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marusya05 [52]
3 years ago
8

Write the equation of the line that passes through (0,3) and is perpendicular to the line y=-5x-4

Mathematics
1 answer:
andriy [413]3 years ago
7 0
Take the neg recip of the slope -5; the correct result is 1/5.

Using the slope-intercept form of the eqn of a str line:

y = mx + b becomes   3 = (1/5)(0) + b.  Thus, b = 3, and y = (1/5)x + 3 (ans)
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What is the sum of a geometric sequence 1, 3, 9, ... if there are 12 terms?
attashe74 [19]
We know that
a1=1
a2=3
a3=9
a2/a1=3/1----> 3
a3/a2=9/3----> 3
<span>common ration r is equal to 3
number of terms n  is 12

The </span><span>Sum of geometric series is given by the formula
</span>Sum=a1*[1-r<span>^n]/[1-r]
</span>Sum=1*[1-3^12]/[1-3]-----> Sum=[1-3^12]/[1-3]----> [3^12-1]/[3-1]
<span>Sum=531440/2-----> 265720

the answer is
265720



</span>
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3 years ago
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yulyashka [42]

Answer:

your answer is B

Step-by-step explanation:

3 0
3 years ago
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7 0
3 years ago
Identify the surface whose equation is given. rho2(sin2(φ) sin2(θ) + cos2(φ)) = 49
Paha777 [63]

Answer:

The surface is a cylindrical surface with radius 7 units

Step-by-step explanation:

The equation is properly written as:

\rho^{2} (sin^{2} \phi sin^{2} \theta + cos^{2} \phi) = 49

The above equation takes the form y^{2} + z^{2} = r^{2}

Where y^{2} = \rho^{2} sin^{2} \phi sin^{2} \theta

y = \rho sin \phi sin \theta

and z^{2} = \rho^{2}cos^{2}  \phi

z = \rho cos \phi

r^{2} = 49

r = 7 units

The surface is a cylindrical surface with radius 7 units

4 0
3 years ago
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