All categories

2 years ago

Y = -4/3x − 1 y = 1/3x + 4

Mathematics

1 answer:

Tom [10]2 years ago

7 0

Answer:

x = -3, y =3

Step-by-step explanation:

y = -4/3x - 1

y = 1/3x + 4 -------> 4y = 4/3x + 16

Adding the first equation and the new second equation together:

5y = 15 ------> y = 3

Plug y = 3 into one of the original equations:

3 = 1/3x + 4

-1 = 1/3x

x = -3

You might be interested in

How to get 100 by multiplying 12

Reptile [31]

You multiply 12x8.3 and get the answer 100

5 0

2 years ago

Read 2 more answers

Convert 65 mm to meters

Ymorist [56]

0.065 meters is equal to 65 millimeters

7 0

3 years ago

how much must you deposit in an account that pays 8% annual interest compounded monthly to have a balance of $1,000 after one ye

strojnjashka [21]

Answer:

$\$923.36$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=1\ year\\ A=\$1,000\\ r=0.08\\n=12$

substitute in the formula above and solve for P

$\$1,000=P(1+\frac{0.08}{12})^{12*1}$

$P=\$1,000/(1+\frac{0.08}{12})^{12*1}=\$923.36$

5 0

3 years ago

In triangle ABC, angle bisectors line AD, line BE, and line CF meet at I. If DI = 3, BD = 4, and BI = 5, then compute the area o

Nikitich [7]

The area of triangle ABC is the amount of space on the triangle

The area of the triangle is 54.84 square units

<h3>How to determine the area of triangle ABC</h3>

Start by drawing the triangle (see attachment)

Next, calculate the measure of angle B using the following tangent ratio

$\tan(B/2) = \frac 34$

This gives

$\tan(B/2) = 0.75$

Take the arc tan of both sides

$B/2 = 36.87$

Multiply by 2

$B = 73.74$

Next, calculate the length of side AD using the following equation

$AD = \tan(B) * BD$

This gives

$AD = \tan(73.74) * 4$

$AD =13.71$

The area of the triangle is then calculated as:

$Area = AD * BD$

This gives

$Area = 13.71 * 4$

$Area = 54.84$

Hence, the area of the triangle is 54.84 square units