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3 years ago

A:1/360 B:1/90 C:1/180 D:1/100

Mathematics

1 answer:

valkas [14]3 years ago

5 0

the answer is 1/360.

$\frac{1}{1} = 360degrees \\ x= 1degree$

cross multiplication and u get the answer

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3 years ago

The reciprocal parent function is reflected across the x- axis, then translated 5 units right and 7 units down . Write an equati

Charra [1.4K]

Answer:

Equation: $f'"(x) = -\frac{1}{x-5}-7$

Asymptotes: $(x,y) = (5,-7)$

Step-by-step explanation:

Given

Let the reciprocal function be:

$f(x) = \frac{1}{x}$

First, it was reflected across the x-axis.

The rule is: (x,-y)

So, we have:

$f'(x) = -\frac{1}{x}$

Next, translated 5 units right.

The rule is: (x,y)=>(x-5,y)

So:

$f"(x)= -\frac{1}{x-5}$

Lastly, translated 7 units down.

The rule is: (x,y) => (x,y-7)

So:

$f'"(x) = -\frac{1}{x-5}-7$

To get the vertical asymptote, we simply equate the denominator to 0.

i.e.

$x - 5 = 0$

$x = 5$

To get the horizontal asymptote, we simply equate y to the constant.

i.e.

$y = -7$

$(x,y) = (5,-7)$

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3 years ago

Y=2x+5<br> X=5x+9 How Do you solve this solution

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3 years ago

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Dilate line f by a scale factor of 2 with the center of dilation at the origin to create line f. Where are points A' and B' loca

V125BC [204]

Answer:

Option A

Step-by-step explanation:

We are given that

Scale factor=2

Center of dilation=(0,0)

Point A(0,2) and point B (2,0).

Slope of line f= $\frac{y_2-y_1}{x_2-x_1}$

Substitute the values

Slope of line f= $\frac{0-2}{2-0}=-1$

Distance between A and Origin (0,0) is given by

$OA=\sqrt{(0-0)^2+(0-2)^2}=2 units$

Using distance formula

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

OB= $\sqrt{(0-2)^2+(0-0)^2}=2 units$

Length of OA'=2OA=2(2)=4 units

Length of OB'=2(OB)=2(2)=4 units

x-intercept of line f' at x=4

y-intercept of line f' at y=4

Therefore, the points A' and B' are given by

(0,4) and (4,0)

Slope of line f'= $\frac{0-4}{4-0}=-1$

Slope of line f and f' are equal.Therefore, lines f and f' are parallel.

Option A is true.

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3 years ago

What is m∠D ?

Aleksandr [31]

All triangles have angles that add up to 180, so we can take the top triangle, which has angles 14, 45, and x, and say they add up to 180, so 180-14-45=x and x = 121. For E, all angles that look like that and have opposite angles, then these opposites are equal, so both sides of E are 121. then we use the bottom triangle to solve for D with the fact that all triangles' angles add to 180 again. 180-27-121 = D, so D=32

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3 years ago

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