Answer:
Step-by-step explanation:
<em>(17).</em> g(x) = x³ + 4x
f(x) = 4x + 1
( f × g )( x ) = ( x³ + 4x )( 4x + 1 ) = <em>4 </em>
<em> + x³ + 16x² + 4x</em>
<em>(19).</em> f(t) = 4t - 4
g(t) = t - 2
( 4f + 3g )( t ) = 4(4t - 4) + 3(t - 2) = 16t - 16 + 3t - 6 = <em>19t - 22</em>
<em>(21).</em> h(t) = t + 3
g(t) = 4t + 1
h(t - 2) + g(t - 2) = ( t - 2 ) + 3 + 4( t - 2 ) + 1 = t + 4t - 2 + 3 - 8 + 1 = <em>5t - 6</em>
Exterior Angles Theorem is used.
The exterior angle of a triangle is equal to the 2 opposite interior angles.
Therefore, 65+78=143°, since 65 and 78 are the 2 opposite interior angles.
So, the answer is 143°
The slope is: -0/8
Use the formula to find the slope
Six hundred thirty two and seven hundred forty five thousandths.
600 + 30 + 2 + .7 + .04 + .005
By the Pythagorean theorem:
с = √(3² + 6²)
= √(9 + 36)
= √45 ← <span>un-simplified radical form
= 3</span>√5 ← <span>simplified radical form
</span>≈ 6.71<span> </span>← <span>to the nearest hundredth</span>
