A regular triangular pyramid is a solid figure with r surfaces
- 3 lateral surfaces and one base surface
- the four surfaces are congruent triangles, which is to say that all triangular surfaces have the same base and the same slant heght
- the area of each surface is [1/2] base * slant height.
Then, a change that double the area is any that keep one of the dimensiones and double the other.
So the answer is: double each side, b, of the base triangle while keeping the slant height, l, tha same.
You can also double the slant height, l, while keeping the base triangle, but then the height,h, of the pyramid will increase, by a factor which is not 2.
<h3>Answer: Choice D
</h3>
=======================================================
Explanation:
Let's go through the answer choices one by one to see which are true, and which are false.
- Choice A) This is true because as we approach x = 2 from the left hand side, the y values get closer to y = 1 from the top
- Choice B) This is true. As we get closer to x = 4 on the left side, the blue curve is heading downward forever toward negative infinity. So this is what y is approaching when x approaches 4 from the left side.
- Choice C) This is true also. The function is continuous at x = -3 due to no gaps or holes at this location, so that means its limit here is equal to the function value.
- Choice D) This is false. The limit does exist and we find it by approaching x = -4 from either side, and we'll find that the y values are approaching y = -2. In contrast, the limit at x = 2 does not exist because we approach two different y values when we approach x = 2 from the left and right sides (approach x = 2 from the left and you get closer to y = 1; approach x = 2 from the right and you get closer to y = -2). So again, the limit does exist at x = -4; however, the function is not continuous here because its limiting value differs from its function value.
- Choice E) This is true because the function curve approaches the same y value from either side of x = 6. Therefore, the limit at x = 6 exists.
Just reflect C and D across the y-axis
C is (-4, -4) so A is (-4, 4)
D is (4, -4) so B is (4, 4)
Answer:
y = 4x + 4
Step-by-step explanation:
given :
y = 8 
, (1,8)
The equation for the tangent to the curve at the given point
y' = 8. ( 
next calculate the slope of the tangent (m) = y' at x = 1 = 4
hence the equation of the tangent is
y - y' = m( x - x1 )
y - 8 = 4 ( x - 1 )
y = 4x + 4
attached below is the sketch of the curve and the tangent together
Answer:
22x/7=52x=35x= 35/2
Step-by-step explanation:
hope this helps
