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wolverine [178]
3 years ago
14

What is the slope of the line on the graph below?

Mathematics
2 answers:
olganol [36]3 years ago
7 0
Take two ordered pairs along the line and calculate the change in y over change in x or rise over run.

(0,-5)(3,-4)

-4-(-5) / (3-0)
1/3

Final answer: 1/3
lakkis [162]3 years ago
5 0
Find two pairs

(0,-5)(3,-4)

Find the gradient

(0-3)/(-5--4)
=3
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A ball, thrown vertically upwards, from the ground, has its height h (in meters) expressed as a function of time t (in seconds),
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Arisa [49]
''36'' atp molecules would be the answer
7 0
3 years ago
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
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