Answer:
Distance of object = 0.0144 meter
Step-by-step explanation:
Given:
Angular diameter = 30 arcseconds = 30[100 / 3600]
Length of diameter = 10 cm
Find:
Distance of object
Computation:
Distance of object = [(2)(a)][TanФ / 2]
Distance of object = [(2)(10)][Tan(300 / 7200]
Distance of object = [20][Tan 0.04167]
Distance of object = [20][0.00072]]
Distance of object = 0.0144 meter
Answer:
h = -6
Step-by-step explanation:
Use the quadratic formula
ℎ
=
−
±
2
−
4
√
2
h=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
h=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
ℎ
2
−
3
6
=
0
h^{2}-36=0
h2−36=0
=
1
a={\color{#c92786}{1}}
a=1
=
0
b={\color{#e8710a}{0}}
b=0
=
−
3
6
c={\color{#129eaf}{-36}}
c=−36
ℎ
=
−
0
±
0
2
−
4
⋅
1
(
−
3
6
)
Answer:b
Step-by-step explanation:
The answers are:
A) V-Shaped (because absolute value graphs are v-shaped)
C) Opens up (because the leading coefficient is positive)
F) Symmetric with respect to the y-axis (if you look at the graph y= |x|, you see that the y-axis cuts through the middle of the "v-shape", and that it is symmetric)