What's the equation of the line that's a perpendicular bisector of the segment connecting C (6, –12) and D (10, –8)? ANSWERS: A) y = –x – 2 B) y = x + 2 C) y = –1∕2x – 2 D) y = 2x – 6

Answer:

I believe that the answer would be $4,100

Step-by-step explanation:

5,000x0.06x3=900

5,000-900=4,100

Answer:

Simplifying

lx2 + mx + n = 0

Solving

lx2 + mx + n = 0

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-1mx' to each side of the equation.

lx2 + mx + -1mx + n = 0 + -1mx

Combine like terms: mx + -1mx = 0

lx2 + 0 + n = 0 + -1mx

lx2 + n = 0 + -1mx

Remove the zero:

lx2 + n = -1mx

Add '-1n' to each side of the equation.

lx2 + n + -1n = -1mx + -1n

Combine like terms: n + -1n = 0

lx2 + 0 = -1mx + -1n

lx2 = -1mx + -1n

Divide each side by 'x2'.

l = -1mx-1 + -1nx-2

Simplifying

l = -1mx-1 + -1nx-2

Step-by-step explanation:

Hope this helped you!

Answer:

Step-by-step explanation:

Use the compound amount formula:  A = P(1 + r)^t, where r is the annual interest rate as a decimal fraction, P is the initial amount of money, and t is the time in years.  Then:

A = ($240,000)(1 + 0.04)^12      (that's 12 years past 2008)

   = ($240,000)(1.04)^12 = $384,247.73

Growth rate:  4%, or 0.04

Independent variable:  time (t)

Dependent variable:  appreciated value of the house, A

Domain:  [0, 30) (assuming that the house is sold within 30 years)

Range:  [$240,000, infinity)   (the house will never sell for an infinite price)

Answer:

15 inches.

Step-by-step explanation:

Let the length of each side of square be x

perimeter of square is given by 4*side\

Thus, perimeter of square iwh side x = 4x

Given

length of each side of a square increases by 2.5

new side length of square = x +2.5

New perimeter of the square = 4*( x +2.5) = 4x + 10

given that new  perimeter = 70 inches

Thus,

4x + 10 = 70

4x = 70 - 10 = 60

x = 60/4 = 15

Thus, length of each side of original square was 15 inches.

Answer:

1)2y=14-4x

2)y=7-2x

Step-by-step explanation:

Isolate y

then divide by 2

Please mark brainliest.

Answer:

[tex]y=-2x+7[/tex]

Step-by-step explanation:

[tex]4x+2y=14\\\\4x-4x+2y=14-4x \leftarrow\text {Subtract 4x on both sides.}\\\\2y=14-4x\\\\\frac{2y=14-4x}{2}\leftarrow\text {Divide by 2 to isolate y.}[/tex]

[tex]y=7-2x\\\\\boxed{y=-2x+7}\leftarrow\text {Rearrange.}[/tex]

Answer:-3

Step-by-step explanation:

promise its B

The restriction on the domain of f (x) = (x + 5) / (x - 2) will be;

⇒ x ≠ 2

What is Domain?

The set of all inputs of the function is called Domain of set.

Given that;

The function is,

⇒ f (x) = (x + 5) / (x - 2)

Now,

Since, We know that;

In the Rational function A (x) / B (x), the Restrictions of the Domain are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.

So, We get;

The restriction on the domain of f (x) = (x + 5) / (x - 2) is find as;

Make the denominator zero and solve for x as;

x - 2 = 0

x = 2

Thus, The restriction on the domain of f (x) = (x + 5) / (x - 2) is includes all x not equal to 2.

Therefore, The restriction on the domain of f (x) = (x + 5) / (x - 2) will be;

⇒ x ≠ 2

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Answer:

110

Step-by-step explanation:

Answer:

z=42

Step-by-step explanation:

-7=z/-6

The way I learned in school, is the 'butterfly method'. First, you make -7, -7/1 (same number, just different way of writing it). Then put it side by side with z/-6.

-7/1=z/-6 . I know, i know it looks scary here, but write it in the regular division format with -7 above 1 as z is above -6 in the photo, and it looks easier. Then we will 'butterfly' multiply! This just means we multiply diagonally. For example, if -7 is the numerator on the left side, and -6 is the denominator on the right side, they will be multiplied together. -7 multiplied by -6 is 42. Remember the negative cancels out if it is multiplied by another negative!!!

Then we 'butterfly' multiply again, this time with the 1 as the denominator on the left side and the z as the numerator on the right side. 1 multiplied by z is, well, z!

So then we get 42=z.

May be a bit confusing, but if you write it down, I promise it's quite simple! Hope this helps! :)

Answer:

D

Step-by-step explanation:

Put n as 48 and solve.

-11 + (48 - 1)(-3)

- 11 + (47)(-3) = -152

Answer:

D. If my dog does not bark, he will not get sent to his kennel

Explanation:

This is the only answer with the same parallelism used.

Answer:

D!

Step-by-step explanation:

hope this helps

You can expect a monthly payment of $9 on this vehicle if the lease factor is 0.00045 and the price of the vehicle is $20,000.

The lease factor is a percentage that represents the annual interest rate on the loan and is usually expressed as a decimal.

monthly payment = price of vehicle × lease factor / 12

The monthly payment on a vehicle is determined by the lease factor and the price of the vehicle.

To find the monthly payment on a vehicle with a lease factor of 0.00045, you will need to know the price of the vehicle.

Let's say the price of the vehicle is $20,000.

To find the monthly payment, we can use the following formula:

monthly payment = price of vehicle × lease factor / 12

Substituting in the given values, we get:

monthly payment = $20,000 × 0.00045 / 12

= $9

Therefore, if the lease factor is 0.00045 and the car costs $20,000, you can expect a monthly payment of $9.

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Answer:

C) 10.101

Step-by-step explanation:

A terminating decimal is one that is not repeating and ends at some point.

The line over the 3 in A means that it's a repeating decimal.

[tex]\sqrt{10}[/tex] is an irrational number, so it never ends.

The line over the 6 in D means that it's a repeating decimal.

C is the right answer because 10.101 has a definite endpoint :)

Answer:

c/a/a

Step-by-step explanation:

Answer:

B for the first one. A is for the second one. A for the third one.

Step-by-step explanation:

A is for the second one because 4* 10^4=40,000 while 4*10^5= 400,000 and a marathon is 42,000 and 40,000 is closer to 40,000. Therefore, A.

A for the third one because 1*10^0=1 while 1*10^1=10 and a stride is 1.44 and 1 is closer to 1.44 than 10. Therefore, A.

B for the first one because if a stride is 1m and the marathon is 4*10^4 which is 40,000 then. 40,000/1 = 40,000= 4*10^4

I hope this helps!

P.S.- Just an FYI in case you don't know. An* means to multiply and a ^ means to the power.

Answer: [tex](3\frac{1}{2}, -4)[/tex]

Step-by-step explanation:

The solution to the graph of a system of equations is where they intercept. Here, it is at about [tex](3\frac{1}{2}, -4)[/tex].

The solution of the given linear equation is {3(1/2), 4}.

A linear equation is an equation that may contain one or multiple variable with the highest power of the variable is 1.

When two lines are plotted on a graph, if they meet each other at a particular point, then that point will be their solution.

Here, two lines intersects at a point {3(1/2), 4}.

Therefore, the solution of the given graph is {3(1/2), 4}.

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Here given a quadratic polynomial

2x²-8x+8

take 2 as common

2(x²-4x+4)

Here x²-4x+4 can also be written as

(x-2)²= x²-2×2×x +(2)²

(x-3

2)²= x²-4x+4

Hence ,

2(x-2)² is our answer

Option C is the correct option

Answer:1. Angle-Side-Angle (ASA) Postulate

2. corresponding parts of congruent triangles are congruent (CPCTC)

Step-by-step explanation:

Answer:

14.6 = x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 66 = x/16

16 sin 66 = x

14.61672732 =x

To the nearest tenth

14.6 = x

Answer:

x = 14.6

Step-by-step explanation:

Because this is a right triangle, we can use our trigonometry relationships to solve :

We are given, for a right triangle:

Angle = 66°

Opposite = x

hypotenuse = 16

sin 66° = x / 16

x = 16 sin 66°

x = 14.617

x = 14.6 (nearest tenth)

Answer:

(3,2)

Step-by-step explanation:

The solution that satisfies both equations is where the two lines intersects.

The two graphs intersect at x=3 and y =2

Answer:

AB ≈ 2.8 units

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(1, 1) and (x₂, y₂ ) = B(3, 3)

AB = [tex]\sqrt{(3-1)^2+(3-1)^2}[/tex]

     = [tex]\sqrt{2^2+2^2}[/tex]

     = [tex]\sqrt{4+4}[/tex]

     = [tex]\sqrt{8}[/tex] ≈ 2.8 units ( to the nearest tenth )

Answer:

3i + 63j

Step-by-step explanation:

Step 1: Replace the variables with the given statements

5(3i+9j) - 3(4i-6j)

Step 2: Distribute

15i + 45j -12i + 18j

Step 3: Combine like terms

3i + 63j

Answer:

Look at the picture.

Step-by-step explanation:

Did the test on Edmentum

There are 8 possible outcomes for this situation that can be paired with yellow, pink, orange and peach, same with the red shoes. .

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

We have given that the Number of pairs of socks = 4

i.e. yellow(Y), pink(P), orange(O), peach(PE)

Also Number of pairs of shoes = 2

i.e. red(R) and black(B)

So, the possible outcomes for this situation will be;

{RY, RP, RO, RPE, BY, BP, BO, BPE}

Hence, there are 8 possible outcomes.

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Answer:

4.

Step-by-step explanation:

Answer:

23) 0

24) Option A

Step-by-step explanation:

For question 23, the line is horizontal. All horizontal lines have no slope.

For question 24, we are only given two points.  (-3, -2) and (3, 4).

[tex]m=\frac{4+2}{3+3} =\frac{6}{6}=1[/tex]

The slope is 1. Since option A's equation has a slope of one, which is represented by only having the 'x', Option A should be the correct answer.

Answer:

Scale factor is 3.

Step-by-step explanation:

Given: The Line Segment AB is dilated and a line segment A'B' is created.

A' (0, 6) and B' (6, 9).

As per the given graph , we can easily see that the coordinates of A and B are

A(0, 2) and B(2, 3)

Please refer to attached graph for the coordinates of A', B' and A, B.

The distance formula is given as:

[tex]D =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

D is the distance between two coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

So, the distance AB = [tex]\sqrt{(2-0)^2+(3-2)^2} = \sqrt{5}[/tex]

Similary, distance A'B' = [tex]\sqrt{(6-0)^2+(9-6)^2} = \sqrt{36 + 9}=\sqrt{45} = 3\sqrt{5}[/tex]

We can clearly see that A'B' is three times the distance AB.

So, The scale factor 3.

Answer:

the scale factor is definently 3

Step-by-step explanation: