$1.\ t(x)=-\sqrt{x}\to y\leq0\\\\2.\ p(x)=\sqrt[3]{2-x}\to \text{All real numbers}\\\\3.\ w(x)=2+\sqrt{x}\to y\geq2\\\\4.\ r(x)=-2+\sqrt{2-x}\to y\geq-2\\\\5.\ k(x)=2-\sqrt{x}\to y\leq2\\\\6.\ v(x)=\sqrt{-x}\to y\geq0\\-------------------\\\sqrt{x}\geq0,\ \sqrt[3]{x}\in\mathbb{R}$

4 0

4 years ago

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Are the following triangles similar? Justify your answer.

alukav5142 [94]

Yes. The triangles are both right triangles, which means they both have a single right angle.

3 0

4 years ago

Which expression gives the distance between the points

Alla [95]

Answer:

Step-by-step explanation:

The formula for finding the distance between 2 points (x1, y1) and (x2, y2) is

d = √[(x2 - x1)² + (y2 - y1)²]

Here (x2, y2) = (2, 3) and (x1, y1) = (4, -3)

Plugging them gives us

d = √[(2 - 4)² + (3 - (-3))²]

d = √[(2 - 4)² + (3 + 3)²]

8 0

3 years ago

What are the values of x in the equation x(x-6)=4(x+6)

bonufazy [111]

$x(x-6)=4(x+6)\ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\x(x)+x(-6)=4(x)+4(6)\\\\x^2-6x=4x+24\ \ \ \ |subtract\ 4x\ and\ 24\ from\ both\ sides\\\\x^2-10x-24=0\\\\x^2-12x+2x-24=0\\\\x(x-12)+2(x-12)=0\iff(x-12)(x+2)=0\\\\therefore\\\\x-12=0\ or\ x+2=0\\\\Answer:\boxed{x=12\ or\ x=-2}$

7 0

4 years ago

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