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4 years ago

Which of the following statements must be true about this diagram? PLEASE HELP

Mathematics

2 answers:

Naddika [18.5K]4 years ago

7 0

Answer:

A is the one that is true

Step-by-step explanation:

Because W is bigger than Z as it has the bigger proportion of the angle :)

scoray [572]4 years ago

5 0

Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

What is the inverse and restricted domain of the equation 8x^2-3

kari74 [83]

Answer: $\bold{y=\pm \dfrac{\sqrt{2(x+3)}}{4},\qquad x\neq -3}$

Step-by-step explanation:

y = 8x² - 3 (Restriction: none - x is All Real Numbers)

The inverse is when you swap the x's and y's and then solve for y

x = 8y² - 3 swapped the x and y

x + 3 = 8y² added 3 to both sides

$\dfrac{x+3}{8}=y^2$ divided both sides by 8

$\sqrt{\dfrac{x+3}{8}}=\sqrt{y^2}$ square rooted both sides

$\pm \sqrt{\dfrac{x+3}{8}}=y$ simplified

$\pm \sqrt{\dfrac{x+3}{8}\bigg(\dfrac{2}{2}\bigg)}=y$ rationalized the denominator

$\pm \sqrt{\dfrac{2(x+3)}{16}}=y$ simplified

$\pm \dfrac{\sqrt{2(x+3)}}{4}=y$ simplified

Restriction:

The radical (inside the square root sign) cannot be negative

→ 2(x + 3) ≥ 0

x + 3 ≥ 0 divided both sides by 2

x ≥ -3 subtracted 3 from both sides

4 0

3 years ago