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kifflom [539]
3 years ago
11

Will give brainlist if correct.

Mathematics
2 answers:
Serggg [28]3 years ago
8 0

Answer:

D;  y = \frac{4}{7}x

Step-by-step explanation:

1. Slope-intercept form

The general formula of a line is;

y = mx + b

Where "m" is the slope, and "b" is the y-intercept.

2. Slope

The slope of a line is;

\frac{rise}{run}

The slope of the given line is; \frac{4}{7}. This is because the line goes up 4 units, and over to the right by 7 units.

3. Intercept

This line passes through the origin, meaning it has no y-intercept.

4. Putting it together

Substitute in the value found, into the general equation.

y - mx + b

m = \frac{4}{7}

b = 0

Hence the equation of the line is;

y = \frac{4}{7}x + 0

y = \frac{4}{7}x

boyakko [2]3 years ago
7 0

Answer:

d

Step-by-step explanation:

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-84+28=-56

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Answer:

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Step-by-step explanation:

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A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec
Paraphin [41]

Answer:

A. The solutions are x=3i,\:x=-3i.

B. The factored form of the quadratic expression x^2+9=(x-3i)(x+3i)

Step-by-step explanation:

A. To find the solutions to the quadratic equation x^2+9=0 you must:

\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}

x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i

The solutions are:

x=3i,\:x=-3i

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor x^2+9:

First, multiply the constant in the polynomial by i^2 where i^2 is equal to -1.

x^2+9i^2

Since both terms are perfect squares, factor using the difference of squares formula

a^2-i^2=(a+i)(a-i)

x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)

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