All categories

2 years ago

Solve the inequality x+2 1/2 >-1/2.graph the solution set on a number line. Show your work.

Mathematics

1 answer:

Dmitrij [34]2 years ago

4 0

Answer:

x>-3

Step-by-step explanation:

1: write out the problem - x+2 1/2>-1/2

2: subtract 2 1/2 from both sides - x>-3

3: write your answer - x>-3

4: graph on a number line - to do this draw a number line with hashes, -5 to 5 or so would probably be fine, and draw on open circle on -3, then bold the number line on the right side of the circle.

You might be interested in

Sanjay needs 90 meters of fence to go around a rectangular garden.

VladimirAG [237]

W + 3w = 90 is obviously wrong

8 0

3 years ago

Read 2 more answers

kay was walking along the bridge above the river. She accidentally lost her grip on her camera when she was trying to get it out

zhenek [66]

5 seconds
because that is the positive zero of that equation

6 0

3 years ago

Read 2 more answers

part 2. Find the value of the trig function indicated, use for that Pythagorean theorem to find the third side if you need it.

andreev551 [17]

Answer: $\bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}$

<u>Step-by-Step Explanation:</u>

Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>

$5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: (15)² + (3√11)² = hypotenuse² → hypotenuse = 18

$6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}$

Note: 8² + 15² = hypotenuse² → hypotenuse = 17

$7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}$

Note: hypotenuse not needed for tan

$8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}$

Note: 2² + 6² = hypotenuse² → hypotenuse = 2√10

8 0

3 years ago

Can someone help me? After I figure out the sequence i have to write the formula. please help.

sveta [45]

Rewrite the fractions to have a common denominator to find the difference:

2/3 = 4/6

Difference = 4/6-5/6 = -1/6

Sequence formula = an = a1 + d(n-1)

A1 is the first term 5/6

And d = -1/6

Sequence = 5/6 -1/6(n-1)

Simplify to get an =(-n +6)/6

3 0

3 years ago

Absolute value /-3/-/-2/=

Anni [7]

Answer:

I think it is 1

Step-by-step explanation:

8 0

3 years ago