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valentina_108 [34]
3 years ago
9

Write the equations in graphing form, then state the vertex of the parabola or the center and radius of the circle.

Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0
(x+1)^2+(y-2)^2=9

center:(-1,2)
radius:3
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Question 16 (Essay Worth 7 points)<br><br> Verify the identity.<br><br> tan (x + π/2) = -cot x
Rus_ich [418]

Step-by-step explanation:

We know that tan=sin/cos, so tan(x+π/2)=

\frac{sin(x+pi/2)}{cos(x+pi/2)}

Then, we know that sin(u+v)=sin(u)cos(v)+cos(u)sin(v),

so our equation is then

\frac{sin(x)cos(\pi/2)+cos(x)sin(\pi/2)}{cos(x+\pi/2)}  = \frac{cos(x)}{cos(x+\pi/2) }

Then, cos(u+v)=cos(u)cos(v)-sin(u)sin(v), so our expression is then

\frac{cos(x)}{cos(x)cos(\pi/2)-sin(x)sin(\pi/2)} = \frac{cos(x)}{-sin(x)} = -cot(x)

6 0
2 years ago
The proof that AMNS AQNS is shown.
FrozenT [24]

Answer:

The answer is "MS and QS".

Step-by-step explanation:

Given ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. we have to prove that ΔMNS ≅ ΔQNS.

As NR and MQ bisect each other at S

⇒ segments MS and SQ are therefore congruent by the definition of bisector i.e   MS=SQ

In ΔMNS and ΔQNS

MN=QN       (∵ MNQ is isosceles triangle)

∠NMS=∠NQS     (∵ MNQ is isosceles triangle)

MS=SQ         (Given)

By SAS rule, ΔMNS ≅ ΔQNS.

Hence, segments MS and SQ are therefore congruent by the definition of bisector.

The correct option is MS and QS

3 0
3 years ago
Easy to read<br> Practice Problems<br> 1.4.-62
svetlana [45]

Answer:

1.4-62=-60.6

Step-by-step explanation:

Ask me if you need any other help!

6 0
3 years ago
Help Asap! 20 points!
dybincka [34]
D = 10 is the diameter so r = d/2 = 10/2 = 5 is the radius

Plug r = 5 and h = 7 into the formula below and simplify
V = pi*r^2*h
V = pi*5^2*7
V = pi*25*7
V = pi*175
V = 175pi

Answer: Choice D
4 0
3 years ago
A rectangle field is 350 meters long and 300 meters wide. What is the area of the field in square kilometers
balu736 [363]

Okay, so a kilometer=1000 meters, knowing that we can multiply 350*300 for the area, which would give us 105000 meters squared, then we divide 105000 by 1000, giving us 105 square kilometers.

4 0
3 years ago
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