The second one because for every x value there is one and only one y value. If you plotted the points and graphed it, you would know it is not a function if it doesn't pass the vertical line test. Notice the same x values show up repeatedly in the other ordered pairs with different y values. Only one y value for every x value

5 0

2 years ago

What is the answer to this question

il63 [147K]

The ratio of the shortest sides is 12/5. Multiplying the other two sides of the smaller triangle by that ratio gives 15 and 18, so the ratios of all sides are the same. The triangles are similar.

ABC ~ ZYX

The largest/smallest scale factor is 12/5 = 2.4.

6 0

2 years ago

Rewrite \sqrt((1+cos45)/(2)) using a half-angle identity

aleksklad [387]

$\stackrel{\textit{Half-Angle Identities}}{cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}}} \\\\[-0.35em] ~\dotfill\\\\ \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos\left( \cfrac{45^o}{2} \right)\implies \sqrt{\cfrac{1+cos(45^o)}{2}}~~ = ~~cos(22.5^o)$

7 0

1 year ago