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What is the slope of the line shown?

Answer:

It’s perpendicular

Step-by-step explanation:

If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

lines AB and CD are perpendicular to each other

This is all about getting the slope of a line between two coordinates.

The formula for the slope in this case is;

m = (y2 - y1)/(x2 - x1)

We are given coordinates of A and B as;

A(9, 2) and B(-1, 8)

Thus;

m = (8 - 2)/(-1 - 9)

m = 6/-10

m_ab = -6/10 = -3/5

For coordinates of C and D, we have;

C(-5, 16) and D(-8, 11)

Thus;

m_cd = (11 - 16)/(-8 - (-5))

m_cd = -5/-3 = 5/3

For the slopes to be parallel, they have to be equal but for the slopes to be perpendicular, one of them would have to be negative inverse of the other.

We see that; m_cd = 5/3 is same as -1/(m_ab) = -1/(-3/5) = 5/3

Thus, lines AB and CD are perpendicular to each other.

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Given :

Plan A will cost $2.00 per song. Plan B will require a $15 joining fee and $1.49 per song.

To Find :

When will Plan A be a less expensive option for Aubrey? When will Plan B be a less expensive option for Aubrey?

Solution :

Let, after x songs Plan A will be less expensive.

So,

2x < 15 + 1.49x

0.01x < 15

x < 29.41 i.e x < 30

Before, 30 songs Plan A will be less expensive.

After, 30 songs Plan B will be less expensive.

Hence, this is the required solution.

Answer:

7.81

Step-by-step explanation:

Answer:

(0,5)

Step-by-step explanation:

3x-5y=15

Plug in 0 for y, because we are trying to find the value of x, when y is 0

so, 3x-5(0)=15

3x=15     Divide both sides by 3

x=5

so the answer in coordinate form is (0,5)

Answer:

centroid

Step-by-step explanation:

a centroid is the point of intersection of it's medians (center of the sides and the vortexes)

Answer:

the x-intercept is 3 and the y-intercept is -4

Step-by-step explanation:

Answer:

x-intercept: (3,0)

y-intercept: (0,-4)

The length of the model car is 2 feet

Paul's car is 16 feet long. To create a model of his car that is 1/8 the actual size, we need to determine the length of the scaled-down model.

To find the length of the model, we multiply the length of the actual car by the scaling factor of 1/8.

Length of the model = Length of the actual car * Scaling factor

Length of the model = 16 feet * (1/8)

Length of the model = 16 feet * 1/8

Length of the model = 16/8 feet

Length of the model = 2 feet

Therefore, the length of the model car is 2 feet. The model car is 1/8 the size of the actual car, so it measures 2 feet in length.

This scaled-down model allows Paul to create a representation of his car that is much smaller and more manageable while maintaining the same proportions as the original car.

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Answer:

-3x+10=5x-8

so basically its like grouping.

so answer is

8x=18?

Step-by-step explanation:

sorry if incorrect

Answer:

x=2.25

Step-by-step explanation:

three -x make -3x and 10 +1s make +10 and 5 xs make 5x and 8 -1s make -8

which makes

-3x+10=5x-8

just solve

18=8x

2.25=x

Answer:

5 is c 9 is f

Answer:

Yes

Step-by-step explanation:

The reason is all u do is 12 +1=13 aka 1pm then 30 +50=80 making the time 2:20

Answer:

182.88cm

Step-by-step explanation:

multiply the length value by 30.48

Answer: 1mph

Step-by-step explanation:

She s running 1 mile per hour because that's what it says in the problem.

Answer:

0,1

Step-by-step explanation:

i believe that’s the answer sorry if it’s incorrect

Answer:

The "if" part is the hypothesis.

The "then" part is the conclusion.

Hypothesis: an animal is a poodle

Conclusion: it is a dog

Answer:

h(3) = 2

Step-by-step explanation:

The absolute value function always gives a positive value, that is

| - a | = | a | = a

To find h(3) substitute x = 3 into h(x), that is

h(3) = | 5(3) - 17 | = | 15 - 17 | = | - 2 | = 2

Answer:

Width: 15 Length: 53

Step-by-step explanation:

Answer:

(8,−5)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Well basically i took 19 1/4 and divided it by 1 3/4 and there for i got 11. YOUR WELCOME.

There are 11 pieces of ribbon doe Nadya have.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Nadya has 19 1/4 yards of ribbon she cuts ribbon into pieces that measure 1 3/4.

Now, We can find the number of pieces as;

⇒ 19 1/4 ÷ 1 3/4

⇒ 77/4 ÷ 7/4

⇒ 77/4 × 4/7

⇒ 77/7

⇒ 11

Therefore, There are 11 pieces of ribbon doe Nadya have.

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Answer:

360 degress

Step-by-step explanation:

the circumference of a circle is its perimeter or distance around it. it is denoted by c in math formulas and has units of distance, such as milimeters, centimeters, meters, or inches. the circumference of a circle is the easured total length around a circle, which when measured in degrees in equal to 360 degress.

Answer:

15 times larger than b

Step-by-step explanation:

=3×10^-2/2×10^-3

=15×10^-1×10^+1

=15

Answer:1/r7+1 over 8 and 12

Step-by-step explanation:

The simplified form of expression r Superscript negative 7 Baseline + s Superscript negative 12 is,

⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

r Superscript negative 7 Baseline + s Superscript negative 12

⇒ r ⁻⁷ + s ⁻¹²

Now, We can simplify the expression as;

⇒ r ⁻⁷ + s ⁻¹²

⇒ 1 / r⁷ + 1 / s ¹²

⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]

Thus, The simplified form of expression r Superscript negative 7 Baseline + s Superscript negative 12 is,

⇒ [tex]\frac{s^1^2 + r^7}{s^1^2 r^7}[/tex]

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Answer:

PQ

Step-by-step explanation:

Answer: PQ would be the longest segment

Step-by-step explanation:

PQ extend 2 units versus 1

Answer:

the answers is -10. I hope this helps you out

The solution to the inequality 3(x-4) ≥ 5x + 2 is when x = -10

Therefore, the correct answer is Option A. -10

Given data:

The inequality relation is represented as 3(x-4) ≥ 5x + 2

On simplifying the equation:

From the distributive property:

3x - 12 ≥ 5x + 2

Adding 12 on both sides:

3x ≥ 14 + 5x

Subtracting 5x on both sides:

-2x ≥ 14

Divide by -2 on both sides:

x ≤ -7

The inequality relation changes when the operand is -1.

So, the values of x should be less than -7

Hence, the solution is when x = -10, the inequality satisfies.

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The complete question is attached below:

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

–10

–5

5

10

Answer:

b

Step-by-step explanation:

Answer:

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

Your answer would be 133.

Answer:

The measure of the angles is 45° and 135°

Step-by-step explanation:

When two lines intersect, a linear pair of angles is formed. Two angles are said to be linear if they are adjacent, so a linear pair of angles must add up to 180 degrees.

Let's call x and y the two required angles. Knowing they form a linear pair:

x+y=180

We also know one angle is 1/3 of the other angle, thus:

x=y/3

Or, equivalently:

3x=y

Substituting y into the first equation:

x+3x=180

Simplifying:

4x=180

Solving:

x=180/4=45

The other angle is:

y=3x=3\cdot 45=135

Thus the measure of the angles is 45° and 135°