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2 years ago

Use the points (0, 4) and (-2, 3) to find the slope of the line and give the equation of this line.

Mathematics

1 answer:

Sauron [17]2 years ago

6 0

Answer:

Choice C: $m=\frac{1}{2}; y=\frac{1}{2} x+4$

Step-by-step explanation:

To find your slope do:

$\frac{y^2-y^1}{x^2-x^1}$

$\frac{3-4}{-2-0}=\frac{-1}{-2} =\frac{1}{2}$

that's how you get 1/2

4 is just the y-int.

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DanielleElmas [232]

Answer:

Step-by-step explanation:

Given expression is,

$\text{cot}A=\frac{1}{2}(\text{cot}\frac{A}{2}-\text{tan}\frac{A}{2})$

To prove this identity we will take the right side of the identity,

$\frac{1}{2}(\text{cot}\frac{A}{2}-\text{tan}\frac{A}{2})=\frac{1}{2}(\frac{1}{\text{tan}\frac{A}{2}}-tan\frac{A}{2})$

$=\frac{1}{2}(\frac{1-\text{tan}^2\frac{A}{2}}{tan\frac{A}{2}})$

$=\frac{1}{2}[\frac{2(1-\text{tan}^2\frac{A}{2})}{2tan\frac{A}{2}}]$

$=\frac{1}{2}(\frac{2}{\text{tan}A} )$ [Since $\text{tan}A=\frac{2\text{tan}\frac{A}{2}}{1-\text{tan}^2\frac{A}{2}}$ ]

= cot A

Hence right side of the equation is equal to the left side of the equation.

3 0

3 years ago

Can someone help me please

polet [3.4K]

the answer is A

see attached picture:

4 0

3 years ago

Solve the right triangle

tresset_1 [31]

SR =sin (angle) = opposite leg/ hypotenuse

sin(52) = SR/ 7.6

SR = 7.6 x sin(52)

SR = 5.988 ( round answer as needed.)

QR = cos(angle) = adjacent leg / hypotenuse

Cos(52) = QR/ 7.6

QR = 7.6 x cos(52)

QR = 4.679. ( round answer as needed).

Angle S = 180 - 90 -52 = 38 degrees

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3 years ago

Annie writes the numbers 1 through 10 on note cards. She flips the cards over so she cannot see the number and selects three car

Kay [80]

<h2>The probability that Annie has selected the cards numbered 1, 2, and 3 is $(\frac{1}{720} )$ </h2>

Step-by-step explanation:

Here, the total number of cards in the set = 10

The cards are numbered as 1,2,3,4,5,...., 10

P(Any event E) = $\frac{\textrm{Total favorable events}}{\textrm{Total number of events}}$

P(picking a card with number 1) = $\frac{\textrm{Total cards with number 1 on it}}{\textrm{Total cards}} = (\frac{1}{10})$

Now when the first card is picked, the number of cards left = 10 - 1 = 9

P(picking a card with number 2) = $\frac{\textrm{Total cards with number 2 on it}}{\textrm{Total cards}} = (\frac{1}{9})$

Similarly, P(picking a card with number 3) = $\frac{\textrm{Total cards with number 3 on it}}{\textrm{Total cards}} = (\frac{1}{8})$

So, the total probability that she has selected card with number 1, 2 and 3

= $(\frac{1}{10} ) \times (\frac{1}{9} ) \times (\frac{1}{8} ) = (\frac{1}{720} )$

Hence, the probability that she has selected the cards numbered 1, 2, and 3 is $(\frac{1}{720} )$

4 0

3 years ago

Read 2 more answers

HELP PLEASE. Which regression equation best fits these data?

AlladinOne [14]

Answer:

B. y = -0.58x^2 -0.43x +15.75

Step-by-step explanation:

The data has a shape roughly that of a parabola opening downward. So, you'll be looking for a 2nd-degree equation with a negative coefficient of x^2. There is only one of those, and its y-intercept (15.75) is in about the right place.

The second choice is appropriate.

_____

The other choices are ...

A. a parabola opening upward

C. an exponential function decaying toward zero on the right and tending toward infinity on the left

D. a line with negative slope (This might be a good linear regression model, but the 2nd-degree model is a better fit.)

7 0

3 years ago

Read 2 more answers

Use the points (0, 4) and (-2, 3) to find the slope of the line and give the equation of this line.​

Use the points (0, 4) and (-2, 3) to find the slope of the line and give the equation of this line.