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3 years ago

Which graph is correct?

Mathematics

2 answers:

Rom4ik [11]3 years ago

7 0

Answer:

Step-by-step explanation:

The equation for a circle is

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x+2)^2 + (y)^2 = 4

Rewritng

(x- -2)^2 + (y-0)^2 = 2^2

The center is at ( -2,0) and the radius is 2

C and D are the only circles with a center at (-2,0)

B,D are the only circles with radius 2

Goryan [66]3 years ago

3 0

Let's first take a look at our x here. --- (x + 2)^2

Because we are adding a two to our x, this means that we are shifting our graph 2 to the left. Remember that with functions, it's always the opposite!

There is nothing attached to the y, so we are not moving our function up or down.

And then the radius of our circle. Remember that the equation requires us to square this value (... = r^2), so we need to take the square root of 4. The square root of 4 is 2.

With this information, let's now look at our options.

Option A - INCORRECT, the radius is too large

Option B - INCORRECT, this was shifted 2 units to the right

Option C - INCORRECT, the radius is too large

Option D - CORRECT, the radius is 2 and the circle was shifted 2 units to the left

Hope this helps!! :)

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Plz solve ASAP solve the equation -3(y-5)=24 y=?

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Write functions for each of the following transformations using function notation. Choose a different letter to represent each f

kupik [55]

Answer:

$(a)\ T_{a,b} =(x +a,y+b)$

$(b)\ F_{y\ axis} = (-x,y)$

$(c)\ F_{x\ axis} = (x,-y)$

$(d)\ R_{o,90^o} = (-y,x)$

$(e)\ R_{o,180^o} = (-x,-y)$

$(f)\ R_{o,270^o} = (y,-x)$

Step-by-step explanation:

Solving (a): Translate a units right, b units up

When a function is translated a units right, the number of units will be added to the x coordinate

When a function is translated b units up, the number of units will be added to the y coordinate.

So, we have:

$T_{a,b} =(x +a,y+b)$

Solving (b): Reflect across y-axis

When a function is translated across the y-axis, the x coordinate gets negated.

So, we have:

$F_{y\ axis} = (-x,y)$

Solving (c): Reflect across x-axis

When a function is translated across the x-axis, the y coordinate gets negated.

So, we have:

$F_{x\ axis} = (x,-y)$

Solving (d): 90 degrees rotation counterclockwise

When a function is rotated 90 degrees counterclockwise, the y-coordinates gets negated and then swapped with the x-coordinate.

So, we have:

$R_{o,90^o} = (-y,x)$

Solving (e): 180 degrees rotation counterclockwise

When a function is rotated 180 degrees counterclockwise, the coordinates are negated.

So, we have:

$R_{o,180^o} = (-x,-y)$

Solving (f): 270 degrees rotation counterclockwise

When a function is rotated 270 degrees counterclockwise, the x-coordinates gets negated and then swapped with the y-coordinate.

So, we have:

$R_{o,270^o} = (y,-x)$

6 0

3 years ago

Plsss hellpppp 14 and 15 plsssssss

Lesechka [4]

Answer:

14). 2nd quadrant

15). 1st quadrant

Step-by-step explanation:

14).Coordinates of a point → J(-8, -12)

Coordinates of the new point J' after reflection of x-axis will follow the rule,

(x, y) → (x, -y)

Coordinates of J' → (-8, 12)

Therefore, point J' will lie in 2nd quadrant.

15). Coordinates of a point → W(-6, 7)

Rule for the rotation by 90°clockwise about the origin,

(x, y) → (y, -x)

Coordinates of point W → (-6, 7)

Following this rule,

W(-6, 7) → W'(7, 6)

Therefore, point W' will lie in the first quadrant.

7 0

3 years ago

I got zero, but that’s wrong.

meriva

Answer:

Expected value is 4,000

Step-by-step explanation:

To find expected value ⇒ multiply the value by it's probability

40% × ( -25,000 ) = - 10,000

Breaking means neither add nor subtract a given amount

20% × 0 = 0

35% × 40,000 = 14,000

∴ Expected value = -10,000 + 14,000 = 4,000

LOSS: -10,000

BREAK EVEN: 0

WIN: 14,000

Expected value is 4,000

hope this helps....

3 0

3 years ago

A rectangle has a length of 9.00 inches and a width of 4.25 inches. What is the area in square inches? Round to the correct sign

mash [69]

3 sig figs
multiply
9.00*4.25=38.25
round to 3
38.3 square inches

5 0

3 years ago