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3 years ago

In this rotation WXY is mapped to CBA. if QON = 55, then XOB measures _____.

Mathematics

2 answers:

CaHeK987 [17]3 years ago

8 0

The correct answer would be 1

Nadya [2.5K]3 years ago

3 0

Answer: Measure of ∠XOB is 110°.

Step-by-step explanation:

Since we have given that

In this rotation , WXY is mapped to CBA.

According to mapping, WXY is mapped to TSR.

So, X is corresponds to S

So, it will form equal angle say ∠1.

Similarly,

TSR is mapped to CBA.

So, S is correspond to B forming equal angle say ∠2.

As shown in the figure.

Now, we have already given that

∠1+∠2=55°

so, ∠1+∠1+∠2+∠2=∠XOB

2(∠1+∠2)=∠XOB

2×55°=∠XOB

110°=∠XOB.

Hence, Measure of ∠XOB is 110°.

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4 years ago

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Is the following function even, odd or neither? f(x)=x^3 +4x

erica [24]

Answer:

D, neither

Step-by-step explanation:

to determine whether a function is even, odd or neither, we need to know what it means

an even function is symmetric with respect to the y-axis

an odd function is symmetric with respect to the origin

to solve an equation to see if its even or odd, we would need to substitute x in the equation for -x.

in an even function when we substitute f(-x), it should be equal to to f(x)

in an odd function when we substitute f(-x), it should be equal to -f(x)

so lets test the function given to see if its even

f(x) = x³ + 4x

f(-x) = (-x)³ + 4(-x)

f(-x) = x³ - 4x

f(-x) = x³ - 4x ≠ f(x) = x³ + 4x

comparing this to the orignal function, we see that f(-x) = x³ - 4x is not even as we did not get the same output as the original function

now we should test to see if its odd. we have already seen what f(-x) is, now lets try -f(x) and compare it to f(-x) and f(x)

-f(x) = -(x³ + 4x) -->

-f(x) = -x³ - 4x ≠ f(-x) = x³ - 4x

f(-x) = x³ - 4x ≠ f(x) = x³ + 4x

comparing this to f(x) and f(-x), we see that it not odd as we did not get the same output

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4 years ago

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Lelu [443]

Answer:

x=65

Step-by-step explanation:

145=2x+15

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3 years ago

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Natasha2012 [34]

Answer:

Step-by-step explanation:

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3 years ago

Please need help on this

artcher [175]

Answer:

the center is (-4,7) and the radius is 3

Step-by-step explanation:

The center of a circle can be found using the equation $(x-h)^2 + (y-k)^2 = r^2$ and is (h,k) from it. Notice h and k are the opposite value as in the equation.

First write the equation in this form.

$x^2 + 8x + ( ?)+ y^2 - 14y + (?) + 56 = 0$

Complete the square with each variable to find what numbers should go in place of the question marks.

$(8/2)^2 = 4^2 = 16$

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Add 16 and 49 to both sides of the equation.

$x^2 + 8x + 16 + y^2 - 14y + 49 + 56 = 16 + 49\\(x+4)^2 + (y-7)^2 + 56 = 65\\(x+4)^2 + (y-7)^2 = 9$

So the center is (-4,7) and the radius is 3.

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3 years ago