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4 years ago

3x^2=2x+5 in standard form

Mathematics

1 answer:

borishaifa [10]4 years ago

7 0

Answer:

Answer is given below with explanations.

Step-by-step explanation:

$given \: equation \: is \: \\ 3 {x}^{2} = 2x + 5 \\ to \: find \: standard \: form \: of \: equation \\ subtracting \: 2x + 5 \: on \: both \: sides \: we \: get \\ 3 {x}^{2} - (2x + 5) = 0 \\ 3 {x}^{2} - 2x - 5 = 0 \\ this \: is \: the \: standard \: form \: of \: equation.$

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The circle given by : x^2 + y^2 - 6y - 12 = 0 can be written as:

deff fn [24]

Step-by-step explanation:

Given equation of circle is,

${x}^{2} + {y}^{2} - 6y - 12 = 0 \\ by \: compairing \: it \: with \: \\ {x}^{2} + {y}^{2} + 2gx + 2fy = 0 \: we \: get \\2 g = 0 \: or \: g = 0 \\ 2f= - 6 \\ or \: f= - 3 \\ c = - 12$

again the another form of circle is,

${x}^{2} + {(y - k)}^{2} = 21 \\ or \: {x}^{2} + {y}^{2} - 2ky + {k}^{2} - 21 = 0 \\ by \: compairing \:it \: with \: \\ {x}^{2} + {y}^{2} + 2gx + 2fy = 0 \: we \: get \\ g = 0 \\f = - k \\ c = {k}^{2} - 21$

now equating the values of f in both equations,

-k=-3

i.e. k=3

therefore k=3

4 0

4 years ago

Write the equation for a line that has an initial value of 3 and 3/4 as it’s rate of change

frutty [35]

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

initial value of 3, namely when x = 0, y = 3, so we have the point (0 , 3) and it has a rate or slope of 3/4.

$(\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{\cfrac{3}{4}}(x-\stackrel{x_1}{0})\implies y=\cfrac{3}{4}x+3$

3 0

3 years ago

Troy has 8 points in a game. Then he gets more points. Now he has 12 points. How many more points does he get?

galina1969 [7]

Answer:

4 points additional

Step-by-step explanation:

12 = p + 8

-8 - 8

__________

4 = p

I am joyous to assist you anytime.

5 0

3 years ago

Read 2 more answers

If y = x 2 - 4 is being graphed using the table method, what is the y-value generated when x = - 2 ?

Arada [10]

Answer:

(There's a confusion here, is x 2 x times 2? The answer and explanation are based on x multiply by 2)

y = -8

Step-by-step explanation:

Substitution Method-

y = x 2 - 4

x = -2

y = (-2) 2 - 4

PEMDAS - parentheses; exponents; Multiplication & Division; Addition & Subtraction

we are going to multipl -2 and 2 together ---> -4

y = -4 - 4

Same sign add, different sign subtract.

Same sign keep the sign, different sign keep the larger.

y = -8

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3 0

2 years ago

Help! Can anyone Simplify this for me

Tcecarenko [31]

64x $^{6}$ y $^{12}$

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4 years ago