<u>Answer</u>
<span>Reflected over the x-axis and reflected over the y-axis.
<u>Explanation.</u>
When the rectangle ABCD is reflected along the x-axis, the images of ABCD will be A''(-4,-2), B''(-4,-1), C''(-1,-1) and D''(-1,-2).
When the rectangle A'', B'', C'' and D'' is reflected on the y-axis, it will exactly map on to A'B'C'D'.
So, the correct answer from the choices is "</span><span>Reflected over the x-axis and reflected over the y-axis". </span><span>
</span>
The answer is 4 lawns because one fourth of 16 is 4 and the question is asking how many did he mow on main street.
79 14/100 or simplified 79 7/50
<span><span><span>Given <span>f(x) = 2x + 3</span><span> and </span><span>g(x) = –x2 + 5</span><span>, find </span></span><span>(<span> f</span> </span>o<span> f )(x</span><span>).</span></span><span>(<span> f</span> </span>o<span> <span>f </span>)(x) = f (<span> f</span> (x))</span><span>
</span><span> = f (2x + 3)</span><span>
</span><span> = 2( ) + 3 </span>... setting up to insert the input<span>
</span><span> = 2(2x + 3) + 3</span><span>
</span><span> = 4x + 6 + 3</span><span>
</span> <span>= 4x + 9</span></span><span><span><span><span>Given </span><span>f(x) = 2x + 3</span><span> and </span><span>g(x) = –x2 + 5</span><span>, find </span></span><span>(g</span><span> o</span><span> g)(x</span><span>).</span></span><span>(g </span>o<span> g)(x) = g(g(x))</span><span>
</span><span> = –( )2 + 5 </span>... setting up to insert the input<span>
</span><span> = –(–x2 + 5)2 + 5</span><span>
</span><span> = –(x4 – 10x2 + 25) + 5</span><span>
</span><span> = –x4 + 10x2 – 25 + 5</span><span>
</span><span> = </span><span>–x4 + 10x2 – 20</span></span>
Sometimes you have to be careful with the domain and range of the composite function.
<span><span><span>Given </span><span>f (x) = sqrt(x)</span><span> and </span><span>g(x) = x – 2</span><span>, find the domains of </span><span>(<span> f</span> </span>o<span> g)(x)</span><span> and </span><span>(g </span>o<span> f )(x)</span>.</span></span>
Answer:
b= 5
c = 10, x=7 hypotenuse = 7
Step-by-step explanation:
A 30-60-90 triangle has the ratios of x-x-2x so if x=5, then 5-5 - 10
for a 45-45-90, if one leg is 7, so is the other x so hypotenuse is 7
