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polet [3.4K]
3 years ago
7

What is the missing step in the proof ?

Mathematics
1 answer:
Pie3 years ago
5 0

what is the thing and i can help

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Find the value of x such that 365 based seven + 43 based x = 217 based 10.
Pepsi [2]

We need to find the base x in the following equation:

365_7+43_x=217_{10}

First, lets convert 365 from base 7 to base 10. This is given by

365_7=3\times7^2+6\times7^1+5\times7^0

where the upperindex denotes the position of eah number. This gives

\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}

that is, 365 based 7 is equal to 194 bases 10.

Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

43_x=4\times x^1+3\times x^0

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

43_x=(4x+3)_{10}

Now, we have all number in base 10. Then, our first equation can be written in base 10 as

194_{10}+(4x+3)_{10}=217_{10}

For simplicity, we can omit the 10 and get

194+4x+3=217

so, we can solve this equation for x. By combining similar terms. we have

197+4x=217

and by moving 197 to the right hand side, we obtain

\begin{gathered} 4x=217-197 \\ 4x=20 \end{gathered}

Finally, we get

\begin{gathered} x=\frac{20}{4} \\ x=5 \end{gathered}

Therefore, the solution is x=5

8 0
1 year ago
If ordered pairs (a, -2) and (4, b) belong to set {(a, b): b=2a-8, find the value of a and b
wel

Answer:

a = 3   b = 0

Step-by-step explanation:

(a,-2)   b= -2

-2=2a -8

6=2a

3=a

(4,b)   a=4

b=2(4)-8

b=8-8

b=0

3 0
2 years ago
On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 3, 3), (1, 4), (1, negative 4),
hammer [34]

Answer:

3 points

Step-by-step explanation:

A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).

So the relation can be represented with points (x, y), which means that point x is being mapped into point y.

Such that the needed condition is that each element of the domain is mapped into only one element in the domain.

So for example, if for a relationship we have the points (a, b) and (a, c)

The point a is being mapped into two different outputs.

Now let's go to our problem, we have the points:

(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)

If we have repeated inputs, we need to remove points until we have one of each.

We can see that the inputs -3, 1, and 2 are repeated one time.

Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:

(-3, 2), (1, 4), and (2, -4)

This is a function.

Then we need to remove 3 points.

7 0
2 years ago
Read 2 more answers
Which of the following is the maximum value of the equation y = −x2 − x + 6?
Harman [31]

Answer:

I need the following to answer

Step-by-step explanation:

3 0
3 years ago
13
Elden [556K]

Answer:

Distance between the 2 planes is 17.8km

The bearing of B from A is 162°

Step-by-step explanation:

5 0
2 years ago
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