All categories

2 years ago

Given L(-4, 3) and M(-7, -2), what is the length of segment LM?

Mathematics

1 answer:

kati45 [8]2 years ago

4 0

Answer:

$d = \sqrt{34}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

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

Step-by-step explanation:

Step 1: Define

Point L (-4, 3)

Point M (-7, -2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]: $d = \sqrt{(-7+4)^2+(-2-3)^2}$
Add/Subtract: $d = \sqrt{(-3)^2+(-5)^2}$
Exponents: $d = \sqrt{9+25}$
Add: $d = \sqrt{34}$

You might be interested in

If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor of 4, what is the equation of the new function

navik [9.2K]

Please write x^2, not x2.

If you stretch the graph of y=x^2 vertically by a factor of 4, the resulting graph represents the quadratic function y = 4x^2. It's still a parabola, but appears to be thinner.

This particular question is about horizontal stretching, however. Stretching the graph horizontally by a factor of 4 results in the new function g(x) = (x/4)^2. Try graphing x^2 and also (x/4)^2 on the same set of axes to observe this phenomenon.

3 0

3 years ago

Read 2 more answers

Choose the system of equations which matches the following graph:

Furkat [3]

3x-5y=25 i hope this helps

8 0

3 years ago

Read 2 more answers

Five times the difference of a number and 12 minus 4 times the same number is – 36. What is the equation?

frez [133]

Step-by-step explanation:

let number be x

5x = 12

12 - 4x = -36

4 0

2 years ago

Read 2 more answers

The Hudson family is saving for a

Lera25 [3.4K]

The amount of money that Hudson will need to save each week is $106.25.

<h3>How to calculate the value?</h3>

From the information, they determine that the trip will cost $3,200. Mr. and Mrs. Hudson have already set aside $1,500 for the trip.

Let the amount saved each week be represented as w.

Based on the information given, this will be illustrated as:

1500 + 16w = 3200

Collect like terms

16w = 3200 - 1500

16w = 1700

Divide

w = 1700 / 16

w = 106.25

The amount is $106.25.

Learn more about money on:

brainly.com/question/24373500

#SPJ1

4 0

1 year ago

Sketch the graph of the given function. Then state the function’s domain and range. f(x)= 1/2(5)^x+3

balandron [24]

Answer:

Graph of the following function is attached with the answer.

Domain : ( - ∞ , + ∞ )

Range : ( 3 , + ∞ )

Step-by-step explanation:

$f(x)=\frac{1}{2}x^{2}+3$

Domain of any quadratic equation is from negative infinity to positive infinity under no restrictions.

So, Domain : ( - ∞ , + ∞ )

The Range of any function can be calculated easily if there is just one term with variable. The method to find Range by that method is explained with the example as follows:

Range of x : ( - ∞ , + ∞ )
Range of $\textrm{x}^{2}$ : [ 0 , + ∞ ) as every square number is more than or equal to zero.
Range of $\frac{1}{2}\textrm{x}^{2}$ : [ 0 , + ∞ ) as 0/2 = 0 and ∞/2 = ∞.
Range of $\frac{1}{2}\textrm{x}^{2}+3$ : [ 3 , + ∞ ) as 0 + 3 = 3 and ∞ + 3 = ∞.

Therefore the Range of $\mathbf{f(x)\boldsymbol=\frac{1}{2}x^{2}\boldsymbol+3}$ is [ 3 , + ∞ )

(NOTE : [a,b] means all the numbers between 'a' and 'b' including 'a' and 'b'.

(a,b) means all the numbers between 'a' and 'b' excluding 'a' and 'b'.

(a,b] means all the numbers between 'a' and 'b' including only 'b' not 'a'.

[a,b) means all the numbers between 'a' and 'b' including only 'a' not 'b'.

{a,b} means only 'a' and 'b'.

{a,b] or (a,b} doesn't mean anything. )

8 0

3 years ago