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3 years ago

Please help me, I have no idea what the equation for the new path is. Thank you!!

Mathematics

1 answer:

Citrus2011 [14]3 years ago

8 0

First, find the slope of the initial line;

m=(y₁-y₂)/(x₁-x₂)

m=(4-0)/(11-8)
m=4/3

If two lines are parallel, the slope is the same although the intercept can differ.

If this parallel lines passes through the point (4, 5);

y=(4/3)x+c <-- plug in coordinates to solve for c
5=(4/3)(4)+c
(15/3)=16/3+c
(15/3)-(16/3)=c
-1/3=c

Therefore, the final equation should be y=4/3x-1/3

Hope I Helped :)

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A hockey player knows that the two goal posts of a hockey net are 1.83 meters apart. The player tries to score a goal by shootin

Luden [163]

The distance the player is from the right post is = 5.1 meters

<h3>Calculation of distance using Pythagorean theorem</h3>

The Pythagorean theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

Formula for the Pythagorean theorem =

a²= b²+c²

From the diagram given,

The hypotenuse (a) = x²

b= 1.82²

c = 4.8²

x² = 1.82² + 4.8²

x²= 3.3124 + 23.04

x²= 26.3524

a= √26.3524

a= 5.1 meters.

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brainly.com/question/2854969

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2 years ago

Which fractions are equivalent to the fraction below? Check all that apply.<br> 5/7

Lapatulllka [165]

Answer:

A. 10/14

and

C. 15/21

Step-by-step explanation:

A. 10/14

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C. 15/21

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3 years ago

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Please help me :((( it’s geometry

NikAS [45]

$\tt Step-by-step~explanation:$

$\tt Area:$

To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.

$\tt 10*7=70\\70/2=35\\35=A$

$\tt Perimeter:$

$\tt Step~1:$

To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.

$\tt 7^2=49\\10^2=100\\100+49=\sqrt{149}\\\sqrt{149$

We cannot simplify √149, so we either leave it, or round it.

$\tt \sqrt{149}\\12.2066$

This is rounded to the nearest 10,000.

$\tt Step~2:$

Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.

$\tt 10+7+\sqrt{149}=17+\sqrt{149}=P\\Rounded~to~the~nearest~1,000th:~29.207=P$

$\large\boxed{\tt Our~final~answer: ~A=35,~P=17+\sqrt{149}}$

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3 years ago

From compound interest-Class 10.Suntali deposited Rs 9000 altogether in her saving account and fixed deposit account in a bank.S

Katarina [22]

Answer:

Step-by-step explanation:

Step-by-step explanation:

Year 1 - You earn interest on your Principal.

Year 2 - You earn interest on your (Principal + Interest of Year 1).

Year 3 - You earn interest on your (Principal + Interest of Year 1 + Interest of Year 2).

Compound interest is the basis of long-term growth of the stock market. It forms the basis of personal savings plans. Compound interest also affects inflation.

Types of Compound Interest

There are generally two types of compound interest used.

Periodic Compounding - Under this method, the interest rate is applied at intervals and generated. This interest is added to the principal. Periods here would mean annually, bi-annually, monthly, or weekly.

Continuous Compounding - This method uses a natural log-based formula and calculates interest at the smallest possible interval. This interest is added back to the principal. This can be equalled to the constant rate of growth for all natural growth. This figure was born out of physics. It uses Euler’s number which is a famous irrational number which is known to more than 1 trillion digits of accuracy. Euler’s number is denominated by the letter “E”.

Periodic Compound Interest Formula Overview

There are two formulas you can use to calculate compound interest, depending on what result you wish to find out. You can find out the following:

The total value of the deposit.

The total compound interest earned.

Value of the Deposit

Formulas can be a deterrent to many. If you aren’t savvy with math, your eyes turn away from these codes or just skip them altogether. But once it’s explained, it’s pretty simple to understand. To calculate the total value of your deposit, the formula is as follows:

P (1+ i/n)nt

P = Principal invested.

i = Nominal Rate of Interest.

n = Compounding Frequency or number of compounding periods in a year.

t = Time, meaning the length of time the interest is applicable, generally in years.

Simply put, you calculate the interest rate divided by the number of times in a year the compound interest is generated. For instance, if your bank compounds interest quarterly, there are 4 quarters in a year, so n = 4. This result must be multiplied to the power of the deposit period. For example, if your deposit is for 10 years, t = 10. This whole result should be multiplied by the principal you invested. The result generated will equal the total accumulated value of your deposit. You can find out how much your deposit is worth currently after accumulating interest.

Total Compound Interest Earned

To find out how much interest was earned, you can use the following formula for Compound Interest.

P[(1+ i/n))nt-1]

Compound Interest Equation and Calculation

To understand the compound interest equation further, we can break it down in simpler terms. If you decide to invest in a fixed deposit with compound interest, this is how you will earn interest every year.

Period Deposit Balance

Investment P

Year 1 P + iP

Year 2 (P+ iP) + i(P+iP)

To collapse this formula, we can pull out factors of (1+i). Simply substitute iP with (1+i) to get the following:

Period Deposit Balance

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3 years ago