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3 years ago

Whats the defination of area in math

2 answers:

5 0

Area is the area<span> of a flat, or plane figure is the number of unit squares that can be contained within it. The unit square is usually some standard unit, like a square meter, a square foot, or a square inch</span>

Leokris [45]3 years ago

4 0

Area is the measure of the amount of space that something takes up.

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an airplane flies in the path shown by the vector line UV on the graph below. what is the magnitude and direction of line UV? (1

GaryK [48]

The magnitude and direction of line UV is 19.7° South of West for 8.1 miles

<h3>How to find the magnitude of the vector line UV?</h3>

The magnitude of the vector line UV is given by the length of the line UV,

d = √[(x₂ - x₁)² + (y₂ - y₁)²] where

(x₁, y₁) = (2, 3) and
(x₂, y₂) = (-2, -4)

Substituting the values of the variables intot he equation, we have

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(-2 - 2)² + (-4 - 3)²]

d = √[(-4)² + (-7)²]

d = √[4² + 7²]

d = √[16 + 49]

d = √65

d = 8.06 miles

d ≅ 8.1 miles

So, the magnitude of vector line UV is 8.1 miles

<h3>How to find the direction of the vector line UV</h3>

The direction of the vector line UV is given by Ф = tan⁻¹[(y₂ - y₁)/(x₂ - x₁)] where

(x₁, y₁) = (2, 3) and
(x₂, y₂) = (-2, -4)

Substituting the values of the variables into the equation, we have

Ф = tan⁻¹[(y₂ - y₁)/(x₂ - x₁)]

Ф = tan⁻¹[(-4 - 3)/(-2 - 2)]

Ф = tan⁻¹[(-7)/(-4)]

Ф = tan⁻¹[7/4]

Ф = tan⁻¹[1.75]

Ф = 60.26°

Ф ≅ 60.3°

Its bearing from the north-south line is α = 90° - Ф

= 90° - 60.3°

= 19.7°

So, its direction is 19.7° South of West

So, the magnitude and direction of line UV is 19.7° South of West for 8.1 miles

Learn more about vectors here:

brainly.com/question/26700114

#SPJ1

4 0

2 years ago

Inimum value of y=4x^2+4x-35?

murzikaleks [220]

Hello there!

There are two ways to find the minimum value of this function, but before I show you how, I am going to teach you a little bit about minimum value.

The minimum value on a parabola is the vertex or turning point. This means that the slope of the tangent line is horizontal, having a slope of 0.

The algebraic way to find the minimum or maximum value on a parabola is to use the formula -b/2a. Let's do it...

y=4x^2+4x-35
where a=4, b=4, and c=-35
-b/2a
-4/2(4)
-4/8
-1/2

Now let me show you the other way...
Take the derivative of
y=4x^2+4x-35
y'=8x+4
And set it equal to 0...
8x+4=0
8x=-4
x=-1/2

We got the same answer. Now that we know x=-1/2, plug this into the original equation to find y.
y=4x^2+4x-35
y=4(-1/2)^2+4(-1/2)-35
y=-1-2-35
y=-38

So the minimum point on this parabola is (-1/2,-38)

I really hope th

8 0

2 years ago

Which is the length of the third side of the right triangle?

Nostrana [21]

Answer:

The side opposite the right angle is the hypotenuse. The Pythagorean theorem is used to solve for the length of the hypotenuse. If a right triangle has legs measuring a and b with hypotenuse c, the Pythagorean theorem is a² + b² = c². Solving for c is as simple as taking the square root of both sides of the equation.

6 0

3 years ago

What is the value of Z?

jasenka [17]

Answer:

Step-by-step explanation:

2(z)+2 = 4

2z = 2 x 2 = 4

5 0

2 years ago

HELPPPPP PLZZZZZZZZZZ

lianna [129]

Answer:

a. one

b. three

c. eleven

Step-by-step explanation:

just count the dots ??

6 0

2 years ago

Read 2 more answers