The
of a nonvertical line passing through two points is the ratio of the rise to the run.

Answers

Answer 1

Answer: Slope

Step-by-step explanation:

Slope is rise over run. It can be calculated by dividing the change in y (rise) over the change in x (run).

Answer 2

The slope of a non vertical line passing through two points is the ratio of the rise to the run.

What is slope of a line?

The slope of a line is a measurement of its steepness and direction.The slope of a line formula computes the "vertical change" to "horizontal change" ratio between two distinct points along a line.

1. Slope of Parallel Lines :

A set of parallel lines always has the same inclination angle. Assume we possess two parallel lines l1 and l2 in the reference plane, inclined at angles θ1  and θ2 with the x-axis, respectively, such that the, θ2 = θ1.

m1 = m2

Therefore, the slopes of the two given parallel lines are equal.

2. Slope of Perpendicular Lines :

A pair of perpendicular lines always form a 90° angle. Imagine we have two perpendicular lines l2 and l1 in the coordinate plane, inclined at angles θ1 and θ2 with the x-axis, respectively, so that the provided angles follow the external angle theorem, θ2 =  θ1 + 90°

m₁ = tan θ₁

m₂ = tan (θ₁ + 90º) = - cot θ₁

m₁ × m₂ = -1

Therefore, the product of slopes of two given perpendicular lines is equal to -1

Hence , The slope of a non vertical line passing through two points is the ratio of the rise to the run.

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Related Questions


2. A 5-foot-tall fencepost casts a 7.25-foot shadow at the same time that a nearby
gazebo casts a 36.25-foot shadow. How tall is the gazebo?

Answers

Answer:

I think the answer is 25 feet

Step-by-step explanation:

5 / 7.25 = .6896551724

.6896551724 x 36.25 = 25

Calculate the quotient below and give your answer in scientific notation. 0.00065/5*10^-2

Answers

Answer:

1.3x10^-6

Step-by-step explanation:

Use a calculator.

0.00065/5 will give you 0.00013 which can be written as 1.3x10^-4 and multiply that by 10^-2, you will add the exponents -4+-2 and get -6 as your new exponent, ending with 1.3x10^-6

Answer:

The one above is incorrect, the answer is:

1.3 x 10-2

What’s 20 times 6 plus negative 2?

Answers

Answer:

118

Step-by-step explanation:

20 x 6 = 120 add that to negative 2 and boom there you go.

Answer:

20+6-2=24

Step-by-step explanation:

this is the answer

Evaluate the function when x = 5: h(x) = 3x + 5

Answers

Answer:

h(x)=20

Step-by-step explanation:

x=5

3(5)+5

15+5

20

Hope this helps!

Answer:20

Step-by-step explanation:

Hello!

So first you want to plug in 5 to all of the x

h(5) = 3(5) + 5

No you want to do 3(5)

3(5) = 15

h(5) = 15 + 5

Now you add 15 + 5

15 + 5 = 20

h(5) = 20

So your answer is 20

what is x for 4(x+2) = 16 ?

Answers

Answer:

x=2

Step-by-step explanation:

4(x+2) = 16

Divide each side by 4

4/4(x+2) = 16/4

x+2 = 4

Subtract 2 from each side

x+2-2 =4-2

x =2

Answer:

x is 2

Step-by-step explanation:

parenthesis first ok ... 2 plus 2 is 4 ok?

and then 4 times 4 is 16 and the numbers haveta equal 16 so there u go mate x equals 2 yall

hope this helps

have a great day

im brooke btw

find (x+5)
Helppppp me
pleaseeeee

Answers

Answer:

x² + 10x + 25

Step-by-step explanation:

To find the answer you have to foil the function

(x + 5)(x + 5)

x² + 10x  + 25

Foil- First, Outter, Inner, Last

An online store sells only two types of bandanas: cotton bandanas and silk bandanas. Cotton bandanas cost $7 each, and silk bandanas cost $11 each. Mrs. Tran spent a total of $93 on bandanas at this store. How many cotton bandanas did Mrs. Tran buy

Answers

Given :

An online store sells only two types of bandanas: cotton bandanas and silk bandanas. Cotton bandanas cost $7 each, and silk bandanas cost $11 each.

Mrs. Tran spent a total of $93 on bandanas at this store.

To Find :

How many cotton bandanas did Mrs. Tran buy.

Solution :

Let, number of cotton and silk bandanas buys are x and y respectively.

So, 7x + 11y = 93

x = (93 - 11y)/ 7

Putting y = 1 , x = 82/7 ( not possible since x can only be positive integer )

Putting y = 4 , x = 7

Therefore, Mrs . Tran will buy 7 cotton bandanas.

Hence, this is the required solution.

Write the standard form of 2 (4x - 1)(2x + 5)

Answers

Answer:

16x^2+36x-10

Step-by-step explanation:

  2 (4x - 1)(2x + 5)

=2(8x^2-2x+20x-5)

=2(8x^2+18x-5)

=16x^2+36x-10

(BRAINLIEST FOR QUICKEST)
Write the following using algebraic notation, using the letter x for any unknown numbers.
I think of a number add seven and then divide by five.

Answers

Answer:

[tex]\frac{x+7}{5}[/tex]

Step-by-step explanation:

Add 7 to x gives x + 7 then divide this by 5, that is

[tex]\frac{x+7}{5}[/tex]

PLEASE HELP!!! FIVE MINUTES LEFT!!! SHOW WORK

Answers

I think angle a but I’m 1 percent sure

Answer:

It angle one I think

Step-by-step explanation:

Define and give examples of x-intercept

Answers

The x intercept is also known as the domain
(3,6) in that ordered pair, 3 would be the domain

Answer:

Definition: The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Example: From the graph, describe the x and y-intercepts using point notation. The graph crosses the x-axis at x = 1 and x = 3, therefore, we can write the x-intercepts as points (1,0) and (–3, 0). Similarly, the graph crosses the y-axis at y = 3. Its y-intercept can be written as the point (0,3).

find the slope (m) and y -intercept (b) of the equation in standar form 2x-3y=6​

Answers

Answer:

m = [tex]\frac{2}{3}[/tex] , b = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Given

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide all terms by - 3 )

y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex] and y- intercept b = - 2

Answer:

y- intercept is (0, -2)

slope is 2/3

Step-by-step explanation:

find 2 points on the line:

2x-3y=6

1/2*(6+3y) =x

if y is 2, x is 6 ((6,2))

if y is 4, x is 9 ((9, 4))

y-intercept is when x = 0.

0-3y=6

y=-2

slope is (y2-y1)/(x2-x1): choose y2 and the corresponding x-coordinate is x2. then the others are the 1's. let's use 4 as y2 which means:

x2 = 9

x1 = 6

y1 = 2

then plug in and solve.

(4-2)/(9-6)

= 2/3

m = 2/3

Hope this helps!

The diagram to the right of airport runaways intersection shows two parallel runways. A taxiway crosses both runways use the diagram to answer the question.

Answers

Answer:

m<4 is the measurement of 20°

and m<1 is the measurement of 33°

and in order to get 127° is to subtract 180° by 127° then that gives you 53° then you ether divide 53° by 180° or, you divide 53° in half, which gives you 33° for measurement 1™ and measurement 4™ gives you 20°

Step-by-step explanation:

The sum of angles m∠1 and m∠4 is 254°.

What is an angle?

When two lines meet at a point, the geometrical figure that is formed is called an angle.

Here the taxiway crosses two parallel airplane runways.

Now, the m∠8 = m∠4         (these are corresponding angles)

Again, m∠4 = m∠1               (these are opposite angles)

Therefore, sum of angles m∠1 and m∠4

= (m∠1 + m∠4)

= (m∠8 + m∠8)

= 2 × m∠8

= 2 × 127°

= 254°

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What is the line of reflection

Answers

Answer:

x=y

Step-by-step explanation:

"The definition of absolute value is: how far a number is from its opposite". What's the error put into words.

Answers

Answer:

correst sentence would be absolute value is how far number is from 0

Probability and Statistics
IS
The probability distribution for a
random variable x is given in the table.
-5
-3
-2.
0
2
3
Probability
.17
113
.33
.16
.11
.10
Find the probability that x <-3

Answers

Answer:

Step-by-step explanation: if you want to obtain the probability that x [tex]\leq[/tex]-3 , then you need to add the probability for the cases x=-3 and x=-5.

p=0.13+0.17= 0.3

answer=0.3

The probability that x ≤ -3 will be the sum of 0.13 + 0.17 = 0.30.

What is probability?

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given probability distribution.

The probability distribution is the probability of different cases.

In cases the probability adds thus,

P(x ≤ - 3) = P (x = -3) + P(x = -5)

⇒ 0.13 + 0.17 = 3

Hence "The probability that x ≤ -3 will be the sum of 0.13 + 0.17 = 0.30".

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Enter the value for x that makes the equation 4 + 2x – 8 + 8x = -54 true.

Help please

Answers

Answer:

x = -5

Step-by-step explanation:

If m<1 = (2x)° and m<5 = (x+16)°, find the value

of ‘x’ and the m<4.

Answers

Answer:

Given equation is

<br> Comparing with

, we get a=1, b=2(m-1), c=m+5 <br> The equation will have two real and equal roots if <br> Discriminant (D)=0 <br>

<br> or

<br>

<br>

<br>

<br>

<br>

<br>

<br>

<br>

Hence, value (s) of m are -1 and 4.

Triangle PQR is shown below. Its original lengths are multiplied by 2.5. What are the new side lengths of P’Q’R’?
17, 8, 15

Answers

Answer:

17 will change to 42.5

8 will change into 20

and

15 will change into 37.5

Step-by-step explanation:

Multiply them all by 2.5

Answer:

A 37.5 cm x 20 cm x 42.5 cm

Step-by-step explanation:

Its  37.5 cm x 20 cm x 42.5 cm

Write this inequality based on the information given: Five is greater than seven more than five times a number (Use x as your variable.)

Answers

Answer:

5>5x+7

Step-by-step explanation:

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The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm.What are the lengths of the sides?
The lengths of the sides of the triangle in cm are____?

Answers

Answer:

The lengths of the sides of the triangle in cm are 32 cm, 36 cm and 40 cm

Step-by-step explanation:

The lengths of side of the triangle are in ratio 8:9:10

Perimeter of triangle = 108 cm

We need to find length of sides of triangles.

The formula used is: [tex]Perimeter \ of \ triangle = Sum \ of \ all \ sides \ of \ triangle\\[/tex]

The length of side of triangle can be expressed as:

First side= 8x

Second Side =9x

Third Side=10x

So, finding x and then calculate length of each side

[tex]Perimeter \ of \ triangle = Sum \ of \ all \ sides \ of \ triangle\\\\108=8x+9x+10x\\108=27x\\x=\frac{108}{27}\\x=4[/tex]

So, value of x = 4

The length of sides of triangle will be found by putting value of x at each side.

First side= 8x = 8*4 = 32 cm

Second Side =9x= 9*4= 36 cm

Third Side=10x = 10*4=40 cm

So, The lengths of the sides of the triangle in cm are 32 cm, 36 cm and 40 cm

what is x in 9x + 89 = 161

Answers

Answer:

The answer is x=8

Step-by-step explanation:

hope that helps

9x+89=161

9x+89−89=161−89

9x=72

9x/9=72/9

x=8

Answer:

x = 8

Step-by-step explanation:

We just need to solve for x!

Here is a step-by-step process:

9x + 89 = 161

Subtract 89 from both sides

9x = 72

Divide both sides by 9

x = 8

Write the sentence as an inequality: Sixteen is no more than the product of 4 and x

Answers

Your sentence:

16 < 4x

Plz help it’s due soon I made it extra points

Answers

Answer:

the answer is D

Step-by-step explanation:

It shows both numbers of the graph.

M(-2,0), and N(-1, 2)

I’m pretty sure it’s D I’m not sure tho

one less than the quotient of a number and negative five

Answers

Answer:-5x-1Step-by-step explanation:

Let's say the unknown number is x

Quotient = is the answer to a multiplication question

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

We have to multiple -5 by x:

= -5x

_---------------__-------------__-----------____-----------------------------------------

Lastly: we have to minus 1 from -5x

= -5x-1````````````````````````````````````````````````````````````````````````````````````````````````````````````````If you learned from my answer please rate it below from a scale of 1 to 5 using the stars to let me know how well you learned from my answer. Make sure to also press the like button (Thanks button) if you really liked my answer / explanation If it was incorrect or you didn't learn from it please review my answer accordingly (report if incorrect) ````````````````````````````````````````````````````````````````````````````````````````````````````````````````I only want to spread knowledgeable and truthful information let me know if it is incorrect or not helpful so I / Brainly can take it down. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Lastly, If your the owner of this question please mark me Brainliest if you really learned from my answer I really do appreciate it.

Completing the question and solving the equation, it is found that the number is 20.

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

We don't know the value of the number, so we call it x.The quotient of a number and negative five is:

[tex]\frac{x}{-5} = -\frac{x}{5}[/tex]

One less than the quotient is:

[tex]1 - (-\frac{x}{5}) = 1 + \frac{x}{5}[/tex]

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

Supposing this is equals to 5.

[tex]1 + \frac{x}{5} = 5[/tex]

[tex]\frac{x}{5} = 4[/tex]

[tex]x = 5 \times 4 = 20[/tex]

Thus, the number is 20.

A similar problem is given at https://brainly.com/question/17155730

What is the area of the triangle bounded by the line 3x+2y=12 and the x- and y- axes?

Answers

Answer:

12

Step-by-step explanation:

If x=0, then the y axis is 6

If y=0, then the x axis is 4

The base is 4 and the height is 6

4 x 6 / 2 = 12

Factor out the GCF of the following:
9v2 + 90 – 648

Answers

Answer:

9

Step-by-step explanation:

The GCF o the three numbers is 9 and then there is no gcf for the variable.

Which inequality contains (0,0) its shaded region

Answers

Answer:

The origin

Step-by-step explanation:

The inequality is origin .(0,0)

Let f (x) = 8x^2 + 4 and g(x) = -x^2+ 12x + 10. Which statements below are true for f (x) · g(x)? Select all that apply.
A.The constant term is 40.
B.The leading term is 8x^4.
C.The x term has a coefficient of 12.
D.The x^2 term has a coefficient of -76.
E.The x^3 term has a coefficient of 96.
F.The resulting polynomial has degree 4.

Answers

Answer:

Option A, E ,F are correct

Step-by-step explanation:

f(x).g(x)=(8x^2+4)(-x^2+12x+10)

=(-8x^4+96x^3+80x^2-4x^2+48x+40)

= -8x^4+96x^3+76x^2+48x+40

Leading term is -8x^4. The x term has coefficient 48. The x^2 term has coefficient +76

(-24)/2+30/6x=3x-6 can you solve

Answers

Answer:

3

Step-by-step explanation:

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