All categories

3 years ago

Six million three thousand twenty-one

Mathematics

2 answers:

zaharov [31]3 years ago

8 0

6,003,021 is your answer

Vlada [557]3 years ago

5 0

Of course six million three thousand twenty-one/6,003,021 XD

You might be interested in

Line M passes through points (2,-5) and (4, -3). Line N passes through points (-4, -8) and (-6,-6). Are lines M and N perpendicu

melamori03 [73]

Answer:

Yes, the lines are perpendicular because the product of their slopes equals -1 ⇒ B

Step-by-step explanation:

The product of the slopes of the perpendicular lines is -1

So to prove that the lines are perpendicular let us find their slopes

The rule of the slope is:

$m=\frac{y2-y1}{x2-x1}$ , where (x1, y1) and (x2, y2) are two points on the line

∵ Line M passes through points (2, -5) and (4, -3)

∴ x1 = 2 and x2 = 4

∴ y1 = -5 and y2 = -3

→ By using the rule of the slope above

∴ $m=\frac{-3-(-5)}{4-2}=\frac{-3+5}{2}=\frac{2}{2}$

∴ The slope of line M is 1

∵ Line N passes through points (-4, -8) and (-6, -6)

∴ x1 = -4 and x2 = -6

∴ y1 = -8 and y2 = -6

→ By using the rule of the slope above

∴ $m=\frac{-6-(-8)}{-6-(-4)}=\frac{-6+8}{-6+4}=\frac{2}{-2}$

∴ The slope of line N is -1

∵ 1 × -1 = -1

∴ The product of the slopes of lines M and N is -1

∴ Lines M and N are perpendicular

∴ Yes, the lines are perpendicular because the product of their

slopes equals -1.

6 0

3 years ago

In a class of 30 students, 12 have a brother and 25 have a sister. There are 2 students who do not have any siblings. What is th

Debora [2.8K]

12 I think , actually I am not sure about this , if it is wrong count on me

4 0

3 years ago

A circle has a diameter of 14cm Work out the circumference of this circle. Give your answer in terms of 3.14 and state it's unit

Karolina [17]

C = 14π cm ( in terms of π )

the circumference (C) of a circle is calculated using the formula

C = πd ( where d is the diameter )

C = 14π cm ≈ 3.14 × 14 - 43.96 cm

3 0

3 years ago

Find the LCM of x2 + x,x2-1,x2-x

Katen [24]

Answer: x(x+1)(x-1)

Step-by-step explanation:

x²+x=x(x+1)

x²-1=(x+1)(x-1)

x²-x=x(x-1)

ans:x(x+1)(x-1)

Step-by-step explanation:

3 0

2 years ago

A border of uniform width is placed around a rectangular photograph that measures 8 inches by 10 inches. If the area of the bord

amid [387]

Answer:

width of the border is 3 inches

Step-by-step explanation:

Given data

size = 8 inches by 10 inches

area = 144 square inches

to find out

width of the border

solution

first we consider width of border is x

area of new full rectangle = (8 + 2x ) × ( 10 + 2x )

so we know area of photo = 8 × 10 = 80 square inches

and area of border = 144 square inches that is given

so new area of photo with the border is 80 + 144 = 224 square inches

and we can say that

area of full rectangle - area of the photograph = Area of Border

(8 + 2x) × (10 + 2x) – (80) = 144 square inches

80 + 16x + 20x + $4x^{2}$ – 80 = 144

$4x^{2}$ + 36x – 144 = 0

solve thios equation we get

$2x^{2}$ + 9x – 36 = 0

solve thios equation we get

(x + 12) (x – 3) = 0

so here x have two value one is negative and other is positive

so we consider only positive value

x = -12 or x = 3

width of the border is 3 inches

7 0

3 years ago