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2 years ago

What is the distance between (-4,6) and (3,-7)

Mathematics

1 answer:

melomori [17]2 years ago

6 0

(-7 , 13) is the distance

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A car goes from rest to 50 m/s in 5 seconds. What is the acceleration?

AVprozaik [17]

The acceleration is 10 because 50 divided by 5 is 10.

3 0

2 years ago

A block of ice has a square top and bottom and rectangular sides. At a certain point in

Lilit [14]

Answer:

$\frac{dV}{dt} = 360 \ cm^3/h$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Geometry

Volume of a Rectangular Prism: V = lwh

Calculus

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h$

Step 2: Differentiate

Rewrite [VRP]: $V = l^2h$
Differentiate [Basic Power Rule]: $\frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}$

Step 3: Solve for Rate

Substitute: $\frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)$
Multiply: $\frac{dV}{dt} = 360 \ cm^3/h$

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

3 0

2 years ago

Simplify:9-1÷2÷27^2÷3

sammy [17]

First let's calculate the exponents.

$27^2 : 729 = 9-1\div \:2\div \:729\div \:3$

Now we should multiply and divide.

$1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}$

Now we should add and subtract.

$9-\frac{1}{4374} :\frac{39365}{4374} = \frac{39365}{4374}$

Convert the improper fractions into mixed numbers.

$8\frac{4373}{4374}$

Answer :

$8\frac{4373}{4374}$

5 0

2 years ago

Ben has typed 180 and can type 30 words per minute. Millie has typed 60 and can type 50 words per minute. How many minutes will

Alex17521 [72]

about 2 minutes

hope this helps

4 0

2 years ago

Need help???! Explanation too please

Natalija [7]

Answer:

When X=Y every number on either side is the same, for example 1(X)=1(Y)

Step-by-step explanation:

This is because when X=Y the X value isn't altered in any way to equal Y, so they are the same number, hope this helped!

4 0

3 years ago