1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sertanlavr [38]
3 years ago
13

Help me please justify each step 9x/4=-9 9x=-36 x=-4

Mathematics
2 answers:
Nesterboy [21]3 years ago
6 0

\dfrac{9x}{4}=-9\ \ \ |\text{Multiplication Property of Equality}\\\\4\cdot\dfrac{9x}{4}=4\cdot(-9)\\\\9x=-36\ \ \ \ |\text{Division Property of Equality}\\\\\dfrac{9x}{9}=\dfrac{-36}{9}\\\\x=-4

aleksandrvk [35]3 years ago
3 0

Answer:

The justification is mentioned below.

Step-by-step explanation:

Given equation,

\frac{9x}{4}=-9

Multiply both sides by 4 ( multiplicative property of equality ),

\frac{9x}{4}\times 4 = -9\times 4

9x=-36

Divide both sides by 9 ( division property of equality )

\frac{9x}{9}=\frac{-36}{9}

x=-4

You might be interested in
Tell whether the ordered pair is a solution of the linear system. (-4,-6); -3x+y=6, -2x+y=-8
harkovskaia [24]
Plug them in... -4=x -5=y

-3x-4+-6=6 (check)
-3x-4=12-6=6 (ordered pair works with this equation)

-2x-4+-6=-8 (check)
-2x-4=8-6=2 (ordered pair does not work with this equation)

Therefore the ordered pair IS NOT the solution.

Hope this helps :)

8 0
3 years ago
Determine the length of GH. Round to the nearest tenth.<br> 3.9 cm<br> G<br> 52<br> 642<br> H
sesenic [268]

Answer:

|GH| = 5,7 cm

Step-by-step explanation:

To know |GH|, you first need to find the length of |GD|.

We can calculate |GD| by;

cosG = |GC| / |GD|

<=> |GD| = |GC| / cosG

 => |GD| = 3,9 cm/ 0,62 = 6,33 cm

We now can easily calculate |GH| with the sinus of angle D;

sinD = |GH| / |GD|

<=> |GH| = sinD.|GD|

 => |GH| = 0,899.6,33 cm = 5,694 cm => 5,7 cm

I hope i did not make a mistake ...

5 0
3 years ago
It takes 15 electricians 24 days to wire a new housing subdivision. how many days would 18 electricians require to do the same j
Romashka [77]
15 electricians worked for 24 days to the whole job, now, there are 15 of them, so on any given day, each electrician worked one whole day, in 24 days, that one electrician worked 24 days total.

now, there were 15 electricians on any given day though, since each one of them worked the whole day that one day, so the "days work worth" on a day is 15, so the house gets 15days worth of work because of that.

so how many "days worth" did all 15 do on the 24 days, well, 15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15+15, namely 15 * 24, or 360 days worth of work.

since it takes 360 days worth of work to do the whole wiring, in how many days would 18 electricians do it?   360/18.
4 0
3 years ago
Read 2 more answers
What is the solution for the system of equations
OLEGan [10]
First, it depends how you want to solve the system. The easiest way is to solve by elimination. Eliminate the 2 s. Therefore, 4x = 8. Divide by 4 to find x. After dividing by 4, x=2. To find the y plug in 2 for x in the original equation. Try for the first one. 2 +2y =3. Subtract 2 from both sides of the equation. Then you get 2y =1. Divide by 2 in both sides and you get y = 1/2.
3 0
3 years ago
Read 2 more answers
Determine the slope of a
AysviL [449]

Answer:

<em>m</em> = 3/5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2-y_1}{x_2-x_1}
  • Perpendicular lines are the negative reciprocal of the given line

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point G(-2, 3)

Point H(1, -2)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

<em />

<em>Line GH</em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{-2-3}{1--2}
  2. [Fraction] Subtract:                                                                                           \displaystyle m = \frac{-5}{3}

<em>Perpendicular line</em>

  1. Negative:                                                                                                           \displaystyle m = \frac{5}{3}
  2. Reciprocate:                                                                                                      \displaystyle m = \frac{3}{5}
4 0
2 years ago
Other questions:
  • A total of 6.825 inches of snow fell during a storm. The snow fell at an average rate of 1.3 inches per hour. For how many hours
    14·2 answers
  • Davey built a bookshelf 36 in. long. Can the shelf hold a set of encyclopedias if there are 24 books and each book averages 5/4
    15·1 answer
  • If a table and a bench is $1000 combined. The cost of the table is three times the cost of the bench. What is the cost of the be
    15·1 answer
  • A Rectangular piece of sheet Metal has an area of 10,680 in.² its length is 72.0 in. find it width
    6·1 answer
  • The product of 7/8 and 9/10 is greater then 9/10
    15·2 answers
  • What number times another number equals 56
    14·2 answers
  • You pick a card at random, put it back, and then pick another card at random. What is the probability of picking a number greate
    11·1 answer
  • Find the common difference of the arithmetic sequence 13, 16, 19,...13,16,19,...
    14·1 answer
  • Question:
    7·1 answer
  • Dont tell me the Answer but walk me through the steps plz
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!