Answer:
Step-by-step explanation:
eq. of any line parallel to y=1/2 x-4 is
y=1/2 x+a,where a is constant.
∵ it passes through (4,5)
5=1/2(4)+a
5=2+a
a=5-2=3
so reqd. eq. is y=1/2 x+3
Answer:
B. 1 over 2 to the third power.
Step-by-step explanation:
2^4 * 2^-7
= 2^(4 + -7)
= 2^-3
= 1 / 2^3.
Answer:
D) Vertex: (-2,-8); maximum
Step-by-step explanation:
y = -2x² - 8x - 16
The negative on the first term tells us that the vertex will be a maximum
vertex occurs when the derivative is set to zero
y' = -4x - 8
0 = -4x - 8
8 = -4x
x = -2
y = -2(-2)² - 8(-2) - 16
y = -8 + 16 - 16 = -8
The plane that would produce a triangle is A, a cut parallel to the vertical axis, directly through the vertical axis.
<h3>What is a squared pyramid?</h3>
A square pyramid is a geometric shape having four triangles, five faces and a square.
<h3>Properties of a squared pyramid</h3>
- It has a five bases
- It has four or greater equilateral triangular faces meeting above the base
- All the edges, sides and angles are equal
Since the sides are equal, cutting parallel to the vertical axis forms a triangle.
Therefore, a cut parallel to the vertical axis, directly through the vertical axis would produce a triangle.
Learn more about a squared pyramid here:
brainly.com/question/9071478
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Answer:
33
Step-by-step explanation:
see attachment for full step-by-step explanation
