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3 years ago

Lesson 15 understand systems of equations

1 answer:

5 0

Is there supposed to be a attached file? Or are you confused about the topic in general. I can help if need be. I’ll start off with saying that a system of equation is two equations that either have infinite, no, or one solution. This solution makes x true for both equations. x will be the same value for each equation.

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. In a class of 40 students, 8 are in the drama club and 12 are in the art club. If a student is selected at random, what is the

Levart [38]

Answer:

so the probability of selected student is in the drama club is 1/5

Step-by-step explanation:

total students = 40

drama club= 8

art club= 12

we have to find probability of drama club

P (drama) = favorable outcome / total outcome

= 8 / 40

= 1/ 5

so the probability of selected student is in the drama club is 1/5

4 0

4 years ago

Please help me

Hitman42 [59]

By using algebra properties and trigonometric formulas we find that the trigonometric expression $\frac{1}{1 - \sin x} - \frac{1}{1 + \sin x}$ is equivalent to the trigonometric expression $\frac{2\cdot \tan x}{\cos x}$ .

<h3>How to prove a trigonometric equivalence by algebraic and trigonometric procedures</h3>

In this question we have trigonometric expression whose equivalence to another expression has to be proved by using algebra properties and trigonometric formulas, including the fundamental trigonometric formula, that is, cos² x + sin² x = 1. Now we present in detail all steps to prove the equivalence:

$\frac{1}{1 - \sin x} - \frac{1}{1 + \sin x}$ Given.

$\frac{1 + \sin x - 1 + \sin x}{1 - \sin^{2}x}$ Subtraction between fractions with different denominator / (- 1) · a = - a.

$\frac{2\cdot \sin x}{\cos^{2}x}$ Definitions of addition and subtraction / Fundamental trigonometric formula (cos² x + sin² x = 1)

$\frac{2\cdot \tan x}{\cos x}$ Definition of tangent / Result

By using algebra properties and trigonometric formulas we conclude that the trigonometric expression $\frac{1}{1 - \sin x} - \frac{1}{1 + \sin x}$ is equal to the trigonometric expression $\frac{2\cdot \tan x}{\cos x}$ . Hence, the former expression is equivalent to the latter one.

To learn more on trigonometric equations: brainly.com/question/10083069

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4 0

2 years ago

Cristian put a large rock on the bottom of the terrarium he made for his pet turtle. The rock is a right rectangular prism 10cm

wel

Answer:

I'm not sure man I rly need points sry

5 0

2 years ago

Read 2 more answers

Ben’s average velocity is

Delvig [45]

What kind of question is this? and where is the data

4 0

3 years ago

How do you solve 5 3/7 ÷ 5/11

Artyom0805 [142]

Answer:

11 33/35

Step-by-step explanation:

5 3/7 = 5 × 7/7 + 3/7 = 35 + 37 = 38/7

38/7 ÷ 5/11 = 38/7 × 11/5 = 38 × 11/7 × 5 = 418/35

418/35 = 11 33/35

Hope this helps!

6 0

4 years ago