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Olin [163]
3 years ago
8

AABC is reflected across the x-axis and then translated 4 units up to create AABC! What are the coordinates of the vertices of A

A'B'C' ?
OA A(-3. 3). B(-1, 1), C(-2. 3)
OB. A'(3. -3). B(1,-1). C'(2-3)
OC. A'(3.-5), B(1, -7). C'(3, -5)
DW AC-3, 3). B'(-1, 1), C (-2, -3)
Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Answer:

d

Step-by-step explanation:

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Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
Anika [276]

Answer:

C

Step-by-step explanation:

The line passes through the point (2, -1/2) and has a slope of 3.

We can use the point-slope form, given by:

y-y_1=m(x-x_1)

Where (x₁, y₁) is a point, and m is the slope.

Let (2, -1/2) be (x₁, y₁). We will substitute 3 for m. Therefore:

\displaystyle y-\Big(-\frac{1}{2}\Big)=3(x-(2))

Simplify:

\displaystyle y+\frac{1}{2}=3(x-2)

Therefore, our answer is C.

5 0
3 years ago
Find all x-intercepts of the function. Express your answer as a list of x-values. f ( x ) = − 45 x 3 + 60 x 2 − 20 x
mr Goodwill [35]

Answer:

x = 0, \frac{2}{3}

Step-by-step explanation:

Factorise f(x) and equate to zero for x- intercepts

f(x) = - 5x(9x² - 12x + 4) = 0 ( common factor of - 5x )

To factor the quadratic consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term, that is

product = 9 × 4 = 36 , sum = - 12

The factors are - 6 and - 6

Use these factors to split the middle term

9x² - 6x - 6x + 4 = 0 ( factor the first/second and third/fourth terms )

3x(3x - 2) - 2(3x - 2)  ( factor out (3x - 2) )

(3x - 2)(3x - 2), hence

f(x) = - 5x(3x - 2)(3x - 2) = 0

equate each factor to zero and solve for x

- 5x = 0 ⇒ x = 0

(3x - 2)² = 0 ⇒ x = \frac{2}{3} of multiplicity 2, indicating turning point

x - intercepts are x = 0, \frac{2}{3}



   

6 0
3 years ago
What would the Outputs be when the Inputs is 1,7,-3,and -5 if the function is Y=6
kondaur [170]

If the function is y=6

It's a constant

For any value of input the output will be equal to 6

therefore

the Outputs when the Inputs is 1,7,-3,and -5 is 6

4 0
1 year ago
Find the horizontal asymptote of the graph of y= -2x^6+5x+8/8x^6+6x+5
tatyana61 [14]

Answer:

a) y = -¼

Step-by-step explanation:

(-2x^6+5x+8)/(8x^6+6x+5)

Just divide the leading coefficients

-2/8 = -¼

Horizontal asymptote:

y = -¼

8 0
3 years ago
Read 2 more answers
Mark and Sofia walk together down a long, straight road. They walk without stopping for 4 miles. At this point Sofia says their
victus00 [196]

Answer:

b

Step-by-step explanation:

Displacement and distance have different meanings. Displacement is a vector quantity and is the objects overall change in position. Distance is scalar quantity which describes how much ground an object covers during motion.

If they have covered 4 miles from a origin and we don't know the origin but we know that they start there and continue for 4 miles. It will be displacement if they started at a distance and walked a certain distance and the difference from start to finish is 4 miles. Therefore, it must be distance because we don't know the initial position and only that they walked 4 miles.

Mark is right if their starting point is a origin of a coordinate system

5 0
3 years ago
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