Answer:
1. If it is just a line and it has no end points then it means that it is a line if it has endpoints then it's a line segnment.
2. a suplementary angle is equal to 180 degrees and congruent angels are equal angles. (conruent is just a fancy word for equal.)
Step-by-step explanation:
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Answer:
D: 850 cm^3
Step-by-step explanation:
You sum the volumes.
Prism is 15*5*7 = 525
Pyramid is 15*5*13/3 = 325
Sum is 850
Answer:
Option C - 1/81
Step-by-step explanation:
9^(-2) = 1/(9^2) [ Because a^(-m) = 1/(a^m) ]
so, 1/(9²) = 1/81.
Hope this helps you.
If tangent to the curve y = √x is parallel to the line y = 8x, then this implies that the tangent to y = <span>√x has the same slope as the line y = 8x. In other words, the derivative (slope) function of y = √x is equal to the slope of the line y = 8x, which is m = 8. Hence y' = 8 once we find y'
y = </span><span>√x = x^(1/2)
Applying the power rule and simplifying, we find that the derivative is
y' = 1/(2</span>√x)
Now remember that y' must equal 8
1/(2<span>√x) = 8
Multiplying both sides by 2</span><span>√x, we obtain
1 = 16</span><span>√x
Dividing both sides by 16, yields
</span><span>√x = 1/16
But wait a minute, √x = y. Thus 1/16 must be the y-coordinate of the point at which the tangent to y = √x is drawn.
Squaring both sides, yields
x = 1/256
This is the x-coordinate of the point on the curve where the tangent is drawn.
</span><span>∴ the required point must be (1/256, 1/16)
GOOD LUCK!!!</span>
Answer:
There is no image, but perpendicular lines are lines that will eventually intersect, if the lines are straight and not intersecting, then they are parallel.