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3 years ago

Solve the following quadratic equation.

Mathematics

1 answer:

Viktor [21]3 years ago

3 0

Answer:

x = -7 and 7

Step-by-step explanation:

4x^2-10=186 add 10 on each side

4x^2 =196 divide by 4 on each side

x^2 = 49 take a √ on each side

x = -7,7

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3 years ago

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3 years ago

Solve for x 2/3 (x - 2) = 4x

cluponka [151]

Answer:

$-\frac{2}{5} =x$

Step-by-step explanation:

$\frac{2}{3} (x-2)=4x$

First, solve the brackets.

$\frac{2x}{3}-\frac{4}{3} =4x$

$\frac{2x-4}{3} =4x$

Now you can use cross multiplication.

$\frac{2x-4}{3} =\frac{4x}{1}$

$2x-4=3*4x$

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Now take 2x to the other side.

$-4=12x-2x$

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Now let us make the fraction in it's simplest form.

For that divide both sides by 2.

$-\frac{2}{5} =x$

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2 years ago

What is the equation of a line that is parallel to (8, 5) and (7, 5) but goes through the point (2, -6)?

anygoal [31]

Answer:

y = 5

Step-by-step explanation:

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3 years ago

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Determine the length of the line segment shown. line segment from negative 10 comma 9 to 5 comma negative 1 4 units 18 units 19

user100 [1]

The length of the line segment is (b) 18 units

<h3>How to determine the length of the line segment?</h3>

The line segment is given as

ine segment from negative 10 comma 9 to 5 comma negative 1

This can be rewritten as

line segment from (-10, 9) to (5, -1)

The length of the line segment is then calculated using the following distance formula

distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where

(x, y) = (-10, 9) to (5, -1)

Substitute the known values in the above equation, so, we have the following representation

Length = √[(-10 - 5)² + (9 + 1)²]

Evaluate

Length = 18

Hence, the length is 18 units