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3 years ago

Please help. I need to get this right.

Mathematics

1 answer:

babunello [35]3 years ago

3 0

Answer:

∡SYZ = 34.2°

∡XYZ = 68.4°

Step-by-step explanation:

∡SYZ = 34.2° this must be true because this angle is congruent to ∡XYS

∡XYZ = 68.4° this must be true because ∡XYZ = ∡WYS + ∡SYZ

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Find the equation of the ellipse with the following properties. The ellipse with foci at (0, 6) and (0, -6); y-intercepts (0, 8)

sesenic [268]

Hi, thank you for posting your question here at Brainly.

The general equation of a horizontal ellipse is

(x-h)2/a2 + (y-k)2/b2 = 1, at center (h,k) while a = semi-major axis, b = semi-minor axis. These are related through the distance of the focus from the center,c. a2 = b2 + c2.

If you draw the points on a coordinate plane, the center of the ellipse is at (0,0), so h and k equals 0. Then, the minor axis (2b) spans from 8 to -8 of the y-axis. This is equal to 16 units. Hence,

2b = 16
b = 8
b^2 = 64

The distance between the two foci is 2c. Thus,

2c = 12
c = 6
c^2 = 36

Then, a2 = 64 + 36 = 100. Substituting to the general equation:

x^2/100 + y^2/64 = 1

8 0

3 years ago

Can’t figure out number 35 plz help <br><br> This is science btw

Novay_Z [31]

Answer:

it is valley

Step-by-step explanation:

it is a valley because the lower numbers in the middle suggest that it gets higher towards the outer layers which means that it goes down in the middle like a hole and a hole is like a valley. :) hope that makes sense

8 0

3 years ago

Can someone please help me:)

Zarrin [17]

Answer:

I don't know what you are saying and please zoom it I can't understand.

6 0

3 years ago

Match each function with the expression representing Its Inverse function.

USPshnik [31]

Answer:

Step-by-step explanation:

1). g(x) = -0.5x

Equation form of the given function is,

y = -0.5x

Interchange x and y,

x = -0.5y

Solve for y,

y = $-\frac{x}{0.5}$

y = -2x

Inverse function will be,

$g^{-1}x=-2x$

2). h(x) = 4x

Equation form of the function will be,

y = 4x

Interchange x and y,

x = 4y

Solve for y,

y = $\frac{x}{4}$

Inverse function will be,

$h^{-1}(x)=0.25x$

3). y = x - 4

Interchange x and y,

x = y - 4

Solve for y,

y = x + 4

Therefore, inverse of the linear equation is,

y = x + 4

4). f(x) = $\frac{x}{2}$

Equation form of the function will be,

y = $\frac{x}{2}$ = x

Interchange x and y,

x = $\frac{y}{2}$

Solve for y,

y = 2x

Therefore, inverse function will be,

$f^{-1}(x)=2x$

5). k(x) = x

Equation form of the function will be,

y = x

Interchange x and y,

x = y

Solve for y,

y = x

Inverse of the function 'f' will be,

$k^{-1}(x) =x$

6). p(x) = x + 4

Equation form of the function will be,

y = x + 4

Interchange x and y,

x = y + 4

Solve for y,

y = x - 4

Inverse of the function 'p' will be,

$p^{-1}(x)=x - 4$

7 0

3 years ago

A. How are the functions y = x and y = x + 4 related? How are their graphs related?

kicyunya [14]

Step-by-step explanation:

gggggggggggggiiiiiiiiiiii

5 0

3 years ago