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romanna [79]
2 years ago
6

18x + 3° ( 10x - 27) Find the measure of each indicated angle

Mathematics
1 answer:
Natali [406]2 years ago
7 0

Answer:

48x-81

Step-by-step explanation:

18x+3(10x-27)

Then distribute

18x+30x-81

Combine like terms

Final Answer: 48x-81

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Write a equation of a hyperbola given the foci and the asymptotes
professor190 [17]

Solution:

The standard equation of a hyperbola is expressed as

\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\text{ \lparen parallel to the x-axis\rparen} \\ \frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ \lparen parallel to the y-axis\rparen} \end{gathered}

Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.

Thus, the equation will be expressed in the form:

\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ ----equation 1}

The asymptote of n hyperbola is expressed as

y=\pm\frac{a}{b}(x-h)+k

Given that the asymptotes are

y=\frac{3}{4}x\text{ and y=-}\frac{3}{4}x

This implies that

a=3,\text{ and b=4}

To evaluate the value of h and k,

undefined

3 0
1 year ago
There is a spinner with 10 equal areas, numbered 1 through 10. If the spinner
Ksenya-84 [330]

Answer:

10%

Step-by-step explanation:

The multiples of 2 are 2,4,6,8,10, and so on

The multiples of 5 are 5, 10, 15, 20 , 25, and so on

It is evident that the only one that matches up between 1-10 is 10.

There are 10 options, and our chances are random. There is only 1 option for it to be a multiple of both 2 and 5. Therefore, the probability is 1/10, or 10%

3 0
3 years ago
Explain when you must write the number 1, and when you do not need to.
stepan [7]

Answer:

The number 1 is not necessary when expressing powers of one. For example, you needn't write "5" as 5^{1}.

Step-by-step explanation:

7 0
3 years ago
Solve for x.<br> 13(x-3) = 39<br> X=1<br> X=4<br> x=6<br> x=10
Valentin [98]
13 factored out is 13x - 39 add 39 to both sides it equals 13x=78 and 78 divided by 13 is 6 the anwser is x=6
7 0
2 years ago
I really need help on how to complete the square
Leya [2.2K]
Omg what level are you that is so hard
4 0
3 years ago
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