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worty [1.4K]
3 years ago
11

Graph y=5/3x -9 ......

Mathematics
2 answers:
tankabanditka [31]3 years ago
5 0
Y=mx+b
m=slope
b=y intercept

ok, graph the y intercept first
at y=-9
so at y=-9 on the y axis, put a point
basically graph (0,-9)

then, use the slope
slope=rise/run=5/3
from (0,-9), go up 5 units and to the right 3 units and put a point there
you will have put a point at (3,-4)

connect the 2 points ((0,-9) and (3,-4)) and now you have graphed it
alisha [4.7K]3 years ago
4 0
Put a point at -9 because that is the y-intercept.then from the point -9 count up 5 and count over 3.
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The solution of x^{2}-2 x+5=0 are 1 + 2i and 1 – 2i

<u>Solution:</u>

Given, equation is x^{2}-2 x+5=0

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Now, let us use the quadratic formula

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}  --- (1)

<em><u>Let us determine the nature of roots:</u></em>

Here in x^{2}-2 x+5=0 a = 1 ; b = -2 ; c = 5

b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16

Since b^2 - 4ac < 0 , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}

On solving we get,

x=\frac{2 \pm \sqrt{4-20}}{2}

x=\frac{2 \pm \sqrt{-16}}{2}

x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}

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\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0
3 years ago
If the volume of the right prism shown is 27 ft3, then h = __feet.
konstantin123 [22]

Answer:

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Step-by-step explanation:

To find the volume of a right angle prism-

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3 x 3 = 9

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Since we don't know the length of h, we need do:

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Hope I explained it okay:)

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2 years ago
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3 years ago
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Snezhnost [94]

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Step-by-step explanation:

If $40 is 100% then multiply it by 3 to get $120

7 0
2 years ago
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Serjik [45]
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3 years ago
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