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kompoz [17]
3 years ago
13

Identify whether the given numbers belongs to the given set. Natural Numbers Whole Numbers Integers Rational Numbers − 11 2.45 1

− 11/7
Mathematics
1 answer:
Orlov [11]3 years ago
8 0

Answer:

− 11   Integers

2.45  Rational Number

1      Natural Number ( whole number)

− 11/7   Rational Number

Step-by-step explanation:

Natural numbers are numbers which are positive numbers i.e these do not include negative numbers and can be counted such as 1,2,3,4,5------ .Natural numbers do not include a zero.

Whole numbers are natural numbers but these include a zero e.g 0,1,2,3,4,5------

Integers are whole numbers but can be negative as well.

Rational Numbers are numbers in the form of p/q where q ≠0

− 11   Integers

2.45  Rational Number

1      Natural Number ( whole number)

− 11/7   Rational Number

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Triangle ABC has been rotated 90° to create triangle DEF. Write the equation, in slope-intercept form, of the side of triangle A
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the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1

<h3>How to determine the equation</h3>

From the figure given, we can deduce the coordinates of the sides

For A

A ( 4,2)

For B

B ( 4, 5)

C ( 1, 2)

D ( 2, -4 )

E  ( 5, -4)

F ( 2, -1)

The slope for BC

Slope = \frac{y2 - y1}{x2 - x1}

Substitute the values for both B and C coordinates, we have

Slope = \frac{2- 5}{1 - 4}

Find the difference for both the numerator and denominator

Slope = \frac{-3}{-3}

Slope = 1

We have the rotation for both point ( 0, 1)

y - y1 = m ( x - x1)

The values for y1 and x1 are 1 and 0 respectively and the slope m is 1

Substitute the values

y - 1 = 1 ( x - 0)

y - 1 = x

Make 'y' the subject of formula

y = x + 1

Thus, the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1

Learn more about linear graphs here:

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4 0
2 years ago
Find the slope of the line whose equation is y - 4x = 8.
zavuch27 [327]
The slope is -4. This is because of slope intercept form, y=mxtb. M= the slope so the slope in this case is -4
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a rectangle whose perimeter is 68 ft has a length that is 8 ft longer than its width. what is the area of the rectangle
VARVARA [1.3K]
the area of the rectangle is 544
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Describe some main differences between an Euler graph and a tree graph.
posledela

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The Obvious

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3 0
3 years ago
Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of
satela [25.4K]

Answer:

The position P is:

P = 87\^x + 75\^y ft     <u><em> Remember that the position is a vector. Observe the attached image</em></u>

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity s_0 is:

y(t) = y_0 + s_0t -16t ^ 2

Where y_0 is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

s_0 = 82sin(58\°) ft/sec

s_0 = 69.54 ft/sec

Thus

y(t) = 69.54t -16t ^ 2

The height after 2 sec is:

y(2) = 69.54 (2) -16 (2) ^ 2

y(2) = 75\ ft

Then the equation that describes the horizontal position of the ball is

X(t) = X_0 + s_0t

Where

X_ 0 = 0 for this case

s_0 = 82cos(58\°) ft / sec

s_0 = 43.45 ft/sec

So

X(t) = 43.45t

After 2 seconds the horizontal distance reached by the ball is:

X (2) = 43.45(2)\\\\X (2) = 87\ ft

Finally the vector position P is:

P = 87\^x + 75\^y ft

6 0
3 years ago
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