MATHEMATICS HIGH SCHOOL

Figure ABCD is a parallelogram with point C (−4, 1). Figure ABCD is rotated 90° clockwise to form figure A′B′C′D′. What coordinate would be the output for point C'?

Answers

Answer 1
Answer: There are certain rules to follow when rotating a point 90 deg clockwise. Since it is given that ABCD is a parallelogram and the coordinates of point C are given, we just have to follow this simple relation:

R(90 deg) : (X,Y) ---> (-Y,X)

Using the given coordinates:
R(90 deg) : (-4,1) ---> (-1,-4)

Therefore, Point C' will be located at (-1,-4)
Answer 2
Answer:

Answer:

(1,4)

Step-by-step explanation:

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Find the vertex, focus, directrix, and focal width of the parabola: -1/40x^2=y

Answers

for
(x-h)^2=4p(y-k)
vertex is (h,k)
distance from vertex to directix=p=distance from vertex to focus
|4p|=focal width

remember, focus is on the side of the parabola where it opens and directix is at the back
when p is negative, it opens down
when p is positive, it opens up

look at equation
-1/40(x-0)^2=(y-0)
times -40 to both sides
(x-0)^2=-40(y-0)
(x-0)^2=4(-10)(y-0)
vertex=(0,0)
p=-10,it's negative so it opens down

focus is 10 units below vertex (y direction)
focus=(0,-10)

diretix is 10 above
directix is y=10

focal width=|4p|=|4(-10)|=|-40|=40




vertex=(0,0)
focus=(0,-10)
directix is y=10
focal width=40 units

What is the degree of each monomial? -9
A. -8
B. 0
C. -10
D. 1

Answers

ok so the degree is the highest exponent of the placeholder

-9=-9 times 1
since there is none, degree is 0
or
x^0=1 so
-9x^0=-9
0 degree

answer is B

a 2- pound box of spaghetti costs $2.50. Philip says the unit costs is 2 over 2.50 = 0.80. Explain his error

Answers

he accidentally placed the numbers in the wrong order. he needs to do 2.50/2 which =1.25. Hope that helped.

What is the sum of 2/5 and 2/4

Answers

Okay you want to find the common factor right? So then 2/5 fifth and 2/4 fourth have only 20 in common. So 2/5 times 4 is? 8/20 do not simplify so then 2/4 times five is 10/20 so then 8+10=18/20 simplify and you get 9/10.

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The dog's bowl was empty.
The singers's songs were finished.
The singers' songs were finished.

Answers

Answer:

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The dog's bowl was empty. This is the correct form where dog's is written properly.

The singers's songs were finished. This is wrong as singers's is not the way to write.

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The singer's songs were finished.

У= -2
4х – Зу = 18
Solve System Of Equations Using Substitutions

Answers

Answer:

x = 3

Step-by-step explanation:

4x - 3(-2) = 18

4x + 6 = 18

4x = 12

4x/4 = 12/4

x = 3

We're solving for x right?
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