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3 years ago

Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (-6,-1)

Mathematics

1 answer:

ikadub [295]3 years ago

3 0

Answer:

$y=5x+29$

Step-by-step explanation:

$y=mx+b$

Since the line is parallel, the slope, m, will be the same.

Use the point provided to find the y-intercept b:

$-1=5(-6)+b$

$-1=-30+b$

$b=29$

Now, we rewrite the equation:

$y=5x+29$

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9/20

Stella [2.4K]

Question:

Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0

Answer:

The number of real solutions for the equation $x^{2}+5 x+7=0$ is zero

Solution:

For a Quadratic Equation of form : $a x^{2}+b x+c=0$ ---- eqn 1

The solution is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now , the given Quadratic Equation is $x^{2}+5 x+7=0$ ---- eqn 2

On comparing Equation (1) and Equation(2), we get

a = 1 , b = 5 and c = 7

In $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ , $b^2 - 4ac$ is called the discriminant of the quadratic equation

Its value determines the nature of roots

Now, here are the rules with discriminants:

1) D > 0; there are 2 real solutions in the equation

2) D = 0; there is 1 real solution in the equation

3) D < 0; there are no real solutions in the equation

Now let solve for given equation

$D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3$

Since -3 is less than 0, this means that there are 0 real solutions in this equation.

4 0

3 years ago

Subtract. 1 2/5−(−3/5) Enter your answer, in simplest form, in the box.

mars1129 [50]

Answer:

3/5

Step-by-step explanation:

you need to subtract the two fractions then you can divide them by 2 to make them in their simplest form!

HOPE THIS HELPS!!!

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3 years ago

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(2x+5)^2 is it 4x^2+20x+25?

Daniel [21]

Yes that’s your answer!! Good job!!

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3 years ago

What is the measure of ∠X? 69° 111° 180° 21°

vazorg [7]

Answer:

The angle measure is 111 degrees.

Step-by-step explanation:

Opposite angles confined within a circle and a square will be equal to 180. In this case, since angle Z is equal to 69, angle x is 180.

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3 years ago

A three digit divisible by 3,5 and 6

kondaur [170]

Your answer is three hundred and thirty six (336)

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3 years ago

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