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3 years ago

Triangle CAT was rotated to create triangle C'A'T'. Describe the transformation using details and degrees.

Mathematics

2 answers:

Maslowich3 years ago

8 0

Triangle CAT appears to be rotated about the origin clockwise by 90 degrees. If you have graph paper and you draw out CAT, take one point, rotate the paper 90 degrees, and plot the point again as if it were a new graph. Once you're finished, you'll have this graph of C'A'T'.

Kitty [74]3 years ago

5 0

Answer:

This is a clockwise rotation of 90 degrees about the origin.

Step-by-step explanation:

If you place an edge of a ruler at the point (0,0). the origin, you see that rotating the ruler clockwise take the point C to C'.

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3 years ago

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Please help me :)) algebra 2! what are the real roots?

irina1246 [14]

Answer:

Step-by-step explanation:

So we have the equation:

$3(x-4)^\frac{4}{3}+16=64$

First, let's subtract 16 from both sides:

$3(x-4)^\frac{4}{3}=48$

Now, let's divide both sides by 3:

$(x-4)^\frac{4}{3}=16$

Remember that with fractional exponents, we can move the denominator into the root position. Therefore:

$(\sqrt[3]{x-4})^4=16$

Let's take the fourth root of both sides. Since we're taking an even root, make sure to have the plus-minus symbol!

$\sqrt[3]{x-4} =\pm 2$

Cube both sides. Since we're cubing, the plus-minus stays.

$x-4=\pm 8$

Add 4 to both sides.

$x=\pm 8+4$

Calculator:

$x=8+4\text{ or } x=-8+4\\x=12\text{ or } x=-4$

So, our answer is A.

And we're done!

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3 years ago

A waitress works 1.75 hours less in the afternoon than in the evening. If she works 5 1/8

gayaneshka [121]

Let $x$ be the number of hours that the waitress works in the evening.

We know for our problem that she works $5 \frac{1}{8}$ in the afternoon and that she works <span>1.75 hours less in the afternoon than in the evening, so:
</span> $x=5 \frac{1}{8} -1.75$
<span>Since </span> $\frac{1}{8} =0.125$ , we can rewrite our expression:
$x=5.125-1.75$
$x=3.375$

We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction: $3 \frac{3}{8}$ hours.