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3 years ago

A student says that the measures of coterminal angles are never opposites of each other. Is the student correct?

Mathematics

2 answers:

OleMash [197]3 years ago

5 0

Answer:

The student is wrong. Two angles are coterminal if and only if the difference between their measures is a multiple of 360°.

The difference between the angles 180° and –180° is 360°, and they are coterminal. Therefore the student is WRONG.

Step-by-step explanation:

garri49 [273]3 years ago

4 0

Answer:

Wrong

Step-by-step explanation:

The student is wrong. Two angles are coterminal if and only if the difference between their measures is a multiple of 360°.

The difference between the angles 180° and –180° is 360°, and they are coterminal. Therefore the student is WRONG.

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4x+3x-5x-5+5x+5x-x3+x2-8x+2x+7-5x

Yuri [45]

1.) Group like terms: 4x+3x-5x+5x+5x-3x+2x-8x+2x-5x-5+7

2.) Add similar elements: = 4x+3x-5x+5x+5x-3x+2x-8x+2x-5x=0

3.) =-5+7

4.) Add/Subtract the numbers: -5 + 7 = 2

Your Answer: 2

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3 years ago

Write an expression to find the distance (in degrees) between the LATITUDE lines of Moscow and Brasilia. Use absolute value in y

Alona [7]

Answer: |55.75 - (-15.8)|

Step-by-step explanation:

This is the answer that they have for edmentum but you can just copy it :)

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3 years ago

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Natalie invested $1,200 in an account paying an interest rate of 6.4% compounded continuously. Assuming no deposits or withdrawa

Keith_Richards [23]

Answer:

FV=$3,445

Step-by-step explanation:

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i=0.064

n=17

FV=1200(1+0.064)^17

FV=3444.9975

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3 years ago

For what values of the variables are the following expressions defined? 1. 5y+2 2. 18/y 3. 1/x+7 4. 2b/10−b Example: X>7

Serga [27]

Answer:

1. All real numbers

2. All real numbers except y = 0

3. All real numbers except x = -7

4. All real numbers except b = 10

Step-by-step explanation:

For any function to be defined at a particular value, it should not be approaching to a value $\infty$ or it should not give us the $\frac{0}{0}$ (zero by zero) form when the input is given to the function.

The value of function will depend on the denominator.

Now, let us consider the given functions one by one:

1. 5y+2

Here denominator is 1. So, it can not attain a value $\infty$ or $\frac{0}{0}$ (zero by zero) form

So, for all real numbers, the function is defined.

$2.\ \dfrac{18}{y}$

At y = 0, the value

$At\ y =0, \dfrac{18}{y} \rightarrow \infty$

So, the given function is defined for all real numbers except y = 0

$3.\ \dfrac{1}{x+7}$

Let us consider denominator:

x + 7 can be zero at a value x = -7

$At\ x =-7, \dfrac{1}{x+7} \rightarrow \infty$

So, the given function is defined for all real numbers except x = -7

$4.\ \dfrac{2b}{10-b}$

Let us consider denominator:

10-b can be zero at a value b = 10

$At\ b =10, \dfrac{2b}{10-b} \rightarrow \infty$

So, the given function is defined for all real numbers except b = 10

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3 years ago

Simplify. Write the expression using only positive exponents. 3d^−4⋅4d^4 PPPLLLLEEEASSSEEEEE

bixtya [17]

Answer:

d=0

Step-by-step explanation:

Because multiplication is commutative, we can rearrange the expression however we want. So, let's put the constant expressions together, and the variable expressions together:

(3 x 4) x (d^-4 x d^4)

The first term is easy enough: (3 x 4) = 12

For the second term, when exponent terms have the same "base" (in this case, d), the exponents can be added together. So, the second term yields d^(-4 + 4) = d^0. Any number raised to the zero power equals 1, EXCEPT for the sole number of zero. 0^0 is undefined, but any other number raised to the zero power equals 1.

So, if d equals any number other than zero, the expression becomes

(12) x (1) = 12

The best way to express the answer would be that the expression equals 12 except that it is undefined if d=0

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