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
const2013 [10]
3 years ago
7

Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36 Step 1 ⇒ 3x − 12 +

5x = 9x − 36 Step 2 ⇒ 3x + 5x − 12 = 9x − 36 Step 3 ⇒ 8x − 12 = 9x − 36 Step 4 ⇒ 8x − 8x − 12 = 9x − 8x − 36 Step 5 ⇒ 0 − 12 = x − 36 Step 6 ⇒ −12 = x − 36 Step 7 ⇒ −12 + 36 = x − 36 + 36 Step 8 ⇒ 24 = x + 0 Step 9 ⇒ 24 = x Which property yields Step 2? A) Additive Inverse Property B) Additive Identity Property C) Addition Property of Equality D) Commutative Property of Addition
Mathematics
1 answer:
Archy [21]3 years ago
7 0

Answer:

Commutative Property of Addition

Step-by-step explanation:

3(x − 4) + 5x = 9x − 36

3x − 12 + 5x = 9x − 36  Distribute

3x + 5x − 12 = 9x − 36 Commutative Property of Addition

You might be interested in
What is the sign of the product (3)(-3) and (2) (4)
SashulF [63]

Answer:

23 maybe

Step-by-step explanation:

3 0
3 years ago
Given that El bisects ZCEA, which statements must be
Alexxx [7]

Question: Given that BE bisects ∠CEA, which statements must be true? Select THREE options.

(See attachment below for the figure)

m∠CEA = 90°

m∠CEF = m∠CEA + m∠BEF

m∠CEB = 2(m∠CEA)

∠CEF is a straight angle.

∠AEF is a right angle.

Answer:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

Step-by-step explanation:

Line AE is perpendicular to line CF, which is a straight line. This creates two right angles, <CEA and <AEF.

Angle on a straight line = 180°. Therefore, m<CEA + m<AEF = m<CEF. Each right angle measures 90°.

Thus, the three statements that must be TRUE are:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

3 0
3 years ago
Yall know the rate of change?
ale4655 [162]

Answer:

M=-3

Step-by-step explanation:

Slope:

y2-y1/x2-x1

-3-3/1+1=6/-2=-3

4 0
2 years ago
Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ
Deffense [45]

Answer:

\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}

Step-by-step explanation:

Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}

\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16

\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i

6 0
3 years ago
Read 2 more answers
What is the sum? …………….
aniked [119]
5 over y plus 5. you combine the fractions by finding the common denominator
4 0
3 years ago
Other questions:
  • Carmen simplifies the expression (4y+ 8x+ 6)+ 25+(4x+ 6y+ 7). The coefficient of the variable y in her simplified answer is
    8·2 answers
  • I need help resolving this please.<br><br> 8=4(q-2)+4
    5·1 answer
  • To determine whether or not they have a certain desease, 100 people are to have their blood tested. However, rather than testing
    13·1 answer
  • PLEASE HELP FAST!!!
    13·1 answer
  • ghexdhdxdhhFRE.E BRAINLIESThgdvbdnsjebdshwydsbshssbegdvdbghexdhdxdhhFRE.E BRAINLIESThgdvbdnsjebdshwydsbshssbegdvdbghexdhdxdhhFRE
    15·1 answer
  • Solve.<br> 9 + 7x = 7x^2
    11·1 answer
  • Vita has a piece of ribbon that is 5 meters long. She cuts the ribbon into pieces that are each 1/3 meter long. How many pieces
    13·1 answer
  • Question 3 of 10
    8·1 answer
  • Evaluate x square2 +12,when x=3
    13·1 answer
  • What do squares and rectangles have in common? How are they different?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!