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snow_lady [41]
1 year ago
11

What is the inequality shown?

Mathematics
1 answer:
Lady bird [3.3K]1 year ago
7 0

It shows the interval

[-2,8) or -2≤x<8

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In trapezoid EFGH, EF ≅ HG. What is the measure of the angle between Elm Street and Pine Avenue?
m_a_m_a [10]
Angle E is 72 degrees
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So what exactly is a,b,c
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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

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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}

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5 0
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Simplify.
irina1246 [14]
We have,
(2y)^3 × y^-1

Simplify the term (2y)^3

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Note: Using exponent product rule x^y × x^z = x^(y+z)

= 8y^{3+(-1)}
= 8y^(3-1)
= 8y^(3-1)
= 8y^2
3 0
3 years ago
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