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3 years ago

What is the equation of the circle with center (5, -4) and radius 4?

Mathematics

1 answer:

Oksanka [162]3 years ago

7 0

The answer is C. If you plug it into the correct equation. You should get this

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Use synthetic division to find the remainder. When 3x^ 2 - 2x - 4 is divided by x - 3.

OlgaM077 [116]

ANSWER

a.)17

EXPLANATION

The given function is

$3 {x}^{2} - 2x - 4$

We want to find the remainnder when this function is divided by x-3 using synthetic division.

We write the coefficients of the given function and carry out the synthetic division as shown in the attachment.

The remainnder is 17.

The correct answer is A.

7 0

3 years ago

If the table shown below represents a function, then which is the possible value for f?

cluponka [151]

Answer:

C 2

Step-by-step explanation:

This is a parabolic function

Notice how we go negative and then positive

y = ax^2 +bx+c

Let x = 0

-5 = a(0) + b(0) +c

c = -5

y = ax^2 + bx -5

Let x = 3

4 = a(3)^2 +b(3) -5

Let x=-3

4 = a(3)^2 -b(3) -5

Add the two equations

4 = a(3)^2 +b(3) -5

4 = a(3)^2 -b(3) -5

----------------------------

8 = 2a (3)^2 - 10

18 = 2 a(9)

18 = 18a

a =1

Solving for b

4 = 1(3)^2 -b(3) -5

4 = 9 -3b -5

4 = 4 -3b

0 = -3b

0 =b

The equation is

y = (x)^2 -5

Letting y = -1

-1 =x^2 -5

Adding 5 to each side

4 = x^2

Taking the square root of each side

±2 = x

x= ±2

Given the choices

5 0

3 years ago

If triangle ABC defined by the coordinates A(1,1), B(9,1), C(1,9) is dilated by a scale factor of 1/2

alukav5142 [94]

Answer:

The transformed points of the triangle ABC are $A' (x,y) = \left( \frac{1}{2}, \frac{1}{2}\right)$ , $B'(x,y) = \left(\frac{9}{2}, \frac{1}{2} \right)$ , $C'(x,y) = \left(\frac{1}{2}, \frac{9}{2}\right)$