Write an equation in point-slope form of the line that passes through the point (4,7) and has a slope of -1.

Triangle ABC is a right triangle with lengths shown. What is the decimal value of cos A? Round the answer to the nearest hundred

yulyashka [42]

In order to solve this, you must learn the rhyme SOH-CAH-TOA
As formulas it is
S stands for sine, C stands for cosine, and T for tangent
For now you are trying to solve for cosine. The AH stands for adjacent over hypotenuse.
So find Angle A and look for the side closest to it, but not the longest side. This has a length of 22 and can be identified as the adjacent side.
Next, the one with the length of 122 can be labeled as your hypotenuse since it is the longest side of a triangle.
You can now plug the numbers in:
$cos \frac{22}{122}$
This comes out to .9999950472
In this case we can round to the nearest hundreth
Answer is 1.00

4 0

2 years ago

Does anyone know the answer ASAP! Please and Thankyou!

aniked [119]

Answer:

m=-2 and b=3

Step-by-step explanation:

One way to find slope is to use rise over run (most useful when there is a graph). First find any two points along the line where it intersects with a point on the grid. (1,1); (2,-1) and (3,-3) are some examples. Then count how many spaces vertically and then horizontally it takes to get to the next point. In this case it is two spaces down (rise) and 1 space right (run). So rise/run = 2/1 =2. That is your slope. Because it is pointing downwards or decreasing we know it is a negative slope.

The y-intercept is just where the line intercepts with the y-axis. In other words, when x=0 what does y equal? Here it is 3.

8 0

2 years ago

Find the 9th term 1, 3/2, 9/4

Pie

Answer:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

2

3

2

3

gives the next term. In other words,

a

n

=

a

1

⋅

r

n

−

1

a

n

=

a

1

⋅

r

n

-

1

.

Geometric Sequence:

r

=

2

3

r

=

2

3

This is the form of a geometric sequence.

a

n

=

a

1

r

n

−

1

a

n

=

a

1

r

n

-

1

Substitute in the values of

a

1

=

1

2

a

1

=

1

2

and

r

=

2

3

r

=

2

3

.

a

n

=

(

1

2

)

⋅

(

2

3

)

n

−

1

a

n

=

(

1

2

)

⋅

(

2

3

)

n

-

1

Apply the product rule to

2

3

2

3

.

a

n

=

1

2

⋅

2

n

−

1

3

n

−

1

a

n

=

1

2

⋅

2

n

-

1

3

n

-

1

Multiply

1

2

1

2

and

2

n

−

1

3

n

−

1

2

n

-

1

3

n

-

1

.

a

n

=

2

n

−

1

2

⋅

3

n

−

1

a

n

=

2

n

-

1

2

⋅

3

n

-

1

Cancel the common factor of

2

n

−

1

2

n

-

1

and

2

.

Tap for more steps...

a

n

=

2

n

−

2

3

n

−

1

a

n

=

2

n

-

2

3

n

-

1

Substitute in the value of

n

to find the

n

th term.

a

5

=

2

(

5

)

−

2

3

(

5

)

−

1

a

5

=

2

(

5

)

-

2

3

(

5

)

-

1

Simplify the numerator.

Tap for more steps...

a

5

=

8

3

(

5

)

−

1

a

5

=

8

3

(

5

)

-

1

Simplify the denominator.

Tap for more steps...

a

5

=

8

81

a

5

=

8

81

Step-by-step explanation:

3 0

2 years ago

Use the equation v=10/p to determine the pressure when the volume is 12 liters

Alex777 [14]

V = 10/p
12 = 10/p
10/12 = 5/6 or 0.83 (3 repeating)
so p = 5/6 or 0.83 (3 repeating)

3 0

3 years ago

Read 2 more answers

Of 800 cars that drove on a street during a week, 0.75% exceeded the 25 miles per hour speed limit by more than 10 miles per hou

Murljashka [212]

.0075 * 800 = 6 cars

5 0

3 years ago

Read 2 more answers