14. slope = -1; through (-3,5)

Answers

Answer 1

slope m = diffy/diffx = (14-5)/(6-3) = 9/3 m = 3. Then here's an example. Write the equation of a line that passes through the given point


Related Questions

A watch worth Rs. 5400 is offered for sale at Rs. 4590 , then the percent of discount offered during the sale is

Answers

Answer:

15%

Step-by-step explanation:

4590 = 5400 - D% × 5400

4590 = 5400 - D/100 * 5400

4590 = 5400 - 54D

54D = 5400 - 4590

D = 810 / 54

D = 15%

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Express the equation In y = 5 in exponential form.
TIMED HELP PLEASE

Answers

Answer:

log

2

(

y

)

=

5

2

5

=

y

y

=

32

Step-by-step explanation:

how do you use subsitution for5x+2y=4

Answers

Rearrange:

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

                    5*x+2*y-(4)=0

Equation of a Straight Line

1.1     Solve   5x+2y-4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+2y-4  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000

 y-intercept = 4/2  =  2  

Calculate the X-Intercept :

When y = 0 the value of x is 4/5 Our line therefore "cuts" the x axis at x= 0.80000

 x-intercept = 4/5  =  0.80000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - 2.000 = -5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -5.000/2.000 = -2.500  

Geometric figure: Straight Line

 Slope = -5.000/2.000 = -2.500

 x-intercept = 4/5 = 0.80000

 y-intercept = 4/2 = 2

need help on proportions question urgently!!!!!!

Answers

Answer:

SSS~

RQP

Step-by-step explanation:

36/15 = 2.4

48/20 = 2.4

72/30 = 2.4

Triangles are similar by SSS~.

triangle JKL is similar to triangle RQP

. Ramu took a loan of 50000 rupees from a bank which charges 10% interest, compounded an- nually. He repaid 10000 rupees after one year and 15000 rupees after two years. How much should he pay at the end of three years to settle the loan?​

Answers

Answer:

= 30,550 rupee owed

Step-by-step explanation:

yr1 = 50000 x 0.10^1 = 5000

5000 - 10000 = 5000 credit from debt.

yr 2 = 50000 x 1.10^2 = 500 debit from debt = 5000-15000= 10,000 credit from debt

yr 3 = 50000 x 1.10^3 = 50 debit from debt

5000 + 500 = 15000 where 50,000 owed initially and yr1 and yr 2 paid in full interest of 5500 and we deduct this from his payment = 25000-5500 =

19500 paid of initial and nothing owed on interest.

50000-19500= 30,500 rupees owed + 50 rupee interest.

= 30,550 rupee owed

The amount he should pay at the end of the three years to settle the loan is; 41,550 Rupees

Compound Interest

We are given;

Investment = 50000 rupees

Annual Interest Rate = 10% = 0.1

Since the interest is compounded annually, then number of times of compounding = 3

Thus;

Amount to pay after 3 years is;

A = 50000(1 + 0.1)³

A = 50000 × 1.1³

A = 66500 Rupees

Now, we are told that he has already paid 10000 rupees after one year and 15000 rupees after two years. Thus, amount he now owes to settle the loan = 66500 - (10000 + 15000) = 41,550 Rupees

Read more on Compound Interest at; https://brainly.com/question/2455673

Please help me this is due please help

Answers

Step-by-step explanation:

so levt's label the video games as "P"

if 6P=207.54$

1P= X

1P × 207.54$ = 6P × X

1P × 207.54$ = 6P × X => P eliminates P on the right side

6P 6P. => 6P eliminates 6P on the left side

207.54$ = X

6

X = 34.59$

Step-by-step explanation:

Let the cost of 1 video game = x

6 video games = $207.54

1 video game = x........cross multiply

6x = 207. 54............ divide both sides by 6

x = 34.59

therefore, 1 video game costs $34.59

Movie tickets now average $9.75 per ticket, but are increasing 7% each year.
What is the growth factor?

Answers

Answer:

The Tickets grow approximately ¢68 or $0.68 each year

Step-by-step explanation:

7% of 9.75 = 0.68

A percentage is out of a fraction of 100; 7/100

Hope This Helps!

Run it up hb gotchu w them points

Answers

Answer:

C

Step-by-step explanation:

Answer:

This one is C

Step-by-step explanation:

3 sss, aas, sas, or not enough information

Answers

Answer:

AAS

Step-by-step explanation:

I'm pretty sure its this, but im sorry if im wrong!

The equation of the cables for a suspension bridge is modeled by the equation
y-48 = 0.0025x2, in feet. How far is the lowest point of the cables above the bridge?
The lowest point of the cables is
feet above the bridge.

Answers

The lowest point of the cables above the bridge is 48 feet above the bridge.

The statement give us a parabola equation in standard form, the vertical distance of the lowest point above the bridge is determined by the y-coordinate of the vertex. Hence, the lowest point of the cables above the bridge is 48 feet above the bridge.

We kindly invite to check this question on parabolae: https://brainly.com/question/8495869

8/7 divided by 5/2?

Answers

Answer:

16/35

Step-by-step explanation:

(8/7)/(5/2)

8/7 * 2/5

16/35

what is the converse of "If you know Spanish, you can join the Foreign Language Club."

Answers

Answer:

If you can join the foreign language club then you know spanish.

Giving me brainlest or sth will be appreciated

sam buys a rare stamp for his stamp collection at an auction. he buys the stamp for 920£ the stamp increased in value by 7% in each of the first 2 years decreased in value by 4% in the third year

Answers

The value of the stamp at the end of the third year is £976.31.

How to calculate the value?

From the information, Sam buys a rare stamp for his stamp collection at an auction. he buys the stamp for 920£ the stamp increased in value by 7% in each of the first 2 years.

First year value:

= 920 + (2% × 920)

= 938.4

Second year value:

= 938.4 + (2% × 938.4)

= 957.168

Third year value:

= 957.168 + (2% × 957.168)

= £976.31

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Complete question

sam buys a rare stamp for his stamp collection at an auction. he buys the stamp for 920£ the stamp increased in value by 7% in each of the first 2 years decreased in value by 4% in the third year. What is the cost by the end of. the third year?

If the volume of the cube was 27 (each side length is 3 units), what would the new volume be if each side length of the cube was reduced to 2 units?

Answers

clapped

Step-by-step explanation:

The new volume would be 8 because 2 by 2 by 2 equals 8.

is 3 a rational answer

Answers

Answer:

YES!!

Step-by-step explanation:

All rational numbers can be expressed as a fraction whose denominator is non-zero. Here, the given number, 3 can be expressed in fraction form as 3⁄1. Hence, it is a rational number.

Yup 3 is a rational number.
A rational number is any number that can be written as a fraction, like x over y.

Find the sum.
(1−5q)+2(2.5q+8)

Answers

Answer:

14.5q+2

Step-by-step explanation:

What is an equation in point slope form for the line perpendicular to..

Answers

Answer:

b

Step-by-step explanation:

And since we're perpendicular to y is equal to 3x plus 9, we know the slope of the two lines that are perpendicular

K times 3 is minus 1, so k is minus 1/3,

Only b and c match. Plug in the point negative 6,5.

The answer is b.

please explain how to solve this
(12+5i) - (9-2i)
i have answers but dont understand

Answers

Answer: 3 + 7i

Step-by-step explanation:

Equation expanded: 12 + 5i - 9 + 2i // now simplfy

12 - 9 = 3

5i + 2i = 7i

// together, we get

3 + 7i

Answer:

10i

Step-by-step explanation:

(12+5i) - (9-2i)

(17i) - (7i)

10i

Help WITH THE MATH PLEASE QUICK

Answers

Answer:

Step-by-step explanation:

2x - 3 = 135    {Corresponding angles are congruent}

2x = 135 + 3

2x = 138

Divide both sides by 2

x = 138/2

x = 69

[tex]\small\boxed{\begin{array}{cc} \hline\sf \normalsize {Math \: \: \: Question}\\ \hline\end{array}}[/tex]

=================================

2× - 3 = 135

2× = 135 + 3

2× = 138

× = 138/2

× = 69

=================================

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Express each number in scientific notation.
a) 1 300 000 c) 882 500 000
b) 12 500 d) 51 670 000

Answers

Answer:

1.3 x 10^6

8.825 x 10^8

1.25 x 10^4

5.167 x 10^7

Step-by-step explanation:

Complete the equation. ( − 4 ) 2 =

Answers

Answer:

-16

Step-by-step explanation:

multiply 4x4 and then determine if its negative or positive

-8 This is what I believe it is hopefully this helps

0.4(-1.08) = ?

what is the product?

Answers

Answer: -0.432

Step-by-step explanation:

0.4*1.08 would be 0.432 add the negative sign to get -0.432

The product of 0.4 and -1.08 is -4.240.

What is Multiplication?

Multiplication is a method of finding the product of two or more numbers

To multiply 0.4 and 1.08, we need to follow few steps

first multiply as if there is no decimal.

Next, count the number of digits after the decimal in each factor.

Finally, put the same number of digits behind the decimal in the product.

   0.40

    1.08

___________

     240

   000+

 040++

____________

    4.240

As there is a negative sign infront if 1.08, we will put minus sign to the product value

So 0.4(-1.08) is -4.240

Hence the product of 0.4 and -1.08 is -4.240.

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So, if the average family earned $4,000 per month, how much would they send back
out to pay debreach month
What kinds of things could you do with that money?

Answers

hazlo tu misma, perra. buy

plz help thxxxxxxxxxxxxxxxxxx​

Answers

Answer:

slope is positive 2/1

Step-by-step explanation:

Answer:

a) the slope is 2 because the line goes from (4,1) to (5,3)

I d k any of the bonus questions tho sorryyyy

Step-by-step explanation:

there years ago Ava lent her sister $400 to buy some clothes. today Ava's sister pay her loan in full with $454. what simple annual interest rate did she pay?

Answers

Answer:

4.5% per year

What is the equivalent ratio to 14:10 ?

?:30

Answers

Answer:

42:30

Step-by-step explanation:

10 x 3 = 30

14 x 3 = 42

The answer is 42.

10 is 3 times to get to 30

So 3 times 14 gets to ?

14:10
42:30

expand and simpifly 2(x+7) + 3(x+1)

Answers

Answer: 5x+17

Step-by-step explanation:

2(x+7) + 3(x+1)

2x+14 + 3x+3

5x+17

Answer:

5x+17

Step-by-step explanation:

expanded:

2x+14 + 3x+3

simplified:

-collect like terms-

2x+3x=5x

14+3=17

In a triangle abc angle a =x and angle b=2x what is the size of angle c

Answers

Answer:

∠c = 180 - 3x

Step-by-step explanation:

Triangle interior angles = 180.

Remember this fact:

The sum of the angles of any polygon = (number of sides in the figure - 2)(180)

∠a = x

∠b = 2x

∠c = 180 - 3x

Please help. I'll mark the answer as brainliest.​

Answers

thanks for the points

Step-by-step explanation:

hehe

find T1 and T2, if a 60 N load is hanged and in equilibrium position.​

Answers

Answers:

T1 = 59.5677879151077 N

T2 = 45.7583538175564  N

The values are approximate. Round the values however you need to.

=========================================================

Explanation:

Refer to the diagram below. I have added red and blue lines to break up each tension vector into the x and y components. For tension T1 in red, we have x1 and y1 as the horizontal and vertical components respectively. Note that x1 points to the left and y1 points upward.

For T2 in blue, we have x2 point to the right and y2 point upward. The horizontal components x1 and x2 must be equal, and point in opposite directions, so that we have horizontal balance. Otherwise, the object would accelerate to one side rather than be stationary.

Applying a bit of trig, we can say

cos(angle) = adjacent/hypotenuse

cos(45) = (x1)/(T1)

x1 = T1*cos(45)

and also

sin(angle) = opposite/hypotenuse

sin(67) = (x2)/(T2)

x2 = T2*sin(67)

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

Again, the x1 and x2 vectors must be equal in magnitude, allowing us to say this

x1 = x2

T1*cos(45) = T2*sin(67)

T1 = T2*sin(67)/cos(45)

which we'll use later.

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

Doing a bit more trig set up, we know that

sin(45) = (y1)/(T1)

y1 = T1*sin(45)

and

cos(67) = (y2)/(T2)

y2 = T2*cos(67)

Adding those two y components together will yield the total upward force that the ropes apply

y1+y2 = T1*sin(45)+T2*cos(67)

y1+y2 = (T2*sin(67)/cos(45))*sin(45)+T2*cos(67)

y1+y2 = T2*( sin(67)*sin(45)/cos(45) + cos(67) )

y1+y2 = T2*( sin(67)*tan(45) + cos(67) )

y1+y2 = T2*( sin(67)*1 + cos(67) )

y1+y2 = T2*( sin(67) + cos(67) )

This combined upward pull must be equal to 60 newtons or else we wouldn't have vertical equilibrium. If the upward pull was smaller than the downward pull, then the object would be falling. If the other way around, then the object would be pulled upward at some accelerated speed (think of a spring action).

So we'll set y1+y2 equal to 60 and solve for T2

y1+y2 = 60

T2*( sin(67) + cos(67) ) = 60

T2 = 60/( sin(67) + cos(67) )

T2 = 45.7583538175564

That value is approximate. The units for T2 are in newtons. This is the amount of pull or force along the T2 line in the upper right direction.

Side note: make sure your calculator is in degree mode.

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

The last thing to do is to compute T1

T1 = T2*sin(67)/cos(45)

T1 = 45.7583538175564*sin(67)/cos(45)

T1 = 59.5677879151077

That value is approximate as well. The units are also newtons here. This represents the amount of pull in the upper left direction as the diagram shows.

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

Finding such values for T1 and T2 is useful to determine if a rope can handle a certain stress load. Let's say we had a rope that was rated for only 40 newtons. Anything beyond 40 N for this hypothetical rope would mean the rope breaks. We found T1 and T2 beyond this threshold which would indicate that such a rope isn't up to the task of holding this object up (at least not with the angles shown in the diagram).

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