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guapka [62]
3 years ago
9

What is the equation of a line with a slope of 1/2 and a point (3, 1) on the line?

Mathematics
1 answer:
dezoksy [38]3 years ago
6 0
Pattern of the equation = y = mx+b
Here, m = 1/2
So, y = 1/2x + b
Now, calculating for b,
1 = 1/2 * 3 + b
b = 1 - 3/2 = -1/2

So, equation will be: y = 1/2x - 1/2

Hope this helps!
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What is (0.2 + -5) x (4.1) ?
nevsk [136]

Answer:

-19.68

Step-by-step explanation:

(0.2 + (-5) × (4.1)

-4.8 × (4.1)

-19.68

6 0
3 years ago
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Simplify the imaginary number sqr -75
m_a_m_a [10]

Answer:

5i\sqrt{3}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

and \sqrt{-1} = i

Given

\sqrt{-75}

= \sqrt{25(3)(-1)}

= \sqrt{25}  × \sqrt{3} × \sqrt{-1}

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3 0
3 years ago
The ratio between the radius of the base and the height of the cylinder is 2:3.if its volume is 1617cm^3,the total surface area
zalisa [80]
The answer is 769.3 cm²

The volume of the cylinder is : V = π r² h
<span>The ratio between the radius of the base and the height of the cylinder is 2:3:
r/h = 2/3
h = 3/2r

V = 1617 cm
</span>π = 3.14

1617 = πr² * 3/2 r
1617 = πr³ * 3/2
1617 * 2/3 = πr³
1078 = πr³
r³ = 1078/π = 1078/3.14 = 343
r = ∛343 = 7 cm

h = 3/2r = 3/2 * 7 = 10.5 cm


The surface area of the cylinder is:
SA = 2πr² + 2πrh
      = 2 * 3.14 * 7² + 2 * 3.14 * 7 * 10.5
      = 307.72 + 461.58
      = 769.3 cm²
5 0
3 years ago
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snow_lady [41]

51.5 Hectograms + 5100 Grams
51,500 Decigrams = 5100 Grams

They have same mass because they equal each other.

5 0
3 years ago
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Which equation represents a linear function?<br> x= 3<br> y=-3x + 10<br> y = 150<br> y = 3x2 + 1
umka21 [38]
Y=-3x+10 follows the format of linear functions which is y=mx+b
7 0
3 years ago
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