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Artyom0805 [142]
2 years ago
14

Factorizationx² - 4y²-c²-4cy ​

Mathematics
1 answer:
Kamila [148]2 years ago
4 0

Answer:

( x + 2y ) ( x - 2y )

Step-by-step explanation:

x² + [ -2xy + 2xy ] - 4y²

= x² - 4y²

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These are the answer and the page it will help you solving it.
goldenfox [79]
You x all the sides together and add the 2 numbers you get 
6 0
3 years ago
Write functions for each of the following transformations using function notation. Choose a different letter to represent each f
joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : R_{90} (x,y)=(-y,x)

5. Rotation of 180° : R_{180} (x,y)=(-x,-y).

6. Rotation of 270° : R_{180} (x,y)=(y,-x).

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is R_{90} (x,y)=(-y,x).

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is R_{180} (x,y)=(-x,-y).

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is R_{180} (x,y)=(y,-x).

5 0
3 years ago
A line that passes through the points (−5, 7) (10, 1). Using the mx+b format
lianna [129]

Answer:

y=2x-19

Step-by-step explanation:

I'm guessing you mean slope intercept form y=mx+b

If so, first you would have to find the slope of the line

To do that, use the formula y2-y1/x2-x1

Remember you can pick any coordinate pair for this

I will pick 1=y2 -5=y1 10=x2 and 7=x1

When I put that in the equation I get 1-(-5)/10-7

Overall I get 6/3, or 2

Now to find the y intercept, you plug in the slope and one of the coordinates(any is fine)

I will pick (10,1)

1=y and 10=x and 2=m

1=2(10)+b

this simplifies to 1=20+b

now subtract 20 from both sides and get -19 = b

Now you have your equation y=2x-19

6 0
3 years ago
Read 2 more answers
What is the value of the expression StartAbsoluteValue negative 7 EndAbsoluteValue + StartAbsoluteValue negative 4 EndAbsoluteVa
dolphi86 [110]

Answer:

15

Step-by-step explanation: Because the absoulute value of 8 is 8 then the absoultue value of 7 is 7. Then add them together it equals 15 :)

7 0
2 years ago
Read 2 more answers
Factor 70q+60. Write your answer as a product with a whole number greater than 1.
faltersainse [42]

Answer:

10(7q + 6)

Step-by-step explanation:

  1. Find the GCF of 70 and 60: 10
  2. Divide each number by 10 (steps shown below)
  3. 70q ÷ 10 = 7q
  4. 60 ÷ 10 = 6
  5. Re-write the expression with 10: 10(7q + 6)

I hope this helps!

7 0
3 years ago
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