 3 have the same rate of change but function 1 has a greater y-intercept
Answer:
the answer is D because all the others are false, but 1 &3 both have a rate of change of 2, but 1's y-intercept is 8 and 3's y-intercept is 5
Answer:
yep he is right
Step-by-step explanation:
ples halp ples tysm....
A manufacturer produces soda cans and a quality control worker randomly selects two cans from the assembly line for testing. Past statistics show that 12% of the cans are defective. What is the probability that the two selected cans are defective if the quality control worker selects the two cans from a batch of 50 cans?
Answer:
6 cans will be defective
Step-by-step explanation:
do 50x0.12
2x+3y
help me please
Answer:
2 x + 3 y
Step-by-step explanation:
Solve the equation. Check your solution. (1/2 is a fraction for one half
s-1/2=1/2
Answer:
[tex]s = 1[/tex]
Step-by-step explanation:
Given
[tex]s - \frac{1}{2} = \frac{1}{2}[/tex]
Required
Solve for s
[tex]s - \frac{1}{2} = \frac{1}{2}[/tex]
Add [tex]\frac{1}{2}[/tex] to both sides
[tex]s - \frac{1}{2} + \frac{1}{2} = \frac{1}{2} + \frac{1}{2}[/tex]
Take LCM
[tex]s + \frac{-1+1}{2} = \frac{1+1}{2}[/tex]
[tex]s + \frac{0}{2} = \frac{2}{2}[/tex]
[tex]s +0 = 1[/tex]
[tex]s = 1[/tex]
Fill in the missing reason in proof.
Answer:
SASStep-by-step explanation:
As per steps given the congruent pairs are:
AB and ACBD and CDAngle B and angle CSo two sides and included angle - it represents side-angle-side or SAS congruency theorem
A classroom is painting the classrooms. Each classroom takes 1/3 of a gallon of
paint. If the school buys 6 gallons of paint, how many classrooms can they paint?
Plz help
Answer: try 18
Step-by-step explanation:
Marcus graphed a point on the number line. A number line going from 0 to 1 with 8 equal spaces between 0 and 1. A point is marked on the line half-way between 0 and 1. What fractions did he graph? Check all that apply.
Answer:
A,C,D
Step-by-step explanation:
I got it right :D
what is 5,300 rounded to the nearest thousand
Answer:
5,000
Step-by-step explanation:
Does this graph represent a function? Why or why not?
