Prove the following relations: 1) (1 - cos²A) (1 + tan²A) = tan²A​

We are given a line and a point, I assume that we want to see if the point is on the line or not.

We will see that the point does not belong to the line.

First, let's find the equation of the line.

A general line can be written as:

y = a*x + b

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

If the line passes through points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we know that our line passes through the points (-2, 4) and (1, -9). Then the slope is:

[tex]a = \frac{4 - (-9)}{-2 - 1} = \frac{13}{-3} = -\frac{13}{3}[/tex]

Then our line is something like:

[tex]y = -\frac{13}{3} *x + b[/tex]

To find the value of b, we can use one of the two points that we know that are on the line.

For example, the point (-2, 4) means that when x = -2, we must have y = 4.

Replacing that in the equation we get:

[tex]4 = -\frac{13}{3} *(-2) + b\\\\4 = \frac{26}{3} + b\\\\4 - \frac{26}{3} = b\\\\\frac{-14}{3} = b[/tex]

Now we can write the line equation as:

[tex]y = -\frac{13}{3} *x - \frac{14}{3}[/tex]

Now we need to see if the point (14, -6) belongs to the line.

To see this, we evaluate the line in x = 14.

[tex]y = -\frac{13}{3} *14 - \frac{14}{3} = -\frac{196}{3}[/tex]

This is different than -6, so the point does not belong to the line.

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The rate of change is 2.

good luck :)

Step-by-step explanation:

a+b = 33

a-b = 27

______+

2a = 60

a = 30

b = 33-30 = 3

so, the numbers are : 30 and 3

Answer:

[tex]x \geqslant 2 \: \: \: \: or \: \: \: \: 2 \leqslant x \\ [/tex]

Step-by-step explanation:

[tex] - 6 \geqslant 10 - 8x \\ - 6 - 10 \geqslant - 8x \\ - 16x \geqslant - 8x \\ \frac{ - 16}{ - 8} \leqslant x \\ 2 \leqslant x[/tex]

Answer:

x ≥ 2

Step-by-step explanation:

-6 ≥ 10 - 8x

=> 8x - 6 ≥

=> 8x ≥ 10 + 6

=> 8x ≥ 16

=> x ≥ 16/8

=> x ≥ 2

Answer: 65

Step-by-step explanation:

all angles of a triangle will add up to be 180 degrees there for add 80 + 35 to get 115 degrees and then subtract 115 from 180(180-115) to get the third angle of 65 degrees

Answer:

65

Step-by-step explanation:

80+35+?=180

115+?=180

115-115+?=180-115

?=65

Answer:   (P.s its very hard to write special characters here, i hope this helped though)

((−6d0)(g−3))(h2)

d−5m3g−2h5

=

−6d5g2h2

g3h5m3

=

−6d5

gh3m3

Answer:

C. The y-intercept is (0, 150). Diego has $150 before buying any

Step-by-step explanation:

Brainlylist

The correct statement is The y-intercept is (0, 150). Diego has $150 before buying any games.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

(0, 150) and ( 1, 112.50)

Now, slope= (112.50-150)/1

slope= -37.5

So, the equation of line is

y- 150= -37.5( x- 0)

y= -37.5x+ 150

Hence, The y-intercept is (0, 150). Diego has $150 before buying any

games.

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Answer:

x < 4 is the solution.

I hope this helps!

Answer:

The answer is x<4. I hope this helps!

Answer:

4 C

Step-by-step explanation:

Always include the steps and/or background required to get to the final answer. Let’s help other people understand and solve future problems on their own.

Answer:

3 x 10 to the 6th power

Step-by-step explanation:

To solve, divide the amount of cells in the human body by the population of north Carolina:

[tex]\frac{3*10^1^3}{1*10^7} = \frac{30000000000000}{10000000} = 3000000 = 3*10^6[/tex]

Answer:

N=12

Step-by-step explanation:

Using the binomial probability relation, the probability of the following events are :

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

Probability of exactly 5 :

P(x = 5) = 8C5 × 0.75^5 × 0.25^3

P(x = 5) = 0.2076

2.) Probability of selecting more than 5 :

P(x > 5) = p(6) + p(7) + p(8)

Using a binomial probability calculator :

P(x > 5) = 0.6785

3.)

Probability at most 5 :

P(x ≤ 5) = p(0) + p(1) + p(2) + p(3) + p(4) + p(5)

Using a binomial probability calculator :

P(x ≤ 5) = 0.3215

Therefore, the probability of selecting at most 5 is 0.3215

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Answer:

So Y, which represents height, goes down depending on how far you are in time, which is X.

The slope of the graph represents the elevator's descent speed, calculated as 12 feet per second based on the points (1, 838) and (2, 826).

The Slope of the line in the graph represents the rate of change of height with respect to time, or the speed of the elevator's descent.

In this case, the slope can be calculated using the formula: slope = (change in height) / (change in time). We know that the elevator's height changes from 838 feet at 1 second to 826 feet at 2 seconds,

So, the change in height is : 838 - 826 = 12 feet, and the change in time is 2 - 1 = 1 second.

Therefore, the slope is 12 feet/second, this indicates that the elevator is descending at a speed of 12 feet per second.

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Answer:

it would be c >1

i hope this helps

Answer:

everbody help this guy

Step-by-step explanation:

Answer:

$29,375

Step-by-step explanation:

Find 17.5% of 25,000 and add it to 25,000 to get the total.

25,000x17.5% = 4,375

25,000 + 4,375 =

29,375.

Answer: 9 pieces of rope.

Answer:

0.5 g/cm^2

Step-by-step explanation:

Volume of the cube: Base * height

7 * 2 = 14 * 3 = 42 cm^2

Density of the cube: grams / cm^2

21 grams / 42 cm^2 = 0.5 g/cm^2

Answer:

Exact form:

x = √2, −√ 2

Demi cal form:

x=1.41421356…, −1.41421356…

Answer:

-2

Step-by-step explanation:

y2 - y1 / x2 - x1

7 - (-1) / -8 - (-4)

8/-4

= -2

Answer:

3x+1 = 5y+9=61

Step-by-step explanation:

All three of these angles are equal to each other as the figure is a pair of parallel lines with a line through the middle. This means that the angles opposite to each other are equal, thus 61 = 3x + 1. 5y+9 = 61 from the same definition as the lines are parallel. We can also find that it's equal to 61 as 180=119+5y+9.

Thus, x = 20 and y = 52/5

Answer:

8/19 would be the answer to this question.

I hope this helped you! :)

Answer:

8/19

Step-by-step explanation:

Given x, the reciprocal is 1/x.

Given 2 3/8, we first rewrite this as an improper fraction:  19/8, and then invert this result:  8/19

Answer:

0.5

Step-by-step explanation:

convert 2.4% to .024 just by moving it two spaces to the left!

(.024)(20) = .48

because your teacher may want it rounded to the nearest tenth, just round one up!

.48 ------> 0.5

comment or message me if you have questions :)

Answer:

0.5

Step-by-step explanation:

Answer:

58.08

Step-by-step explanation:

Answer:

58.08

Step-by-step explanation:

39.67+18.41=58.08

Answer:

'n plus 5 squared' is n + 25

Step-by-step explanation:

Note that "five squared" is 5^2, or 25.

Then 'n plus 5 squared' is n + 25.

Answer:

7 units

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

50 + 88= 132

in triangle abc,

132+L=180

L=48

Answer:

Independent: The number of Tickets

Dependent: The number of Josiah's friends

Step-by-step explanation:

The number of tickets is Independent because the number of tickets is something that is final. The number of Josiah's friends could change depending on if the friend come or not.