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lozanna [386]
3 years ago
13

Someone pleaseee help meee!!!

Mathematics
1 answer:
Ahat [919]3 years ago
6 0

Answer:

<em>True</em>

Step-by-step explanation:

<u>Polar Coordinates</u>

One point in the plane can be expressed as its rectangular coordinates (x,y). Sometimes, it's convenient to express the points in the plane in polar coordinates (r,\theta), where r is the radius or the distance from the point to the origin, and \theta is the angle measured from the positive x-direction counterclockwise.

The conversion between rectangular and polar coordinates are

r=\sqrt{x^2+y^2}

\displaystyle tan\theta=\frac{y}{x}

The angle can be computed as the inverse tangent of y/x and it can be negative. It's enough that x and y have opposite signs to make the angle negative. For example, if x=1, y=-1

\displaystyle tan\theta=\frac{-1}{1}=-1

The angle that complies with the above equation is

\displaystyle \theta=-\frac{\pi}{4}

But it can also be expressed as

\displaystyle \theta=\frac{7\pi}{4}

Can the angle be negative? it depends on what is the domain given for \theta. Usually, it's (0,2\pi) in which case, the angle cannot be negative.

But if the domain was (-\pi,\pi), then our first solution is valid and the angle is negative. We'll choose the most general answer: True

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I don’t know but your in higher math than me so can you help me on my questions please. Sorry I know that seems kinda selfish but I need help. I know how you feel. No one will help me.
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Find the value of X and Y in the following parallelogram.AD =X+8 D=2y +13 C=16-x CB=5y+4 AB=o​
vlada-n [284]

Answer:

The answer is below

Step-by-step explanation:

AD = X + 8 ∠D = 2y +13 ∠C = 16 - x CB = 5y+4

In a parallelogram, consecutive angles are supplementary and opposite sides are equal.

Therefore for parallelogram ABCD, AB = CD, CB = AD

Since AD = CB (opposite sides of a parallelogram are equal):

x + 8 = 5y + 4

5y - x = 8 - 4

5y - x = 4             (1)

∠C + ∠D= 180° (consecutive angles of a parallelogram are supplementary). Therefore:

16 - x + 2y + 13 = 180

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2y - x = 151             (2)

To find x and y, subtract equation 1 from equation 2:

3y = -147

y = -49

Put y = -49 in equation 2

2(-49) - x = 151

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6 0
3 years ago
marta has 7 more than half as many books as lucy. if l is the number of the books lucky has which expression could be use to fin
artcher [175]

Answer:

M= 1/2(x)+7

Step-by-step explanation:

Let M = Martha.

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3 0
2 years ago
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If FH = 9x + 15 and GH = 5x + 4,<br> then FG = ?
Tatiana [17]

Answer:

FG = 39

Step-by-step explanation:

From the question given:

FH = 9x + 15

GH = 5x + 4

FG = ?

From the question given above, we can say that G is the midpoint of FH. This implies that:

FH = FG + GH

With the above idea in mind, we can obtain FG as follow:

FH = 9x + 15

GH = 5x + 4

FG = ?

FH = FG + GH

9x + 15 = FG + 5x + 4

Rearrange

FG = 9x + 15 - 5x - 4

FG = 9x - 5x + 15 - 4

FG = 4x + 11

Next, we shall determine the value of x. This can be obtained as follow:

Since G is the midpoint of FH, it therefore means that FG and GH are equal i.e

FG = GH

With the above idea in mind, we can obtain the value of x as follow:

FG = 4x + 11

GH = 5x + 4

FG = GH

4x + 11 = 5x + 4

Collect like terms

11 - 4 = 5x - 4

7 = x

x = 7

Thus, we can obtain the value of FG as follow:

FG = 4x + 11

x = 7

FG = 4x + 11

FG = 4(7) + 11

FG = 28 + 11

FG = 39

***Check ***

FH = 9x + 15

x = 7

FH = 9(7) + 15 = 63 + 15 = 78

GH = 5x + 4

x = 7

GH = 5(7) + 4 = 35 + 4 = 39

FG = 4x + 11

x = 7

FG = 4(7) + 11 = 28 + 11 = 39

FH = FG + GH

FH = 78

FG = 39

GH = 39

FH = FG + GH

78 = 39 + 39

78 = 78

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Step-by-step explanation:

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