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kicyunya [14]
3 years ago
12

The equation sec2x- 1 = tan2x is an identity O O A. True B. False

Mathematics
1 answer:
creativ13 [48]3 years ago
3 0

Answer:

A. True.

Step-by-step explanation:

I am assuming that it's

sec^2 x - 1 = tan^2 x

Now sec^2 x - 1  = 1 / cos^2 x - 1

= (1 - cos^2 x) / cos^2 x

But 1 - cos^2 x = sin^2 x

so sec^2 x - 1 = sin^2 x / cos ^2 x

= tan^2 x.

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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everyth
crimeas [40]

The inequality described can be written as:

y < 3x + 2.

<h3>How to get the inequality?</h3>

First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:

y < line.

The linear equation is of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = \frac{y_2 - y_1}{x_2 - x_1}

Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:

a = \frac{2 - (-7)}{0 - (-3)} = 9/3 = 3

And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:

y < 3x + 2.

If you want to learn more about inequalities:

brainly.com/question/2516147

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8 0
2 years ago
Evaluate the problem <br>​
m_a_m_a [10]

Answer:

-2

Step-by-step explanation:

  1. Log_{2}\frac{1}{4} = -2

I hope this helps!

3 0
2 years ago
Read 2 more answers
The ratio of flutes to saxophone players in the school band is 6:4 if there are 50 total students how many saxophone players are
nasty-shy [4]
There are 20 saxophone players. For every 6 flutes there are 4 saxophones so if you do 6x5=30. Then you would do 4x5 and get 20. 30 flutes plus 20 saxophones = 50 total students
3 0
2 years ago
Read 2 more answers
In a study, researchers wanted to measure the effect of alcohol in the development of the hippocampal region in adolescents. The
lbvjy [14]

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Sample size, n = 30

Tcritical value = 2.045

Null hypothesis :

H0: μ = 9.08

Alternative hypothesis :

H1: μ≠ 9.08

Sample mean, m = 8.25

Samole standard deviation, s = 1.67

Test statistic : (m - μ) ÷ s/sqrt(n)

Test statistic : (8.25 - 9.08) ÷ 1.67/sqrt(30)

Test statistic : - 0.83 ÷ 0.3048988

Test statistic : - 2.722

Tstatistic = - 2.722

Decision region :

Reject Null ; if

Tstatistic < Tcritical

Tcritical : - 2.045

-2.722 < - 2.045 ; We reject the Null

Using the α - level (confidence interval) 0.05

The Pvalue for the data from Tstatistic calculator:

df = n - 1 =. 30 - 1 = 29

Pvalue = 0.0108

Reject H0 if :

Pvalue < α

0.0108 < 0.05 ; Hence, we reject the Null

4 0
2 years ago
Give the domain, range, intercepts, asymptotes, intervals of increasing and decreasing, intervals of positive and negative, symm
klemol [59]
y = \frac{3}{x^{2} - 4} + 1

Domain: x² - 4 ≠ 0
                 + 4 + 4
                    x² ≠ 4
                 √x² ≠ √4
                    x ≠ ±2
           x ≠ -2 and x ≠ 2
     (-∞, -2) ∨ (-2, 2) ∨ (2, ∞)

Range: y ≠ 1
    (-∞, 1) ∨ (1, ∞)

Intervals: Increasing: (0.25 , ∞)
              Decreasing: (-∞, 0.25)

Symmetry: X-axis: Not Symmetric
                  Y-axis: Not Symmetric
                  Origin: Not Symmteric

Extrema: Maximum Relative: x = 0
                Minimum Relative: Nothing
3 0
2 years ago
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