Mathematics High School

the segment joing C and D (-0.6, -0.8) is the tangent to the unit circle at D. what is the exact value of...

1. sin(t - 2pi)

2. tan(t + pi)

3. tan(t - 2pi)​

The Segment Joing C And D (-0.6, -0.8) Is The Tangent To The Unit Circle At D. What Is The Exact Value

Answers

Answer 1

Answer:

Tan(t+pi) = 3

Step-by-step explanation:

First let's find the slope of the line through the points  and  

Note:  is the first point . So this means that x%5B1%5D=-2 and y%5B1%5D=0.

Also,  is the second point . So this means that x%5B2%5D=0 and y%5B2%5D=3.

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.

m=%283-0%29%2F%280--2%29 Plug in y%5B2%5D=3, y%5B1%5D=0, x%5B2%5D=0, and x%5B1%5D=-2

m=%283%29%2F%280--2%29 Subtract 0 from 3 to get 3

m=%283%29%2F%282%29 Subtract -2 from 0 to get 2

So the slope of the line that goes through the points  and  is m=3%2F2

Now let's use the point slope formula:

y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula

 

y-0=%283%2F2%29%28x--2%29 Plug in m=3%2F2, x%5B1%5D=-2, and y%5B1%5D=0

y-0=%283%2F2%29%28x%2B2%29 Rewrite x--2 as x%2B2

y-0=%283%2F2%29x%2B%283%2F2%29%282%29 Distribute

y-0=%283%2F2%29x%2B3 Multiply

y=%283%2F2%29x%2B3 Simplify

So the equation that goes through the points  and  is y=%283%2F2%29x%2B3

Notice how the graph of y=%283%2F2%29x%2B3 goes through the points  and . So this visually verifies our answer.

Graph of y=%283%2F2%29x%2B3 through the points  and

Related Questions

Complete the square in order to solve the following quadratic equation:

x^2 + 6x = −2

Answers

To complete square one is basically doing
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2

or
a
2
−
2
a
b
+
b
2
=
(
a
−
b
)
2
We can see that
x
2
=
a
2
and
2
a
b
=
6
x
So all we need to condense this into
(
a
+
b
)
2
is a
b
2
term
We know that
2
b
=
6
as
x
=
a

so
b
=
3

and
b
2
=
9
So if we put the
b
2
term in we get
x
2
+
6
x
+
9
−
9
=
(
x
+
3
)
2
−
9
We include the
±
9
because we have to net add nothing to the equation so
9
−
9
=
0
so we really haven't added anything

I dont know how to do this pls help me ​

Answers

Answer:

5) x = 0.75

6) x = 12

Step-by-step explanation:

5)

Use geometric mean of altitude

[tex]12 = \sqrt{x^2 * 16^2} \\12^2 = x^2 * 16^2\\144 = 256x^2\\x = 0.75[/tex]

6)

Use geometric mean of legs

[tex]60^2 = \sqrt{(36+x)^2+36^2} \\3600 = (36+x)^2 + 36^2\\x=12[/tex]

Help me please!! ;okxjda.sdfajskndmf

Answers

Answer:

133

Step-by-step explanation:

2(_9)^2=162

3(-9)=-27

2(-9)^2 +3(-9)-2= 162-27-2=133

Mrs. Jones bakes 100 cookies. She is going to split them into groups of 5 to sell at a bake sale. Which equation shows how many bags she will need? Use b for bags.

Answers

Answer:

100/5=b

Step-by-step explanation:

do 100 divided by 5 then that will be your answer, b

Copy the shape and fill in the missing angle. Sow the work. Thanks.

Answers

Answer:

The first triangle can be solved using the triangle sum theorem.

There is a vertical angle, so 75 is the angle at the bottom left. 45 is also a vertical angle. Now we have 75+45+x=180, where x is the missing angle. x is 60.

A straight line = 180 degrees, so 60+79+y, where y is unknown, is equal to 180. y is 41. Now use the triangle sum theorem for the triangle to the right. 41+68+z, where z is unknown, = 180. Z is 71.

Now the last part is to find the question mark. A straight line is 180 degrees, so  71+"?" is 180. Simplify to find that "?" is 109.

solve the system of equations by adding. check your answer.​

Answers

Answer:

x+12y=40

Step-by-step explanation:

the question itself says by adding

what is the volume of a cylinder when the radius is 3 and height is 7

Answers

Answer:

63pi

Step-by-step explanation:

the formula for the volume of a cylinder is pi r^2 h

r=radius

h=height

3=r

7=h

pi((3)^2)7

63pi units^3

Hope that helps :)

Answer:

197.92

Step-by-step explanation:

To find the volume of a cylinder use V=πr2h.

Then fill in the equation with known information

V=π(3²)(7)

V= 197.92

If there are any units your answer will need them.

which value of x is a solution of 8> (x-6)-2

Answers

Answer:

The answer is x < 16.

Step-by-step explanation:

1) Remove parentheses.

[tex]8 > x - 6 - 2[/tex]

2) Simplify x - 6 - 2 to x - 8.

[tex]8 > x - 8[/tex]

3) Add 8 to both sides.

[tex]8 + 8 > x[/tex]

4) Simplify 8 + 8 to 16.

[tex]16 > x[/tex]

4) Switch sides.

[tex]x < 16[/tex]

Therefor, the answer is x > 16.

The answer is x is equal to 16

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Answers

Answer:

34.12

Step-by-step explanation:

Plug in the given value (36) for the variable x. Given the order of operations, multiply 36 x 0.80 (which equals 28.8) and add 5.32 (which makes the answer 34.12)

Please does anyone know the answer to this question??

Answers

9514 1404 393

Answer:

  126°

Step-by-step explanation:

To find the exterior angle, we need to know one of the acute angles. Those are found using the fact that they are complementary.

  (5x -6) +(3x) = 90

  8x = 96 . . . . . . . . . . . add 6, collect terms

  x = 12 . . . . . . . . . . . . . divide by 8

  3x° = 3·12° = 36° . . . . . . find the "remote" acute angle

  exterior angle = 90° +36°

  exterior angle = 126°

__

The exterior angle is the supplement of the one marked (5x-6)°. It is also the sum of the two remote interior angles, 90° and 3x°. Being lazy, we figure that 90 +3·12 is easier to compute than 180 - (5·12 -6). Either way, the exterior angle is 126°.

3x +11+7x
Pls help I want to learn this​

Answers

Answer:

3x +7x +11=10x+11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Group like terms:

=3x+7x+11

Add similar elements: 3x+7x=10x

=10x+11

Is 121,031 divisible by 3?

Answers

Yes but you get a decimal answer

Please help me with this please!!

Answers

9514 1404 393

Answer:

  135°

Step-by-step explanation:

In order to answer the question, we must assume that the black lines are parallel to each other.

The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.

  ∠2 +∠8 = 180°

  15x +5x = 180°

  x = 180°/20 = 9°

  ∠2 = 15x = 15(9°) = 135°

Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.

  ∠3 = 135°

Which equation represents a line which is parallel to the line 4x-5y=30

Answers

this question is incomplete

Whats y=18x pls helppp

Answers

Linear Equations & Functions -

Basically, this equation is meant for functions and graphing functions.

[tex]y = 18 \times \: x[/tex]

x,y

2,36

5,90

You could also use this to find the slope:

y1-y2

--------

x1-x2

:

-54

-----

-3

=18

You could also graph it.

Find value of X

Thank you

Answers

Answer:

x = 98

Step-by-step explanation:

If angle D is the center then

x + 4 = 2 × (x - 47)

x + 4 = 2x - 94

4 + 94 = 2x - x

98 = x

help me pls thank u <3

Answers

The correct answer is A

Consider the sequence of numbers: , , 1StartFraction 3 Over 8 EndFraction, StartFraction 3 Over 4 EndFraction, 1 and StartFraction 1 Over 8 EndFraction, 1 and StartFraction 1 Over 8 EndFraction, 1 and StartFraction 7 Over 8 EndFraction. . ., 1 , 1, . . . Which statement is a description of the sequence? The sequence is recursive, where each term is StartFraction 1 Over 4 EndFraction greater than its preceding term. The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus StartFraction 3 Over 8 EndFraction.. The sequence is arithmetic, where each pair of terms has a constant difference of StartFraction 3 Over 4 EndFraction. The sequence is arithmetic and can be represented by the function f(n + 1) = f(n)f of n plus 1 equals f of n plus left parenthesis StartFraction 3 Over 8 EndFraction right-parenthesis..

Answers

Answer:

The answer is "The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus 3 Over 8 .." or B

Step-by-step explanation:

The sequence is recursive and can be represented by the function will be f(n + 1) = f(n) + 3/8.

What is an arithmetic sequence?

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

3/8, 3/4, 1 ¹/₈, 3/2, 1 ⁷/₈, ......

Convert the mixed fraction number into a fraction number. Then we have

3/8, 3/4, 1 ¹/₈, 3/2, 1 ⁷/₈, ......

3/8, 3/4, 9/8, 3/2, 15/8, ........

The first term of the arithmetic sequence is 3/8. And the common difference of the arithmetic sequence will be given as,

d = 3/4 - 3/8

d = 6/8 - 3/8

d = (6 - 3)/8

d = 3 / 8

The sequence is recursive and can be represented by the function will be f(n + 1) = f(n) + 3/8.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

What is the measure of ZC? *

Answers

the answer is d) 70°
hope this helps!

Answer:

∠ C = 70°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles to obtain ∠ C , that is

∠ C = 180° - (70 + 40)° = 180° - 110° = 70°

The product of five times p and seven times q is

Answers

Answer:

Step-by-step explanation:

(5p)(7q)=35pq

Answer:

The product of five t imes p and 7 times q is just:

5p(7q), which is 42pq

Let me know if this helps!

What is the slope-intercept equation for this
standard form equation?

(Y-intercept needs to be positive)-

(Giving Brainliest for Correct Answer-)

6x - 3y = 12

Answers

Answer:

Y = 2x - 4

Slope is 2.

Y-intercept is -4.

Step-by-step explanation:

To find slope in standard form, take -A/B. So 6 is A, -3 is B. -(6/-3) = 2.

And to find the y-int, take C/B. C is 12. So, 12/-3 = -4.

Or you could also rearrange the equation. . .

6x - 3y = 12.Subtract 6 from both sides. -3y = -6x + 12Divide by -3 to isolate the y. y = 2x - 4.

HELLP ILL GIVE BRAINLYEST Each side of a square classroom measures 23 feet. The teacher wants to put a border around the top of the classroom that costs $1.12 per foot. How much will the border cost?

Answers

Answer:

Step-by-step explanation:

4(23ft)($1.12/ft)=$103.04

I need Help!! Please Help me!! I will give Brainliest!!!
Try it! Find the percent of change. Round to the nearest percent if necessary.
1) 10 inches to 25 inches. 2) 57 people to 65 people.

Answers

Answer:

1.  150%                     2.  14%

Step-by-step explanation:

A rectangular prism has a length of 12 inches, a height of 16 inches, and a width of 20 inches. What is its volume, in cubic inches?

Answers

Answer:

3,840

Step-by-step explanation:

Answer:

The volume is 3840

Step-by-step explanation:

12 times 16 times 20. L x W x H

What is the slope of y = -4x – 3

Answers

Answer:

-4

Step-by-step explanation:

bc the equation is y=mx+b and m is y/x so -4

f(x)= 3x^2

g(x) =7x+4

f(g(4))=____

Answers

G(4)=7(4)+4
G(4)=28+4
G=32
F(32)= 3(32)^2
F= 9216
f(g(4))= 9216

What is the volume of the prisms below?
What equation would you use for the last picture?

Answers

Answer:

8) 131.118in^3

9) 18cm^3

Step-by-step explanation:

8) Volume of the prism = Length * Width * height

Volume of the prism = 4.1in * 8.2in * 3.9in

Volume of the prism = 131.118in^3

Hence the volume of soil that will fill the prism is 131.118in^3

9)  Volume of the triangular prism = Base Area * Height of prism

Base  Area = 1/2bh

Base  Area = 1/2 * 4 * 3

Base Area = 6cm^2

Height of the prism  = 3cm

Volume of the prism = 6cm^2 * 3cm

Volume of the prism = 18cm^3

3-4(12 divided by 6)

Answers

Answer:

The answer is -2

Step-by-step explanation:

First we divide 12 by 6.

12/6 = 2

Next we subtract 3 by 4.

3 - 4 = -1

Now we solve.

-1 * 2 = -2

So, the answer is -2.

Hope this helps! :)

Answer:

3

Step-by-step explanation:

Do 12/6 first and you get 2 and then you do 3-4 and you get 1

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.

Answers

Answer:

n=42, m=42[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The side opposite the 30° angle is half the size of the hypotenuse. So, 84/2=42. Now, the side opposite the 60° angle is shown as 84/2 · [tex]\sqrt{3}[/tex], which is the same as 42√3.

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Answers

Answer:

(-2,-3)

Step-by-step explanation:

A=(8,-5)

M=(3,-4)

The difference between them is that m is 5 to the left and 1 up. We need to do the same thing to find B.

B=(-2,-3)

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