What is the equation of a circle with (2,-5) and radius 4

The point (2, –4) is reflected across the line y = –1. What are the coordinates of the image?

schepotkina [342]

ANSWER

The coordinates of the image are (2,2)

EXPLANATION

The mapping for a reflection across the line y=k is :

$(x,y)\to (x,2k-y)$

We want to find the image of the point (2,-4) after a reflection in the line y=-1.

In this case k=-1.

$(2, - 4)\to (2,2( - 1)- - 4)$

This simplifies to,

$(2, - 4)\to (2, - 2 + 4)$

$(2, - 4)\to (2, 2)$

Hence the image is (2,2)

4 0

3 years ago

Given that lim x → 2 f ( x ) = 1 lim x → 2 g ( x ) = − 4 lim x → 2 h ( x ) = 0 limx→2f(x)=1 limx→2g(x)=-4 limx→2h(x)=0, find the

VashaNatasha [74]

Answer:

According what I can read, I have the following statements:

$\lim_{x \to 2} f(x) = 1$

$\lim_{x \to 2} g(x) = -4$

$\lim_{x \to 2} h(x) = 0$

a) Applying properties of limits

$\lim_{x \to 2} f(x) + 5g(x) = \lim_{x \to 2} f(x) + 5 \lim_{x \to 2} g(x) = 1 + 5*-4 = -19$

b) Applying properties of limits

$\lim_{x \to 2} g(x)^{3} = {(\lim_{x \to 2} g(x))}^{3} = (-4)^{3} = -64$

c) Applying properties of limits

$\lim_{x \to 2} \sqrt{f(x)} = \sqrt{\lim_{x \to 2} f(x)} = \sqrt{1} = 1$

d) Applying properties of limits

$\lim_{x \to 2} 4*g(x)*f(x) = 4*\lim_{x \to 2} g(x)*\lim_{x \to 2} f(x) = 4*-4*1 =-16$

e) Applying properties of limits

$\lim_{x \to 2} g(x)*h(x) = \lim_{x \to 2} g(x)*\lim_{x \to 2} h(x) = -4*0 =0$

f) Applying properties of limits

$\lim_{x \to 2} g(x)*h(x)*f(x) = \lim_{x \to 2} g(x)*\lim_{x \to 2} h(x)*\lim_{x \to 2} f(x = -4*0*1 =0$

3 0

3 years ago

0 = 4x + 4 linear equation

FinnZ [79.3K]

Answer:

x = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

0 = 4x + 4

Step 2: Solve for x

Subtract 4 on both sides: -4 = 4x
Divide 4 on both sides: -1 = x
Rewrite: x = -1

7 0

2 years ago

2.54rounded to nearest tenth

Svetradugi [14.3K]

2.5 Is the answer. It is rounded to the nearest tenth.

6 0

3 years ago

Read 2 more answers

the local farm sell a 4 pound basket of apples for 5.60 each apple weighs 4 ounces. what is the price per apples

valina [46]

Because there are 16 ounces in a pound, we can multiply 16 by 4 to get 64, there are 64 ounces of apples which is also the same as 4 pounds of apples. If 64 ounces of apples equals $5.60, and each apple is 4 ounces, we have to also divide 64 by 4 to find the number of apples. 64 divided by 4 is 16, so 16 apples for $5.60. To get the price PER apple, or for one apple, we have divide $5.60 by 16, which will give us $0.35, or $.35 per apple, which is actually a good price.

4 0

3 years ago