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3 years ago

Need help for 7) 8)10)and 11) Solve each equation and check. Show all work please

Mathematics

1 answer:

Nutka1998 [239]3 years ago

8 0

Answer:

x= - 1 ; z = - 9

Step-by-step explanation:

The requester asked for 8 and 11, but I can't see the problem in the picture.

Here are 7 and 10:

#7 5x - 4x + 2 = 1

Combine 5x and -4x to get x

x + 2 = 1

Subtract 2 from both sides

x = -1

#10 -40/2 = z - 11

Simplify -40/2 to get -20

-20 = z - 11

Add 11 to both sides

z = -9

If you want 8 and 11, reupload the problem with a picture that includes them.

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
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Left to Right

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

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What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2? x = (

Crank

The x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.

<h2>We have to determine</h2>

What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?

<h3>According to the question</h3>

A line segment at points A(2, -3) and B (-4, 9).

The x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2 is given by;

$\rm x=\dfrac{m}{(m+n)} [x_2- x_1]+ x_1 \\
\\
 y=\dfrac{m}{(m+n)} [y_2- y_1]+ y_1 \\
\\$

Where $\rm x_1 = 2 , \ x_2 =-4, \ y_1 =-3, \ y_2 = 9$

Substitute all the values in the formula;

$\rm x=\dfrac{m}{(m+n)} [x_2- x_1]+ x_1 \\\\$

$\rm x=\dfrac{1}{(1+2)} [-4-(2)]+ (2)\\\\ x = \dfrac{1}{3} \times (-6) +2 \\
\\
x = -2+2\\
\\
x=0$

$\rm y=\dfrac{m}{(m+n)} [y_2- y_1]+ y_1 \\\\ y=\dfrac{1}{(1+2)} [9-(-3)]+ (-3)\\\\
y = \dfrac{1}{3} \times (12) -3\\
\\
y = 4-3\\
\\
y =1$

Hence, the x =0 and y = 1 are coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2.

To know more about Coordinates click the link given below.

brainly.com/question/13847533

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