Solve the simultaneous equations. 3x-y=1, 2x + 5y = 41

Find the distance between the pair of points.

SVEN [57.7K]

Answer:

Distance is $\sqrt{290}$ units

Step-by-step explanation:

Use the distance formula which is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ where $d$ is the distance between points $(x_1,y_1)$ and $(x_2,y_2)$

We are given that $(x_1,y_1)$ is $(-6,-23)$ and $(x_2,y_2)$ is $(-23,-24)$ , therefore the distance between the two points is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(-23-(-6))^2+(-24-(-23))^2}$

$d=\sqrt{(-23+6))^2+(-24+23))^2}$

$d=\sqrt{(-17)^2+(-1)^2}$

$d=\sqrt{289+1}$

$d=\sqrt{290}$

Therefore, the distance between $(-6,-23)$ and $(-23,-24)$ is $\sqrt{290}$ units.

3 0

2 years ago

You roll a fair number cube. What is the likelihood you will land on a number greater than 4?

Alekssandra [29.7K]

Answer:

1/3

Step-by-step explanation:

There are 6 faces on a number cube.

We know that 2 of those faces are greater than 4.

So,

2 out of 6 faces=2/6=1/3

7 0

3 years ago

A and b are positive integers and a−b=2. Evaluate the following: 3^b/3^a

Lerok [7]

Answer:

The answer is 1/9.

Step-by-step explanation:

Using the equation a-b=2, we can solve that a = 2+b.

We can then substitute that into the expression given to get 3^b/3^(2+b).

Since they have the same base, we can subtract the exponents from the numerator and denominator to get 3^(b-2-b) which simplifies to 3^-2.

3^-2 is simply 1/9.

8 0

3 years ago

Read 2 more answers

Using suitable properties find -1/2 x 4/3 - 3/4 + 1/2 x -3/5 pls answer fast

Sveta_85 [38]

Answer:Lcm we will get: 

 2 2 3 4 2 5 

 3 1. 3. 2. 1. 5

 5. 1 1 2. 1 5

 2. 1. 1. 1. 1. 1

LCM=15×4=60

3 0

3 years ago

Plzzzzzzzzzzzzzz Hlep me

chubhunter [2.5K]

area = 7×2+7×2+11×2 = 50sq ft

8 0

3 years ago

Solve the simultaneous equations.3x-y=1, 2x + 5y = 41​

Solve the simultaneous equations.3x-y=1, 2x + 5y = 41