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3 years ago

Given two parallel lines cut by a transversal with

Mathematics

1 answer:

Svetllana [295]3 years ago

4 0

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Your friend surveyed 100 people who took either vitamin C, zinc, or Echinacea supplements to prevent getting a cold. The partici

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Answer:

2 people's 2222222222222222

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3 years ago

3x3 + 9x2 - 15x What's the answer

eimsori [14]

Answer:

3x(x^2+3x-5) - factorised

Step-by-step explanation:

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3 years ago

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Write the statement for the problem in mathematical language. Use x for the tens digit and y for the unit digits in the two digi

Nutka1998 [239]

Answer:

Step-by-step explanation:

A two-digit number (xy) will have the value 10x+y. The sum of its digits is x+y.

You want ...

10x +y = 2(x +y)

1 ≤ x ≤ 9

0 ≤ y ≤ 9

The equation can be simplified to ...

8x = y

The only single-digit values for x and y that satisfy the requirements are ...

x = 1, y = 8

The two-digit number of interest is 18.

_____

Check

Its sum of digits is 1+8 = 9. 2×9 = 18.

_____

Comment on the relationship in the problem

Many of us learned our multiplication tables for 9s by remembering that the sum of digits of 9n was 9, and that the leading digit of the product was n-1.

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3 years ago

Find all points on the x-axis that are 14 units from the point (4, -7).

BaLLatris [955]

Answer:

The points are: (16.12,0),(-8.12,0).

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

Distance between two points:

Suppose we have two points, $(x_1,y_1)$ and $(x_2,y_2)$ . The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Find all points on the x-axis that are 14 units from the point (4, -7).

Being on the x-axis mean that they have y-coordinate equal to 0, so the point is (x,0).

The distance is 14. So

$\sqrt{(x-4)^2+(0-(-7))^2} = 14$

$\sqrt{x^2 - 8x + 16 + 49} = 14$

$\sqrt{x^2 - 8x + 65} = 14$

$(\sqrt{x^2 - 8x + 65})^2 = 14^2$

$x^2 - 8x + 65 - 196 = 0$

$x^2 - 8x - 131 = 0$

So $a = 1, b = -8, c = -131$

$\bigtriangleup = (-8)^{2} - 4(1)(-131) = 588$

$x_{1} = \frac{-(-8) + \sqrt{588}}{2} = 16.12$

$x_{1} = \frac{-(-8) - \sqrt{588}}{2} = -8.12$

The points are: (16.12,0),(-8.12,0).

4 0

3 years ago

If four out of ten people vote, then in a town with two hundred thousand people, how many will vote?

ch4aika [34]

80,000 people in the town will vote.

3 0

4 years ago

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