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3 years ago

Please help question in the picture

Mathematics

1 answer:

anzhelika [568]3 years ago

6 0

Answer:

Step-by-step explanation:

40 squared is 1600

30 squared is 900

1600+900=2500

$\sqrt{2500}$ =50

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Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

3 years ago

Which of the following equations is of the parabola whose vertex is at (2, 3), axis of symmetry parallel to the y-axis and p = 4

lora16 [44]

Answer:

option A.) y-3 = 1/16 (x-2)^2

Step-by-step explanation:

we know that

If the axis of symmetry is parallel to the y-axis, then we have a vertical parabola

The equation of a vertical parabola is equal to

$4p(y-k)=(x-h)^{2}$

where

(h,k) is the vertex

In this problem we have

(h,k)=(2,3)

p=4

substitute

$4(4)(y-3)=4(4)(x-2)^{2}$

$16(y-3)=(x-2)^{2}$

$(y-3)=(1/16)(x-2)^{2}$

8 0

3 years ago

Given a temperature of 27°F, find the equivalent in °C.

Svet_ta [14]

Answer:

-2.77778°C

Step-by-step explanation:

(27°F − 32) × 5/9 = -2.778°C

4 0

3 years ago

2) (-10) + (-7) shoe work

Sladkaya [172]

A negative plus a negative equals a negative so it's just -17

7 0

3 years ago

Does anybody have their geometry notebook for E2020? I need it to get credit for the course but I lost mine.

xxMikexx [17]

Answer:

Sorry, I don't have one.

Step-by-step explanation:

6 0

3 years ago