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3 years ago

Which of the following points is an equal distance (equidistant) from a(2, −2) and b(−4, 6)?

1 answer:

6 0

The point equidistant from a(2, -2) and b(-4, 6) is the midpoint

For (x₁, y₁) and (x₂, y₂) the midpoint is given by:

( (x₁ + x₂)/2 , (y₁ + y₂)/2 )

Midpoint = ( (2 + -4)/2 , (-2 + 6)/2 )

= ( (2 - 4)/2 , (6 - 2)/2) ) = ( -2/2, 4/2) = (-1, 2)

So the point equidistant from the two points is (-1, 2).

You might be interested in

Re-write the equation without the h component.

levacccp [35]

Answer:

$f(x) = 2[\frac{3^x}{9}] + 2$

$f(x) = 8(4)^x$

Step-by-step explanation:

Given

$f(x) = 2(3)^{x-2} + 2$

$f(x) = \frac{1}{2}(4)^{x+2}$

Required

Remove the h component

In a function, the h component is highlighted as:

$f(x) = a^{x+h}$

So, we have:

$f(x) = 2(3)^{x-2} + 2$

Split the exponents using the following law of indices:

$a^m/a^n = a^{m-n}$

$f(x) = 2*\frac{3^x}{3^2} + 2$

$f(x) = 2*\frac{3^x}{9} + 2$

$f(x) = 2[\frac{3^x}{9}] + 2$

<em>The h component has been removed</em>

$f(x) = \frac{1}{2}(4)^{x+2}$

Split the exponent using the following law of indices

$a^{m+n} =a^m * a^n$

So, we have:

$f(x) = \frac{1}{2}(4)^x * 4^2$

Express 4^2 as 16

$f(x) = \frac{1}{2}(4)^x * 16$

Divide 16 by 2

$f(x) = 8(4)^x$

3 0

3 years ago

How do you solve this? Matt had some candy to give to his four children. He first took two pieces for himself and then evenly di

Rasek [7]

You work it backwards.

-- If there were 4 children and each child got 4 pieces,
then the children got (4 x 4) = 16 pieces altogether.

-- That's what was left after he took 2 pieces for himself.
So he started with (16 + 2) = <em>18 pieces</em>.

7 0

3 years ago

Read 2 more answers

From a point 80 feet from the base of a

VMariaS [17]

Answer:10151 will be your answer

Step-by-step explanation:

6 0

3 years ago

What is the value of n? Enter your answer in the box. n = cm Circle with two intersecting chords forming an x shape in the circl

Contact [7]

Answer: The length of the bottom left side is 14.

To find the length of this side, we need to know the relationship between the different sections when chords cross each other.

The relationship is that if you multiply the 2 parts of each chord together, it will equal the product of the two sides in the other chord.

Our equation can be written as:

7(8) = 4(x)
56 = 4x
14 = x

3 0

3 years ago

Read 2 more answers

On October 15, 2019, Jon purchased and placed in service a used car. The purchase price was $38,000. This was the only business

san4es73 [151]

Answer:

cost recovery deduction = $1520

Step-by-step explanation:

given data

purchase price = $38,000

used the car business = 80%

used the car personal = 20%

solution

cost recovery limit are

cost recovery limit = asset value × statutory % × mid quater convention ..........1

we know car which have 5 year MACRS convention and as per MACRS depreciated 20 % in 1st year

and here this car is use so no 1st year depreciation

so we use MACRS statutory % method

cost recovery limit = $38000 × 5%

cost recovery limit = $1900

we know maximum limit is $3160

so cost of recovery is $1900

cost recovery deduction is

cost recovery deduction = cost recovery limit - personal use

cost recovery deduction = $1900 - ( $1900 × 20% )

cost recovery deduction = $1520

6 0

3 years ago