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3 years ago

Pls help need to pass lesson

Mathematics

1 answer:

kotegsom [21]3 years ago

7 0

Answer:

Explanation below

Step-by-step explanation:

First Degree Equations

A first-degree equation can have one, none, or infinitely many solutions.

An equation like

2x + 3 = -x + 6

Has one solution: x=1

An equation like:

4x + 2 = 4x + 1

Has no solutions because when trying to solve for x we get:

2 = 1

This equality is false and no value of x can make it true

Finally, the equation:

3x + 2 = x + 2x + 2

Has infiniteyl many solutions, because when trying to solve it, we get:

2 = 2

Which is true regardless of the value of x

The first given equation:

3x + 9 + 4x + x = ??

can be simplified as:

8x + 9 = ??

For this equation not having solutions, we should have 8x plus any number but 9 on the right side of the equation:

8x + 9 = 8x -3, or

8x + 9 = 8x + 4

The second given equation:

3x + 9 + 4x + x = ??

can be simplified as:

8x + 9 = ??

If the equation has one solution, the only condition is that we should not have 8x on the right side. Thus any of those will do:

8x + 9 = 3x + 9

8x + 9 = -x + 5

8x + 9 = 0

The third equation:

3x + 9 + 4x + x = ??

can be simplified as:

8x + 9 = ??

For this equation to have infinitely many solutions, the right side must be exactly equal to the left side:

8x + 9 = 8x + 9

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-5 + x =3 solve for x PLEASE HELP ME ASAP

hram777 [196]

Answer:

x = 8

Step-by-step explanation:

Step 1: Write equation

-5 + x = 3

Step 2: Solve for x

Add 5 to both sides: x = 8

Step 3: Check

Plug in x to verify it's a solution.

-5 + 8 = 3

3 = 3

5 0

3 years ago

Part B

alisha [4.7K]

Question:

Consider ΔABC, whose vertices are A (2, 1), B (3, 3), and C (1, 6); let the line segment AC represent the base of the triangle.

(a) Find the equation of the line passing through B and perpendicular to the line AC

(b) Let the point of intersection of line AC with the line you found in part A be point D. Find the coordinates of point D.

Answer:

$y = \frac{1}{5}x + \frac{12}{5}$

$D = (\frac{43}{26},\frac{71}{26})$

Step-by-step explanation:

Given

$\triangle ABC$

$A = (2,1)$

$B = (3,3)$

$C = (1,6)$

Solving (a): Line that passes through B, perpendicular to AC.

First, calculate the slope of AC

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$A = (2,1)$ --- $(x_1,y_1)$

$C = (1,6)$ --- $(x_2,y_2)$

The slope is:

$m = \frac{6- 1}{1 - 2}$

$m = \frac{5}{-1}$

$m = -5$

The slope of the line that passes through B is calculated as:

$m_2 = -\frac{1}{m}$ --- because it is perpendicular to AC.

So, we have:

$m_2 = -\frac{1}{-5}$

$m_2 = \frac{1}{5}$

The equation of the line is the calculated using:

$m_2 = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$m_2 = \frac{1}{5}$

$B = (3,3)$ --- $(x_1,y_1)$

$(x_2,y_2) = (x,y)$

So, we have:

$\frac{1}{5} = \frac{y - 3}{x - 3}$

Cross multiply

$5(y-3) = 1(x - 3)$

$5y - 15 = x - 3$

$5y = x - 3 + 15$

$5y = x +12$

Make y the subject

$y = \frac{1}{5}x + \frac{12}{5}$

Solving (b): Point of intersection between AC and $y = \frac{1}{5}x + \frac{12}{5}$

First, calculate the equation of AC using:

$y = m(x - x_1) + y_1$

Where:

$A = (2,1)$ --- $(x_1,y_1)$

$m = -5$

So:

$y=-5(x - 2) + 1$

$y=-5x + 10 + 1$

$y=-5x + 11$

So, we have:

$y=-5x + 11$ and $y = \frac{1}{5}x + \frac{12}{5}$

Equate both to solve for x

i.e.

$y = y$

$-5x + 11 = \frac{1}{5}x + \frac{12}{5}$

Collect like terms

$-5x -\frac{1}{5}x = \frac{12}{5} - 11$

Multiply through by 5

$-25x-x = 12 - 55$

Collect like terms

$-26x = -43$

Solve for x

$x = \frac{-43}{-26}$

$x = \frac{43}{26}$

Substitute $x = \frac{43}{26}$ in $y=-5x + 11$

$y = -5 * \frac{43}{26} + 11$

$y = \frac{-5 *43}{26} + 11$

Take LCM

$y = \frac{-5 *43+11 * 26}{26}$

$y = \frac{71}{26}$

Hence, the coordinates of D is:

$D = (\frac{43}{26},\frac{71}{26})$

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Ginoni the goat is at the bottom of a series of 7

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Answer:

i have oily skin (no i dont lol)

Step-by-step explanation:

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3 years ago

A population of bees is decreasing. The population in a particular region this year is 1250. After year 1, it is estimated that

ruslelena [56]

Answer:

1250 => 250 ( subtracted from the balance population )

1000 => 300

800 => 350

450. => 400

50.

So it will take around 5 years I think to be below 100.

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3 years ago

45 of the 75 seniors have jobs. What percent of the seniors have jobs

Strike441 [17]

Step-by-step explanation:

Try to simplify 45/75 as much as you can, or just use a calculator. Then, multiply your result by 100% to get the answer.

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3 years ago