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Goryan [66]
3 years ago
6

Graph a line with a slope of 3 that goes through the point (1, 3).

Mathematics
1 answer:
ryzh [129]3 years ago
8 0

Answer:

Step-by-step explanation:

The slope intercept form of a line is y=mx+b where m is the slope and b is the y intercept. We are given a slope of three so

y=3x+b, using point (1,3) we can solve for b

3=3(1)+b, 3-3=0 so b=0 then our line is

y=3x

The x intercept is when y=0 and this occurs when x=0 or the point (0,0)

The y intercept occurs when x=0, this occurs when y=0 or the point (0,0)

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Check the picture below.

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4 years ago
What is the simplified form of the following expression? 10abc^2 sqrt 49a^2b^2c^2
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10abc^2\sqrt{49a^2b^2c^2}=70a^2b^2c^3 

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 

10abc^2\sqrt{49a^2b^2c^2} 

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3 years ago
The average mass of an ant is approximately 3 × 10 − 3 grams. The average mass of a giraffe is approximately 2 × 10 3 kilograms.
Vika [28.1K]

Given that average mass of an ant = 3 \times 10^{-3}grams.

Given that average mass of a giraffe = 2 \times 10^{3} Kilograms.

Now we have to find about how many times more mass does a giraffe have than an ant. Before carring out any comparision, we must make both units equal.

Like convert kilogram into gram or gram into kilogram.

I'm going to convert kilogram into gram using formula

1 Kg = 1000 g


So the average mass of a giraffe = 2 \times 10^{3} *10^3 grams.


Now we just need to divide mass of giraffe by mass of ant to find the answer.

\frac{2 \times 10^{3} *10^3 }{3 \times 10^{-3} }

= \frac{2 \times 10^{3} *10^3 *10^{3}}{3  }

= \frac{2 \times 10^{3+3+3}}{3  }

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Step-by-step explanation:

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