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3 years ago

8

A wise man once said, "400 reduced by 4 times my age is 8." What is his age?

1 answer:

Mrac [35]3 years ago

8 0

Answer:

1,600 years old I think

Step-by-step explanation:

You might be interested in

How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?

Arturiano [62]

Answer:

$y = \frac{2}{3} x + 2$

Step-by-step explanation:

Start by finding the slope of the given line.

$\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

Slope of given line

$= \frac{5 - ( - 1)}{ - 2 - 2}$

$= \frac{5 + 1}{ - 4}$

$= \frac{6}{ - 4}$

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

A perpendicular bisector cuts through the line at its midpoint perpendicularly.

The product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

$- \frac{3}{2} m = - 1$

$m = - 1 \div ( - \frac{3}{2} )$

$m = - 1 \times ( - \frac{2}{3} )$

$m = \frac{2}{3}$

$y = \frac{2}{3}x + c$ , where c is the y-intercept.

To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.

$\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}$

Midpoint of given line

$= ( \frac{ - 2+ 2}{2} , \frac{5 - 1}{2} )$

$=( \frac{0}{2} , \frac{4}{2} )$

= (0, 2)

$y = \frac{2}{3} x + c$

When x= 0, y= 2,

2= ⅔(0) +c

2= 0 +c

c= 2

Thus, the equation of the perpendicular bisector is $y = \frac{2}{3} x + 2$ .

7 0

3 years ago

43 +62 +57 + m / 4 = 55

ahrayia [7]

The answer is .. m= -428

7 0

3 years ago

A student completes about 8 problems every 3 minutes. At this rate, how long will it take the student to complete 20 problems?

storchak [24]

Answer:

7

Step-by-step explanation:

5 0

3 years ago

3(m - n + 2) + 6 - m

julia-pushkina [17]

Step-by-step explanation:

8 0

3 years ago

1. is he equation true , false, or open

RideAnS [48]

Question 1:

For this case we have the following equation:

$5x ^ 2 = 6x + 11$

We observe that the equation is a polynomial of the second degree.

Therefore, the equation has two possible solutions.

The variable of the equation for this case is x.

In this case, we have an open equation because we have a variable.

Rewriting the equation we have:

$5x ^ 2 - 6x - 11 = 0$

Answer:

open, there is a variable.

Question 2:

For this case we have the following equation:

$2-8x = -6$

From here, we must clear the value of x.

For this, we follow the following steps:

1) Pass the value of 8x adding:

$2 = -6 + 8x$

2) Pass the value of 6 adding:

$2 + 6 = 8x$

3) Add the values on the same side of equality:

$8x = 8$

4) Pass the 8 to divide:

$x = \frac{8}{8} = 1$

Answer:

The value of x is given by:

$x = 1$

Question 3:

For this case we have the following equation:

$y = x-4$

The ordered pair solution is the one that satisfies both sides of the equation.

For the point (6, 2) we have:

$x = 6 y = 2$

Substituting values we have:

$2 = 6-4 2 = 2$

We observe that both sides of the equation are equal.

Therefore, the ordered pair solution is (6, 2)

Answer:

An ordered pair that is a solution of the equation y = x-4 is:

(6, 2)

3 0

3 years ago

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