How will the solution of the system y > 2x + Two-thirds and y < 2x + One-third change if the inequality sign on both inequalities is reversed to y < 2x + Two-thirds and
y > 2x + One-third?

Since both cot(θ) and cos(θ) are positive, it follows that sin(θ) is also positive:

cot(θ) = cos(θ)/sin(θ) > 0   ===>   sin(θ) > 0

Recall the Pythagorean identity:

sin²(θ) + cos²(θ) = 1

Multiplying both sides by 1/sin²(θ) yields another form of the identity,

sin²(θ)/sin²(θ) + cos²(θ)/sin²(θ) = 1/sin²(θ)

1 + cot²(θ) = csc²(θ)

so that

csc(θ) = + √(1 + cot²(θ))

csc(θ) = √(1 + (3/2)²)

csc(θ) = √13/2

By definition of cosecant, we have

csc(θ) = 1/sin(θ)

so that

sin(θ) = 2/√13

Then using the Pythagorean identity once more, we have

cos(θ) = + √(1 - sin²(θ))

cos(θ) = √(1 - (2/√13)²)

cos(θ) = 3/√13

so that, by definition of secant,

sec(θ) = 1/cos(θ)

sec(θ) = √13/3

Step-by-step explanation:

(jk−1) ÷j

[(-4)(-0.8) -1] ÷ (-4)

=[ 3.2 -1] ÷ (-4)

=2.2 ÷ (-4)

= -0.55

The solution of the expression "[tex]\frac{jk-1}{j}[/tex]" is "-0.55".

The given values are:

→ [tex]\frac{jk-1}{j}[/tex]

By putting the value of "j" and "k" in the given expression, we get

→ [tex]\frac{(-4)(-0.8)-1}{-4}[/tex]

By solving the brackets, we get

→ [tex]\frac{3.2-1}{-4}[/tex]

→ [tex]\frac{2.2}{-4}[/tex]

→ [tex]-0.55[/tex]

Thus the above response is correct.

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Step-by-step explanation:

The first part of solving the area is multiplying the rectangle. So you do 15*18 which is 270. Then to solve a triangle you make it a square/rectangle. So it would be 8*15 which is 120. Because the length is the length of the rectangle and the width is shown on top. Then because it’s a rectangle not a triangle you divide by 2 because you were adding half to it when you were making it a rectangle. So it’s 120/2 which is 60. And 270+60 is 330. So the area is 330. To get the perimeter you add all the sides together. And because one of the sides is not added but half of the bottom line is the same length as the top so it would be 18+ the 8 on the top which is 26. So 15+18+17+26 is 76. So the perimeter is 76

So the answer is the bottom one. P=76 and A=330

Answer:

x=0

Step-by-step explanation:

2^2 + x - 4 = 0

2^2 = 4

4+x-4 = 0

Combine like terms

x=0

Answer:

The slope of (1,-11) should be 3 and the slope of (-2,-4) should be 0

Step-by-step explanation:

Actually im unsure please dont use this I thought I knew!

I have written the answers and the steps on a piece of paper.

Answer:

Equation 1 is:

Step-by-step explanation:

Answer:

8 x2 + 2x - 91

Step-by-step explanation:

56x2 + 4x -637

Answer:

option D is right answer

i.e. _

BC

Answer:

Yes

Step-by-step explanation:

Graph this function on your calculator and you will see an upwards graph, if the range (y), -1 can be mapped on the graph, it is within the range.

Answer:

[tex]p=36^{\circ}[/tex]

Step-by-step explanation:

We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is [tex]90^{\circ}[/tex].

Because all the angles of a triangle sum to [tex]180^{\circ}[/tex], we have that [tex]p+54+90=180[/tex].

We combine like terms on the left side to get [tex]p+144=180[/tex].

We subtract [tex]144[/tex] on both sides to get [tex]p=36[/tex].

So, [tex]\boxed{p=36^{\circ}}[/tex] and we're done!

Answer:

7/9

Step-by-step explanation:

4/9 + 1/3

*Multiply top and bottom by 3

4/9 + 3/9

= 7/9

Answer:

[tex]x = - \frac{1}{56} [/tex]

Step-by-step explanation:

-x/56x = 2

-1/56 = 2

x = -1/56

We have that  the fourth term of an arithmetic sequence is

a_4=14

Option C

From the question we are told

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

A) 78

B) 32

C) 14

(Explain your work)

Generally the equation for the  arithmetic sequence  is mathematically given as

[tex]a_4=a_1+(n-1)d[/tex]

Therefore

For seventh term

[tex]5=23+(6)d\\\\d=5-23/(6)\\\\d=-3[/tex]

Therefore

For Fourth term

[tex]a_4=23+(3*(-3))[/tex]

a_4=14

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Answer:

8 hours

Step-by-step explanation:

Number of pages read in 1hour = 403 / 13 = 31 pages

Time taken to read 248 page book = 31 x 8 = 248

It takes 8 hours to read 248 pages book

Answer:

i think its b.24 minutes

Step-by-step explanation:

sorry if im wrong

Answer:

Samantha spent 24 minutes on language arts.

Step-by-step explanation:

So, 60% = 3/5.

Since Samantha spent 40 minutes in total for homework, the 40 minutes would be the denominator. Let's have the variable "x" equal how many minutes she spent on language arts. If we line up the fractions, it will be like this:

3/5 = x/40

Since we know 5 x 8 = 40, we would also multiply the numerator by 8.

3 x 8 =24.

So, Samantha spent 24/40 minutes on ELA, which is 60% of the total time.

Answer:

165/11= 15

Step-by-step explanation:

I used a calculator

Answer:

C, D, G

Step-by-step explanation:

The Jeans dried due to a process called vaporization where water evaporates into the atmosphere into a steam like form, however this answer wasn't available so C, D, G would be your best bet.

Answer:

c , d , g ,

bcaz this three options r for sure correct

Answer:

Step-by-step explanation:

1.8 x 1.2 = 2.16

Answer:

the answer is C

Step-by-step explanation:

I had this test before

Answer:

true......................

Answer:

56

Step-by-step explanation:

Arithmetic mean is simply the sum of the all the number present divide by the total number.

From the question, we obtained the following information:

The arithmetic mean = 5.6

Total number present = 10

Sum of the numbers =?

Arithmetic mean = sum of the numbers / total number

Sum of the numbers = arithmetic mean x total number

Sum of the numbers = 5.6 x 10 = 56

The sum of the other four numbers is equivalent to -200.

Given is that the arithmetic mean of ten numbers is -10. The sum of six of the numbers is 100.

We can write -

{a + b + c + d + e + f + g + h + i + j}/10= - 10

{a + b + c + d + e + f + g + h + i + j} = - 10 x 10

{a + b + c + d + e + f + g + h + i + j} = - 100    .... Eq{1}

and

{a + b + c + d + e + f} = 100             .... Eq{2}

We can write Eq{1} as -

{a + b + c + d + e + f} + {g + h + i + j} = - 100

100 + {g + h + i + j} = - 100

{g + h + i + j} = - 100 - 100

{g + h + i + j} = - 200

Therefore, the sum of the other four numbers is equivalent to -200.

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Answer:

The answer is A

hope it helps u

Answer: 20

Step-by-step explanation:

so if you divide 40 w 8, it’ll be 5 which means that she reads 5 books in a month. divide 100 w 5 and you’ll get 20

what is happend here haha

Answer:

720 ways

Step-by-step explanation:

First place has 10 choices. First prize is chosen. So, 9 students are left.

Second place has 9 choices.

First and second prizes are chosen. Now 8 students are left

Third place has 8 choices.

Total ways = 10 * 9 * 8 = 720 ways

Answer:

it depends on how big the rectangle is though...

Step-by-step explanation:

Answer:

6x + 10

Step-by-step explanation:

Given,

Length ( l ) = 3x

Breadth ( b ) = 5

To find : Perimeter of the rectangle = ?

Formula : -

Perimeter of the rectangle = 2 ( l + b )

Perimeter of the rectangle

= 2 ( 3x + 5 )

= 2 ( 3x ) + 2 ( 5 )

= 6x + 10

The approximate yards Jason will skate in the next 15 seconds is 135 yards

Given that :

Number of yards skate in 20 seconds = 180 yards

The rate per second cannbe calculated thus :

The distance skate in 15 seconds will be:

Therefore, Jason will skate 135 yards in the next 15 seconds.

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Answer:

-1.25

Step-by-step explanation: