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2 years ago

What is the slope of a line perpendicular to the line whose equation is 4x−10y=404x−10y=40. Fully simplify your answer.

Mathematics

1 answer:

Anna007 [38]2 years ago

5 0

Answer:

$- \frac{5}{2}$

Step-by-step explanation:

4x -10y= 40

Let's rewrite this equation in the slope-intercept form (y= mx +c) so that we can obtain it's slope.

10y= 4x -40

Divide both side by 10:

$y = \frac{2}{5} x - 4$

The product of the gradients of perpendicular lines is -1.

⅖(gradient of line)= -1

Gradient of perpendicular line

$= - 1 \div \frac{2}{5}$

$= - 1 \times \frac{5}{2}$

$= - \frac{5}{2}$

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zheka24 [161]

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3 years ago

Jackson is playing a game of chance where he must randomly draw a marble out of a jar. He calculates the probability of drawing

Sindrei [870]

Using complementary events, considering a $\frac{1}{4}$ probability of drawing a red marble, the probability of not drawing a red marble is of $\frac{3}{4}$ .

<h3>What are complementary events?</h3>

They are mutually exclusive events which have the sum of their probabilities as 1.

In this problem, we consider that there is a $\frac{1}{4}$ probability of drawing a red marble, and since drawing a red marble and drawing a non-red marble are complementary events, we have that:

$\frac{1}{4} + p = 1$

$p = \frac{3}{4}$

The probability of not drawing a red marble is of $\frac{3}{4}$ .

More can be learned about complementary events at brainly.com/question/9752956

8 0

2 years ago

What is the sum of the exterior angles of a convex polygon?

Volgvan

Answer:

Step-by-step explanation:

The sum of the exterior angles for each polygon is always 360°.

The sum of the interior angles for each polygon is always 180°(n-2).

If you have n-sided convex polygon, then

$\left(\text{Sum of all interior angles}\right)+ \left(\text{ Sum of all exterior angles}\right)=180^{\circ}\cdot n$

So,

$\left(\text{Sum of all interior angles}\right)+ 180^{\circ}\cdot (n-2)=180^{\circ}\cdot n\\ \\\left(\text{Sum of all interior angles}\right)=180^{\circ}\cdot n-180^{\circ}\cdot (n-2)=180^{\circ}\cdot (n-n+2)=360^{\circ}$