Find the measure of each exterior angle of a regular decagon?

Solve the inequality for w.

ahrayia [7]

Answer

Example 1 Solve for x and check: x + 5 = 3

Solution

Using the same procedures learned in chapter 2, we subtract 5 from each side of the equation obtaining

Example 2 Solve for x and check: - 3x = 12

Solution

Dividing each side by -3, we obtain

Step-by-step explanation: here is your anserw the let me know if it right

8 0

3 years ago

lisa sold 81 magazine subscriptions, which is 27% of her class fundraising goal. how many magazine subscriptions does her class

olya-2409 [2.1K]

300 because You have to multiply 81 times 100 and then divide by 27

6 0

3 years ago

︎help me please ineed answer asp thankyou

Arisa [49]

Answer:

Look below

Step-by-step explanation:

I'm going to use B as my example to explain: B (-3,4)

You are going to need to draw a coordinate plane. When drawing the X axis, you want the highest X point to be 6 due to the fact that that is your highest x value. Then you want the lowest X point to be -6. Same will apply with the Y axis.

Next you are going to put a point in the middle of the plane which is called the origin (0,0).

Going from the origin, you want to follow the x axis the get to -3 which will be going left since its negative. Then since the Y axis is vertical, you are going to go up 4 times since the 4 is positive.

Then start from the origin for the next point being C (-5,4), Remember to always start from the origin.

5 0

3 years ago

What is the equation of the line that passes through the pont (6,2) and has a<br> of -2/3

ss7ja [257]

Answer: y

=

−

2

3

x

+

2

Explanation:

Given that we have the slope and a point on the graph we can use the point slope formula to find the equation of the line.

Point-Slope Formula:

y

−

y

1

=

m

(

x

−

x

1

)

, where

m

is the slope of the line and

x

1

and

y

1

are x and y coordinates of a given point.

We can summarize the information already given:

m

=

−

2

3

x

1

=

6

y

1

=

−

2

Using this information, we can substitute these values onto the point-slope formula:

y

−

(

−

2

)

=

−

2

3

(

x

−

(

6

)

y

+

2

=

−

2

3

(

x

−

6

)

The equation above is the equation of the line in point-slope form. If we wanted to have the equation in

y

=

m

x

+

b

form then we simply solve the equation above for

y

+

2

=

−

2

3

x

+

12

3

y

+

2

−

2

=

−

2

3

x

+

12

3

−

2

y

=

−

2

3

x

+

12

3

−

2

(

3

)

y

=

−

2

3

x

+

12

3

−

6

3

y

=

−

2

3

x

+

6

3

y

=

−

2

3

x

+

2y

=

−

2

3

x

+

2

Explanation:

Given that we have the slope and a point on the graph we can use the point slope formula to find the equation of the line.

Point-Slope Formula:

y

−

y

1

=

m

(

x

−

x

1

)

, where

m

is the slope of the line and

x

1

and

y

1

are x and y coordinates of a given point.

We can summarize the information already given:

m

=

−

2

3

x

1

=

6

y

1

=

−

2

Using this information, we can substitute these values onto the point-slope formula:

y

−

(

−

2

)

=

−

2

3

(

x

−

(

6

)

y

+

2

=

−

2

3

(

x

−

6

)

The equation above is the equation of the line in point-slope form. If we wanted to have the equation in

y

=

m

x

+

b

form then we simply solve the equation above for

y

+

2

=

−

2

3

x

+

12

3

y

+

2

−

2

=

−

2

3

x

+

12

3

−

2

y

=

−

2

3

x

+

12

3

−

2

(

3

)

y

=

−

2

3

x

+

12

3

−

6

3

y

=

−

2

3

x

+

6

3

y

=

−

2

3

x

+

2

Step-by-step explanation:

8 0

3 years ago

Simplify the rational expression t^2=2t-24/t^2-36 and state any restrictions on the variable

timama [110]

Answer:

t - 4

—————

t - 6

Step-by-step explanation:

t2 + 2t - 24

Simplify ————————————

t2 - 36

Trying to factor by splitting the middle term

Factoring t2 + 2t - 24

The first term is, t2 its coefficient is 1 .

The middle term is, +2t its coefficient is 2 .

The last term, "the constant", is -24

Multiply the coefficient of the first term by the constant 1 • -24 = -24

Find two factors of -24 whose sum equals the coefficient of the middle term, which is 2 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5

-6 + 4 = -2

-4 + 6 = 2 That's it

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 6

t2 - 4t + 6t - 24

Add up the first 2 terms, pulling out like factors :

t • (t-4)

Add up the last 2 terms, pulling out common factors :

6 • (t-4)

Step-5 : Add up the four terms of step 4 :

(t+6) • (t-4)

Which is the desired factorization

Trying to factor as a Difference of Squares :

1.2 Factoring: t2-36

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 36 is the square of 6

Check : t2 is the square of t1

Factorization is : (t + 6) • (t - 6)

Canceling Out :

Cancel out (t + 6) which appears on both sides of the fraction line.

8 0

3 years ago