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3 years ago

How do you wright 19,266,420 using words

Mathematics

2 answers:

Gemiola [76]3 years ago

8 0

Nineteen million, two hundred sixty-six thousand, four hundred twenty! :)

Harlamova29_29 [7]3 years ago

5 0

In word form, the answer would look like this: Nineteen million two hundred sixty six thousand four hundred twenty.

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Solve the system of equations. y= 3x y= x2-10

svetoff [14.1K]

Answer:

(-5, 2) and (2, 6)

Step-by-step explanation:

Use the substitution method. We know that y = 3x and y = x^2 - 10, so we can set them equal to one another.

3x = x^2 - 10

x^2 - 3x - 10 = 0

Use the quadratic equation to solve for x.

x = - 5, 2

Now solve for y using these two values of x by substituting it back into the equations.

y = - 15, 6

In coordinate form, (-5, 2) and (2, 6)

7 0

3 years ago

3. Show that a circle with equation (x−2)^2+(y+3)^2=160 has two tangent lines with equations

Pepsi [2]

Answer:

see below

Step-by-step explanation:

A graphing calculator shows each of the lines intersect the circle in exactly one place, so is tangent.

Each of the given lines is written in point-slope form. Each has a slope of 1/3. We will call the point in its equation the "reference point" of each line. For the first line, it is (6, -15); for the second line it is (-2, 9).

The center of the circle is (2, -3), so the slope from the center to the reference point of each line is ...

line 1: (-15 -(-3))/(6 -2) = -12/4 = -3

line 2: (9 -(-3))/(-2-2) = 12/-4 = -3

These slopes are the negative reciprocal of the slope of each of the lines, so a segment from the circle center to the reference point of each line is perpendicular to the line.

The reference point of line 1 (6, -15) is on the circle:

(6 -2)^2 +(-15 +3)^2 = 16 +144 = 160

The reference point of line 2 (-2, 9) is on the circle:

(-2-2)^2 +(9 +3)^2 = 16 +144 = 160

So, the reference point of each line is on the circle and that point is the endpoint of a segment from the circle center that is perpendicular to the line. Hence each of the lines is a tangent at its reference point.

6 0

3 years ago

Jose purchased 5.5 feet of rope to hang a planter on the back porch.The planter required a set of 3 ropes measuring 18 inches ea

Soloha48 [4]

You have to multiply 18 by three which is 54 inches.
then you have to divide 54 by 12 because a foot is 12 inches.
when you do that you should get 4.5
then you subtract 4.5 by 5.5 and get 1 foot of rope left
18*3=54
54/12=4.5
5.5-4.5=1.0
1 foot of rope

3 0

3 years ago

What are the real or imaginary solutions of the polynomials x4 -52x2 + 576 = 0

Tatiana [17]

-4,4,-6,6 is your answer

6 0

3 years ago

What is the radius of the circle x² + y² = 9y - 11?

Murljashka [212]

Answer:

$\sqrt{ 37/2$