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swat32
3 years ago
10

Does there exist a function that is not a relation

Mathematics
1 answer:
Setler79 [48]3 years ago
4 0
No, a function is always a relation. A relation may not always a function but the vice versa is true.

It's like the relationship between a rectangle and a square. A rectangle has 4 right angles and 2 sets of congruent sides while a square has 4 right angles and all sides are congruent. Which means that a rectangle is a square, but a square may not always be a rectangle.
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A room has an area of 60 square meters and a perimeter of 32 meters. What are the length and width of the room?
Dominik [7]

Answer:

6 and 10

Step-by-step explanation:

xy=60

2(x+y)=32

x+y=16

y=16-x

Substitute y into area equation

x(16-x)=60

16x-x^2=60

x^2-16x+60=0

(x-10)(x-6)=0

x=10, 6

y=6, 10

6 0
2 years ago
How to find the percentage that is not shaded on the grid?
Lostsunrise [7]
There's no question lol
3 0
3 years ago
Please help. Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact valu
o-na [289]

Answer:

Area = (18 + 4.5π) cm²

Perimeter = (6√2 + 12 + 3π) cm

Step-by-step explanation:

The shaded region given is made up of triangle ABC and a semicircle

AB = BC = 6 cm (note that the triangle is a portion of a square)

Diameter of semi-circle (d) = BC = 6cm

Radius (r) = ½*6 = 3 cm

==>Area of the shaded region in terms of π

Area of shaded region = area of triangle + area of semicircle

Area = ½*a*b + ½*πr²

Area = ½*6*6 + ½*π3²

Area = 18 + ½*π9

Area = 18 + 4.5π

<em>Area of the shaded portion = (18 + 4.5π) cm²</em>

==>Perimeter of shaded region in terms of π

Perimeter of shaded region = perimeter of triangle + perimeter of semicircle

= Sum of all sides of the triangle + ½πd

Sides of triangles are AB = 6 cm, BC = 6 cm

Use Pythagorean theorem to find side AC:

AC² = AB² + BC²

AC² = 6² + 6² = 36 + 36 = 72

AC = √72 cm

Perimeter of shaded triangle = √72 + 6 + 6 = √72 + 12 = (6√2 + 12) cm

Perimeter of semicircle = ½*πd = ½π6

= 3π

<em>Perimeter of the whole shaded region in terms of π = (6√2 + 12 + 3π) cm</em>

<em></em>

3 0
3 years ago
find the coordinates of p so that p partitions segment ab in the part to whole ratio of 1 to 4 with a(-5,4) and b(7,-4)
scoray [572]

Answer:

p(x,y) = (-2.6 ,2.4)

Step-by-step explanation:

Given

a(-5,4) and b(7,-4)

Required

Partition P

Given that the segment ab is divided into ratio;

The coordinates of point p can be calculated using ratio formula given below

p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n})

Where m and n are the ratio; m = 1 and n = 4

(x_1, y_1) = (-5,4); \\(x_2, y_2) = (7,-4)

So,

p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n}) becomes

p(x,y) = (\frac{1 *7 + 4 * -5}{1+4} ,\frac{1 * -4 + 4 * 4}{1+4})

p(x,y) = (\frac{7 + -20}{5} ,\frac{-4 + 16}{5})

p(x,y) = (\frac{-13}{5} ,\frac{12}{5})

p(x,y) = (-2.6 ,2.4)

Hence, the coordinates of p are (-2.6,2.4)

3 0
3 years ago
At the end of a year, the gross debt of a country stood at about $17 trillion. Express this amount
Maru [420]
56,105.61 is the answer rounded to the nearest hundred
5 0
3 years ago
Read 2 more answers
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