Which inequality is represented by this graph?

Mathematics

2 answers:

DochEvi [55]3 years ago

5 0

I think it is D cause it could be equal

Sedaia [141]3 years ago

4 0

Answer: The answer is A!!! For Apex :)

Step-by-step explanation:

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Type the correct answer for each.

xxTIMURxx [149]

If point $\left(x,\ \frac{\sqrt{7}}{3}\right)$ is on the unit ircle, then:

$x^2+\left( \frac{ \sqrt{7} }{3} \right)^2=1 \\ \\ \Rightarrow x^2+ \frac{7}{9} =1 \\ \\ \Rightarrow x^2=1- \frac{7}{9} = \frac{2}{9} \\ \\ \Rightarrow x= \sqrt{ \frac{2}{9} } = \frac{ \sqrt{2} }{3}$

Since, the point is in the second quadrant, x is negative.

Thus, $(x,\ y)=\left(x,\ \frac{\sqrt{7}}{3}\right)=\left(-\frac{ \sqrt{2} }{3},\ \frac{\sqrt{7}}{3}\right)$

Part A:

$3 \sqrt{7} =6\left( \frac{ \sqrt{7} }{2} \right) \\ \\ =6\left( \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \right) \\ \\ =6\left( \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } \right)=-6\left( \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } \right) \\ \\ =-6\left( \frac{y}{x} \right)=-6\tan\theta$

Therefore, $-6\tan\theta=3\sqrt{7}$ .

Part B:

$- \frac{ \sqrt{7} }{2} =- \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \\ \\ =- \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } = \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } = \frac{y}{x} \\ \\ =\tan\theta$

Therefore, $\tan\theta=- \frac{ \sqrt{7} }{2}$

8 0

3 years ago

Dylan has $14.00 to spend at the book fair. He decides to buy two paperbacks for $4.50 each. Then, he sees some sticker books. A

KonstantinChe [14]

Answer: 5 dollars

Step-by-step explanation:

7 0

3 years ago

Find the volume of a triangle prism with the following dimensions triangle base: 5ft

Andrews [41]

Hey there :)

We know the volume formula of a triangular prism
Volume = base area × height of prism

We are given:
Base of triangle = 5 ft
Height of triangle = 3 ft
Height of prism = 7.5 ft

Apply the formula
V = $\frac{1}{2}$ ( 5 )( 3 ) × 7.5
= 7.5 × 7.5
= 56.24 ft³

4 0

3 years ago

Read 2 more answers

Which statement is not always true?

Dafna1 [17]

Which statement is not always true?(1) The product of two irrational numbers is irrational.
(2) The product of two rational numbers is rational.
(3) The sum of two rational numbers is rational.
(4) The sum of a rational number and an irrational number is irrational.
The statement that is not always true is the <span>sum of two rational numbers is rational. The answer is number 3.</span>

6 0

3 years ago

A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits.

dem82 [27]

The answer for this question, to the correct significant digits, would be 39 feet squared. This can be worked out in the following way: S=a*a ft^2S=6.25*6.25S=39.0625?39.1 9and then round this up to find the answer of 39 square feet)

4 0

3 years ago