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3 years ago

How do u write an equation in standard form containing the points (0,2) and (-4,1)

Mathematics

1 answer:

-Dominant- [34]3 years ago

8 0

Answer:

y=1/4+2

Step-by-step explanation:

If we're using y=mx+b, then m is the slope and b is the y intercept. The slope of the two points provided, is 1/4. The y intercept, is two.

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If the range of the coordinate transformation (, ) = (−2,−3 +1) is (4, −2), (2, −5), (−6, 4), what is the domain?

Alex17521 [72]

Consider the below figure attached with this question.

Given:

The transformation is:

$f(x,y)=(-2x,-3y+1)$

The range is (4,-2), (2, −5), (−6, 4).

To find:

The domain of the transformation.

Solution:

We have,

$f(x,y)=(-2x,-3y+1)$

For the point (4,-2),

$(-2x,-3y+1)=(4,-2)$

On comparing both sides, we get

$-2x=4$

$x=\dfrac{4}{-2}$

$x=-2$

And,

$-3y+1=-2$

$-3y=-2-1$

$-3y=-3$

$y=\dfrac{-3}{-3}$

$y=1$

So, the domain of (4,-2) is (-2,1).

Similarly,

For the point (2,-5),

$(-2x,-3y+1)=(2,-5)$

On comparing both sides, we get $x=-1,y=2$ . So, the domain of (2,-5) is (-1,2).

For the point (-6,4),

$(-2x,-3y+1)=(-6,4)$

On comparing both sides, we get $x=3,y=-1$ . So, the domain of (-6,4) is (3,-1).

So, the domain of the given transformation is (-2, 1), (-1, 2), (3, -1).

Therefore, the correct option is A.

4 0

3 years ago

Simplify the expression

NeTakaya

First, solve the parenthesis

Remember to follow PEMDAS, and the left-> right rule

12/3 = 4

4 x 2 = 8

8 + 3 = 11

11 - 7 = 4

Square the remaining number

4² = 4 x 4 = 16

16 is your answer

hope this helps

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3 years ago

There are 15 chickens at a farm that are white. This number represents 25% of the total number of chickens at a farm. How many t

Lana71 [14]

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3 years ago

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Someone please help me on this.

Naddik [55]

Answer:

$36n^2+12n+1$

Step-by-step explanation:

Foil the equation!

1. You see that is to the second power so it means this $(6n+1)*(6n+1)$

2. Then you use the Foil method. First, Outside, Inside, and Last.

3. Combined like terms

4. Answer!

A tip you can use to avoid Foil is this mental math trick: (Keep in mind this only works if the polynomial is being squared.)

1. Multiply the first number by itself = $6n *6n = 36n^2$

2. Add the first number by itself = $6n+6n = 12n$

3. Multiply the last number by itself = $1*1 =1$

4. Combined to form your answer = $36n^2+12n+1$

NOTE: This is the same thing as a foil but it uses mental math so it takes less time!

8 0

2 years ago

Andre owned 1/4 acre lot. Wants to construct a 120’ x 80’ tennis court on the lot. How many square feet will remain uncovered af

Serhud [2]

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4 years ago

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