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
miskamm [114]
2 years ago
11

Fill in the missing reasons (one for each step). Given: 3x – 6y = 27; x = 5 Prove: -2 = y

Mathematics
1 answer:
JulsSmile [24]2 years ago
5 0

Answer:

a. Given,

b. Substitution

c. Subtraction of equality

d. Division of equality

e. Symmetric property of equality

Step-by-step explanation:

Given expression,

3x - 6y = 27; x = 5

By substituting x = 5,

3(5) - 6y = 27

15 - 6y = 27

By subtraction property of equality,

-6y = 12

Division property of equality,

y = -2

By symmetric property of equality,

-2 = y

You might be interested in
Is sin theta=5/6, what are the values of cos theta and tan theta?
mina [271]

let's bear in mind that sin(θ) in this case is positive, that happens only in the I and II Quadrants, where the cosine/adjacent are positive and negative respectively.

\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{6}}\qquad \impliedby \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{6^2-5^2}=a\implies \pm\sqrt{36-25}\implies \pm \sqrt{11}=a \\\\[-0.35em] ~\dotfill

\bf cos(\theta )=\cfrac{\stackrel{adjacent}{\pm\sqrt{11}}}{\stackrel{hypotenuse}{6}} \\\\\\ tan(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{adjacent}{\pm\sqrt{11}}}\implies \stackrel{\textit{and rationalizing the denominator}~\hfill }{tan(\theta )=\pm\cfrac{5}{\sqrt{11}}\cdot \cfrac{\sqrt{11}}{\sqrt{11}}\implies tan(\theta )=\pm\cfrac{5\sqrt{11}}{11}}

5 0
3 years ago
1) Given h(x)=x-5 <br> a) Determine h^2<br> b)determine h^3
ElenaW [278]

Answer:

A) x^2-10x+25 B)X^3-15x^2+75x-125

Step-by-step explanation:

H^2=(x-5)(x-5)=x^2-10x+25

H^3=(x-5)(x-5)(x-5)=X^3-15x^2+75x-125

6 0
3 years ago
A bag contains 3 red marbles and 4 blue marbles. Two marbles are drawn at random without replacement. what is the probability th
Yuliya22 [10]
Probability (first marble red and second marble blue) = (3/7) × (4/6) = 2/7
7 0
3 years ago
Which of the following always passes through a vertex of a triangle . choose all that apply.
Helga [31]

Just finished the test and the write answers are :

1) A,D,E

2)A,B

3)B,E

4) D

5) A

6) C

7) A

8) B

9) part A is C

Part B is A

Score 100%

7 0
3 years ago
Unit price $5 for 60lb bag
lana [24]

Answer:

12 per one bag

Step-by-step explanation:

60lb bag divided by the amount it costs which is $5.

Which equals $12.

5 0
2 years ago
Read 2 more answers
Other questions:
  • Help me!!!!!!!!!!!!!
    7·2 answers
  • The frequency of A4 is 440.00 Hz.<br> what is the frequency of A6, which is two octaves above A4?
    5·2 answers
  • The diameter of a circle is 4 feet what is the area?
    5·1 answer
  • Joe drove 315 miles on 15 gallons of gas. What is his mileage in miles/gallon?<br> miles/gallon
    8·2 answers
  • Angle abf is 77 , help please
    5·1 answer
  • Troy signed up for a new cell phone plan which charges him a fee of $40 per month, plus $0.05 for each text message ( t) that he
    15·1 answer
  • Which are solutions of the equation x2 - 16 = 0? Check all that apply.
    15·1 answer
  • After how many years, to the nearest whole year, will an investment of $100,000 compounded quarterly at 4% be worth
    7·1 answer
  • Choose the best description
    14·1 answer
  • Which of the following determines the type of tree species found in a temperate broadleaf forest? (Select all that apply.)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!