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3 years ago

Please help me with this it was due 3 days ago

Mathematics

1 answer:

professor190 [17]3 years ago

6 0

Some things to know
point slope form: for a line passing through (x1,y1) and the slope is m
y-y1=m(x-x1)

horizontal lines are y=constant

y=mx+b, m is slope and b is y intercept

the slope of the line that passes through the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)

1.
y-2=2/3(x-(-3))
y-2=2/3(x+3)

2.
find slope
(-2-3)/(6-(-4))=(-5)/(6+4)=-5/10=-1/2
a point isi (-4,3) and slope is -1/2
y-3=-1/2(x-(-4))
y-3=-1/2(x+4)

3.
yintercept of 2 means (0,2) is a point
find slope between (0,2) and (12,4)
(4-2)/(12-0)=2/12=1/6
a point is (12,4)
y-4=1/6(x-12)

4.
horizontal is y=something
(x,y)
(-2,-9)
we have y=-9
y=-9 is the equaiton

5.
y=-2x+3
y=mx+b
-2 is slope
a point is (-6,2)
y-2=-2(x-(-6))
y-2=-2(x+6)

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Novosadov [1.4K]

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Approximately 5 meters long.

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You are asked to cut a 180-inch piece of rope into 60,3-inch sections. If it takes 1 minute to make each cut, how many minutes w

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4 years ago

1)Convert the following binary numbwers into decimal number(only a,b,c,f,i)

kozerog [31]

Answer:

a) 3₁₀

b) 6₁₀

c) 7₁₀

f) 19₁₀

i) 181₁₀

Step-by-step explanation:

Binary to Decimal Conversion (Positional Notation Method)

Multiply each digit by the base (2) raised to the power dependent upon the position of that digit in the binary number.
Sum all the values obtained for each digit.
Express the number as a decimal number by placing subscript 10 after it.

For a binary number with 'n' digits:

The right-most digit is multiplied by 2⁰
The left-most digit is multiplied by $\sf 2^{n-1}$

For example, to convert the binary number 111001₂ into a decimal:

$\begin{array}{ c c c c c c}1 & 1 & 1 & 0 & 0 & 1\\\downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\2^5 & 2^4 & 2^3 & 2^2 & 2^1 & 2^0\\\end{array}$

Multiply each digit by the base (2) raised to the power as indicated above and sum them:

$=(1 \times 2^5)+(1 \times 2^4)+(1 \times 2^3)+(0 \times 2^2)+(0 \times 2^1)+(1 \times 2^0)$

$= 32+16+8+0+0+1$

$= 57$

Finally, express as a decimal number ⇒ 111001₂ = 57₁₀

Question (a)

$\begin{aligned}\implies 11_2 & = (1 \times 2^1)+(1 \times 2^0)\\& = 2+1\\& = 3\end{aligned}$

Therefore, 11₂ = 3₁₀

Question (b)

$\begin{aligned}\implies 110_2 & = (1 \times 2^2)+(1 \times 2^1)+(0 \times 2^0)\\& = 4+2+0\\& = 6\end{aligned}$

Therefore, 110₂ = 6₁₀

Question (c)

$\begin{aligned}\implies 111_2 & = (1 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =4+2+1\\& = 7\end{aligned}$

Therefore, 111₂ = 7₁₀

Question (f)

$\begin{aligned}\implies 10011_2 & =(1 \times 2^4)+(0 \times 2^3)+ (0 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =16+0+0+2+1\\& = 19\end{aligned}$

Therefore, 10011₂ = 19₁₀

Question (i)

$\phantom{)))}10110101_2 \\\\=(1 \times 2^7)+(0 \times 2^6)+(1 \times 2^5)+(1 \times 2^4)+(0 \times 2^3)+ (1 \times 2^2) +(0 \times 2^1)+(1 \times 2^0)\\\\=128+0+32+16+0+4+0+1\\\\= 181$

Therefore, 10110101₂ = 181₁₀

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2 years ago

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