write the equation of the line in slope intercept form

Answer:

El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.

Step-by-step explanation:

Sea [tex]x[/tex] la distancia horizontal entre la pared y la base de la escalera y [tex]l[/tex] la longitud de la escalera, medidas en metros. Además, tenemos que [tex]\theta[/tex] es el ángulo entre la escalera y el piso, medido en radianes.

Si la pared y el piso son ortogonales entre sí, entonces podemos utilizar la siguiente relación trigonométrica que relaciona las variables anteriores:

[tex]\cos \theta = \frac{x}{l}[/tex]  (1)

Por diferenciación implícita y la definición de razón de cambio tenemos que:

[tex]-\sin \theta \,\dot \theta = \frac{\dot x}{l}[/tex] (2)

Donde:

[tex]\dot x[/tex] - Razón de cambio de la distancia horizontal entre la pared y la base de la escalera, medida en metros por segundo.

[tex]\dot \theta[/tex] - Razón de cambio del ángulo entre el piso y la escalera, medida en radianes por segundo.

Pero tenemos que el seno del ángulo está definido por:

[tex]\sin \theta = \frac{\sqrt{l^{2}-x^{2}}}{l}[/tex] (3)

Si aplicamos (3) en (2), expandimos la ecuación como sigue:

[tex]-\frac{\sqrt{l^{2}-x^{2}}}{l}\,\dot \theta = \frac{\dot x}{l}[/tex]

[tex]\dot \theta = - \frac{\dot x}{\sqrt{l^{2}-x^{2}}}[/tex] (4)

Si tenemos que [tex]\dot x = 5\,\frac{m}{s}[/tex], [tex]l = 13\,m[/tex] y [tex]x = 12\,m[/tex], entonces la razón de cambio del ángulo es:

[tex]\dot \theta = -\frac{\left(5\,\frac{m}{s} \right)}{\sqrt{(13\,m)^{2}-(12\,m)^{2}}}[/tex]

[tex]\dot \theta \approx -1\,\frac{rad}{s}[/tex]

El ángulo entre el piso y la escalera está cambiando a una razón de -1 radian por segundo.

Answer:

1 plus 1= 2

2 × 4 = 8

5 × 1 =5

Step-by-step explanation:

IM SO SORRY IF IM WRONG! I just multiplied and added...

Answer:

1+1=2

2x4=8

?

5x1=5

Step-by-step explanation:

Answer: at end of explanation

Step-by-step explanation:

First simply operate the e's, so get common factor and (- 56 - 23)e = -24. This leaves you with -79e = -24. Then move the number multiplying e to dividing the other side, so e = -24 / -79, wich results in 0.8 period. So your result rounded to 2 decimal places is 0.89.

Answer:

0.304

Step-by-step explanation:

Step by Step Solution:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -56*e-23*e-(-24)=0  

Step by step solution :

STEP

1

:

Solving a Single Variable Equation

1.1      Solve  :    -79e+24 = 0  

Subtract  24  from both sides of the equation :  

                     -79e = -24

Multiply both sides of the equation by (-1) :  79e = 24

Divide both sides of the equation by 79:

                    e = 24/79 = 0.304

Answer:

thx for the points and happy thanksgiving

Step-by-step explanation:

have a great night/morning

i love food,do u?

Answer: x=-2

Step-by-step explanation:  First we can multiply 4 times anything in the parantheses to get rid of it.

(2x-6)+4(x-3)

(2x-6)+4x-12

Then we combine like terms.

(2x-6)+4x-12

6x-6-12

6x-18

Finally we divide both sides 6.

6x-18

6x/6-18/6

x=-2

The final answer is x=-2

Hope this helps!

Btw this is a backup account

Answer:

6x - 18

Step-by-step explanation:

Distribute:  2x − 6 + 4x − 12

Group Common Factors: 2x + 4x - 6 -12

Solve: 6x - 18

I hope this helped, please mark Brainliest, thank you!

Answer:

Volume = Length × Width × Height

Step-by-step explanation:

A right rectangular prism is a three-dimensional object like the one shown in the attachment. It has dimensions: Length, Width and Height. All the angles between the sides are 90°. In order to calculate the volume of an object shaped like a  right rectangular prism, we use the following expression.

Volume = Length × Width × Height

Answer:

Step-by-step explanation:

to get the slope, we use the fotmula y2-y1/x2-x1

so that would be

7-3 over -4-(-2)

7-3=4 and -4-(2)=-2

so the slope is -4/2x, or simply -2x

Answer:

the firstn one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We have the function:

[tex]f(x)=(x-1)(x+4)[/tex]

This is a quadratic in factored form.

The zeros of our function will be the opposites of our factors.

We have the factors (x-1) and (x+4).

Therefore, the zeros of our function must be at x=1 and x=-4.

Also, notice that the coefficient of our x-variable are both positive.

Therefore, the leading coefficient will also be positive.

So, this means that our graph must curve upwards.

Therefore, our graph must be curving upwards while crossing the points x=1 and x=-4.

So, our answer is D.

Answer:

I got x = -3/7, y = 20/7. Hope this helps :)

Answer:

3n - 7 = 2n + 5

Step-by-step explanation:

n=12

that is the answer

Answer:

$42.12

Step-by-step explanation:

The original price of the shoes was $65.

Everything is 40% off. Therefore, the new price of the shoes now will be the original price minus 40% of 65.

40% of 65 is 0.4(65) or $26. So, $26 was deducted.

This means that the new price will be $65-$26 or $39.

There’s also an 8% sales tax that will be applied. So, Gretta’s total will be the new price of the shoes plus the sales tax being applied to the shoes.

The sales tax is 8% of 0.08. So, when applied to the shoes, it will be: 0.08(39) or $3.12.

Therefore, the total sum Gretta will pay is $39 (the new price) + $3.12 (the sales tax) for a grand total of $42.12

Answer:

(−55+94i) + (13−12i) = (−42+82i)

Step-by-step explanation:

The sum of the two complex numbers, (a+bi) and (c+di), is ((a+c) + (b+d)i)

( -  55 +  94i) + ( 13 -  12i) =

 ( -  42 +  82i)  

Answer:

A rectangular visual model resembling a piece of tape with divisions used to assist mathematical calculations. Also known as a divided bar model, fraction strip, length model or strip diagram. In mathematics education, it is used to solve word problems.

Step-by-step explanation:

Answer:

Tape diagrams are visual models that use rectangles to represent the parts of a ratio.

Here's what it looks like

Answer:

X=$7

Step-by-step explanation:

Answer:

SAS Postulate

Step-by-step explanation:

You can use the SAS (side, angle, side) postulate that says "if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent"

Side AB is proportionate to DE and

Side AC is proportionate to DF.

Angle A and Angle D are the same; and is between the two sides

I hope this helps.

Answer:

12

Step-by-step explanation:

For ΔDEF similar to ΔRST, the value of x is 12. So, option a) is correct.

Two triangles are said to be similar if corresponding angles are equal or  corresponding sides are in the same proportion.

Given triangles are similar:

ΔDEF ~ ΔRST

Therefore, using the property of similar triangle that corresponding sides of a similar triangle are in same proportion.

[tex]\dfrac{EF}{ST}=\dfrac{ED}{SR}\\\\\dfrac{x}{16}=\dfrac{3}{4}\\\\x=\dfrac{3}{4}\times 16\\\\x=12[/tex]

Thus, the value of x is 12. So, option a) is correct.

Learn more about similar triangles, here:

https://brainly.com/question/29191745

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The numbers are 15 and 9 .

Numbers are the basic foundation of mathematics. Numbers are used to represent quantity and used is basic arithmetic operations. Numbers can be categorized into a lot of different types such as real  or imaginary. Real numbers can be divided into integers , irrational numbers , whole numbers .The four basic arithmetic operations are multiplication , sum , division and subtraction.

Let us consider one of the given numbers be x .

Given the sum of the numbers is 21

therefore the other number = 21 - x

Now it is given that  [tex]\frac{3}{4}[/tex] of 1 number and [tex]\frac{2}{3}[/tex] of another number adds up to 15 .

∴ [tex]\frac{3}{4}[/tex] of x =  [tex]\frac{3}{4}x[/tex]  and  [tex]\frac{2}{3}[/tex] of another number =  [tex]\frac{2}{3}\times(21-x)[/tex]

Now the sum of the two new numbers is given as 15.

∴ [tex]\frac{2}{3}\times(21-x) +\frac{3}{4}x =15[/tex]

[tex]or, 14-\frac{2}{3}x +\frac{3}{4}x =15\\\\or, -\frac{2}{3}x +\frac{3}{4}x =15-14\\\\or, \frac{-8+9}{12} x=1\\\\or, \frac{1}{12}x = 1\\\\or, x=12[/tex]

So the other number is 21-12 = 9 .

Hence the two numbers are 15 and 9 .

To learn more about number visit:

https://brainly.com/question/24908711

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Answer:

Option 1: -2

Step-by-step explanation:

Take the rise over the run, where rise is the number of units vertically up the graph and run is the number of units horizontally across the graph

This is a topic on coordinate geometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary). I'll be uploading notes on this topic soon. At the meantime, you can take a look at other topics or some tips as well!

Answer:

Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]

Step-by-step explanation:

Proportion means that the change in one quantity causes change in other quantity.

Given that A proportional relationship exists between x and y.

It can be expressed mathematically as:

y ∝ x

When the proportionality symbol is removed, constant of proportionality is introduced which is usually denoted as k

[tex]y = kx[/tex]

Given that y=14 when x=8

Putting in equation

[tex]14 = k * 8\\k =\frac{14}{8}\\k = \frac{7}{4}[/tex]

Putting the value of k in equation

[tex]y = \frac{7}{4}x[/tex]

Hence,

Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]

Answer:

Step-by-step explanation:

the xintercept is (-6/11,0)

y intercept is (0,6)

if there are 13 heart cards in total and there are 20 cards that have a value above 9, your odds are better for game a.

Answer:

Question 18

=$3.33

Step-by-step explanation:

i)

26/100 x 4.5

=1.17

(the discount price)

ii)

$4.5-$1.17

=$3.33

Answer:

QUESTION 18

The original price is $4.50

The discount is 26%

They are asking for the sale price which the price after the discount.

So,

The original price means 100% of the cost, like there is no discount at all.

But then we have to apply a 26% discount which means to subtract 26% (the discount) from 100% (the original price)

The new price of the item has to be 74% of the original price.

74% of $4.50   is the same as saying 26% discount.

But what is the number?

To calculate 74% of $4.50, turn 74% into a decimal which is 0.74, then multiply it by 4.50.

0.74 x 4.50   = 3.33

In conclusion, after a 26% discount on an item that is originally $4.50, the new price (sale price) of the item is now $3.33

Answer:

2x^3

Solution

You simplify to the lowest value possible 4x^6

2x^3

Answer:

It is different because perimeter is the outside and area is the inside.

Step-by-step explanation:

Answer:

25+15x=115

Step-by-step explanation:

25+15x=115      115-25= 90  90/15=6

x=6

Answer:

55

Step-by-step explanation:

6(10)-5

=60-5

=55

PLS GIVE BRAINLIEST

Answer:

55

Step-by-step explanation:

for this problem, you would use substitution. What you do is replace the x in the 6x-5 expression with 10 (since x is already solved for 10).

6x-5 and x=10

substitute x for 10

6(10)-5

simplify

60-5

answer

55

Answer:

6 divided by 2 =p (a made a little graph at the bottom to demonstrate)

Step-by-step explanation:

.  .  .  .  .  .          Graph←

.  .  .  .  .  .

Answer:

1140 in.

Step-by-step explanation:

Multiply the length value by 12, so 95*12=1140

Have a beautiful day! v(⌒o⌒)v♪