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3 years ago

What is the soution of (Image below)

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

8 0

Answer:

Step-by-step explanation:

Starting with the original equation:

$\sqrt{1-3x} =x+3$

Squaring both sides to remove the root, and expanding the right side:

$1-3x=(x+3)(x+3)$

Multiplying the right side:

$1-3x=x^{2} +6x+9$

Combine like terms:

$x^{2} +9x+8$

Factor:

(x+8)(x+1)

If x+8=0, then x= -8

If x+1=0, then x=-1

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Write an equation of a line perpendicular to the line y = -1/5x -3 and goes through the point (6,2), then use Point- Slope form

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Answer:

The equation of the line would be y = 5x - 28

Step-by-step explanation:

First, we need to know that perpendicular lines have opposite and reciprocal slopes. Give that information, we know that the new line will be the reciprocal and opposite of -1/5. This would be 5. Now that we have that information, we can use it along with a point to fill in the point-slope form of the equation.

y - y1 = m(x - x1)

y - 2 = 5(x - 6)

Then we must solve for y.

y - 2 = 5(x - 6)

y - 2 = 5x - 30

y = 5x - 28

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Find the missing section. Answers must be in fraction form.

frozen [14]

Answer:

$\frac{1}{10}$

Step-by-step explanation:

We have a circle that is split in three sections, two of which we know and we are asked to find the third missing section.

For the circle, we know that 4/5 and 1/10 is fit. Now we need the last one, to solve, we need to get the same denominator and see how much is missing.

Since 1/10 is our highest denominator, let's change 4/5 to have 10 as a denominator. Which would be through multiplying 5 to get 10.

What times 5 equals 10?

Now multiply both numerator and denominator by 2 to get our portion.

$\frac{4*2}{5*2}$