How can you rewrite square root 2

What is the slope of a line that is perpendicular to the line that goes through (5,4) and (-2,-3)?

Snowcat [4.5K]

First, let us solve for the slope of the line which it intersects with:

m’ = (y2 – y1) / (x2 – x1)

m’ = (-3 – 4) / (-2 – 5)

m’ = 1

The slope of the perpendicular line is the negative reciprocal, therefore:

m = - 1 / m’

m = - 1 / 1

m = -1

<span>So the slope of the line is -1.</span>

3 0

3 years ago

Share £56 in the ratio 1:3:4

Rus_ich [418]

First u do 1+3+4 which gives u 8...then divide it from the number 56 which gives u 7..then after do (multiplication) 1*7= £7...then 3*7=£21 and then 4*7=£28....ur answer is £7.00, £21.00 and £28.00.....to check them if it's right u could do 7+21+28 which gives u exactly £56.00...so yap hope this helped u :)

3 0

4 years ago

A taxi charges a pick-up fee p!us a charge per mile. Maria paid $15.00 for a 7 mile rode. To my paid $19.50 for a 10 mile ride.

lukranit [14]

Answer:

The y-intercept in coordinate form is (0, 4.5) and represents the taxi pick-up fee. The equation is y=1.5x + 4.5.

Step-by-step explanation:

This question is asking for the slope and y-intercept of a linear equation. A linear equation makes a straight line based on a constant rate of change. For this problem, the cost per mile is the slope, while the independent variable 'x' is the number of miles and the dependent variable 'y' is the total cost. In order to first find slope, you need to use the two points given (7, 15) and (10, 19.5) to set up a change in y / change in x, or (19.5-15)/(10-7) or 4.5/3 which is 1.5. So the slope, or cost per mile is $1.50. To find the y-intercept (b), or the cost of the pick-up fee, simply fill in your equation y=1.5x + b with your other variables and solve for 'b'. So, 15 = (1.5 x7) + b. or 15 = 10.5 +b, subtract 10.5 from both sides of the equation to get b=4.5.

5 0

4 years ago

Solve this system of equations algebraically: y x = 19 – x2 x y = 80 1. Isolate one variable in the system of equations. Y = –x2

miskamm [114]

System of equations helps to solve real-life problems. The system of equations will not have no solution.

<h3>What is a System of the equation?</h3>

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

The two of the system of equations given to us are,

$y+x=19-x^2$

$x+y = 80$

Now,

1. The first step is to isolate one variable in the system of equations,

$y=19-x^2-x$

$y=80-x$

2. The second step is to substitution to create a one-variable equation.

$80-x=19-x^2-x\\x^2-x+x=19-80\\x^2 = -61$

Now, since the value of x is the negative square root. therefore, the system of equations will not have a real number of solutions.

If we plot the two equations on the graph, then the line of the system of equations will not intersect any point, therefore, the system of equations will have no solution.

Hence, the system of equations will not have no solution.

Learn more about the System of the equation:

brainly.com/question/12895249

6 0

3 years ago

Find the LCM and GCF for 30 and 48.

AlladinOne [14]

LCM is 240

GCF is 6

<em>long explanation</em>

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

LCM(a,b) = ( a × b) / GCF(a,b)

We will now calculate the prime factors of 30 and 48, than find the greatest common factor (greatest common divisor (gcd) of the numbers by matching the biggest common factor of 30 and 48.

Step-1: Prime Factorization of 30

30 = 2^1 × 3^1 × 5^1

Step-2: Prime Factorization of 48

48 = 2^4 × 3^1

Step-3: Factors of 30

1, 2, 3, 5, 6, 10, 15

Step-4: Factors of 48

1, 2, 3, 4, 6, 8, 12, 16, 24

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30 and 48. The biggest common factor number is the GCF number.

So the greatest common factor 30 and 48 is 6.

7 0

3 years ago