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3 years ago

NEED HELP PLEASE ANSWER ASAP!

Mathematics

1 answer:

Alinara [238K]3 years ago

8 0

Answer:

(2) Graph 2

Step-by-step explanation:

Question 40

| 2x + 3 | > 7
It means the absolute value has to be greater than 7
At x = -5 and x = 2, the absolute value is 7
So, the numbers between them won't be included
The points have an open dot
x < -5 and x > 2
(2) Graph 2

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Answer:

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Step-by-step explanation:

3x - 5 is complementary to y° so their sum is 180°

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4 years ago

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3 years ago

The point P= (x,-1/7) lies on the unit circle shown below. What is the value of x in simplest form?

ipn [44]

Answer:

$x^2 + \frac{1}{49} =1$

And solving for x we got:

$x^2 = 1- \frac{1}{49}$

$x^2 = \frac{48}{49}$

And taking square root we got:

$x = \sqrt{\frac{48}{49}}= \frac{\sqrt{48}}{7} = \frac{4\sqrt{3}}{7}$

Step-by-step explanation:

For this case we have the following point given $P(x , -1/7)$

And we want to find the value of x, since P lies on the unitray circle if we find the distance from P to the center of the unitary circle (0,0) we need to get 1. Using the definition of Euclidean distance that means:

$d = \sqrt{(x -0)^2 +(-1/7 -0)^2}=1$

And if we square both sides of the last equation we got:

$x^2 + \frac{1}{49} =1$

And solving for x we got:

$x^2 = 1- \frac{1}{49}$

$x^2 = \frac{48}{49}$

And taking square root we got:

$x = \sqrt{\frac{48}{49}}= \frac{\sqrt{48}}{7} = \frac{4\sqrt{3}}{7}$

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3 years ago