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
monitta
3 years ago
13

Please help me with this!

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

1.  The first equation is - 2x + 5y = 0

Second equation is y = \frac{2}{5} x

5y = 2x

- 2x + 5y = 0

Hence, the two equations are equivalent.

2.  a_{1} = 2, a_{2} = - 2

b_{1} = -1,  b_{2} = -1

\frac{a_{1} }{a_{2}} =\frac{2}{-2} = -1

\frac{b_{1} }{b_{2}} = \frac{-1}{-1}  = 1

\frac{a_{1} }{a_{2}} \neq \frac{b_{1} }{b_{2}}

Hence, the equations are consistent.

3.   a_{1} = 4, a_{2} = 6

b_{1} = -1, b_{2} = -1

\frac{a_{1} }{a_{2}} =\frac{4}{6} = \frac{2 }{3}

\frac{b_{1} }{b_{2}} = \frac{-1}{-1} = 1

\frac{a_{1} }{a_{2}} \neq \frac{b_{1} }{b_{2}}

Hence, the equations are consistent.

4.  Equations can be re-arranged as:

x + y - 4 = 0 and

x + y + 6 = 0

a_{1} = 1, a_{2} = 1

b_{1} = 1, b_{2} = 1

c_{1} = -4, c_{2} = 6

\frac{a_{1} }{a_{2}} =\frac{1}{1} = 1

\frac{b_{1} }{b_{2}} =\frac{1}{1} = 1

\frac{c_{1} }{c_{2}} =\frac{-4}{6} = \frac{-2}{3}

\frac{a_{1} }{a_{2}} = \frac{b_{1} }{b_{2}} \neq \frac{c_{1} }{c_{2}}

Hence, the equations are inconsistent.

5.  If we multiply the first equation by 4, we will get,

2y = -4x + 20 which is the second equation.

Hence, the equations are equivalent.

You might be interested in
YO please help actually been waiting for an hour and a half cuz so many trolls lol. <3 giivng brainliest, and ty in advance g
kati45 [8]

Hello!

For this problem we are given that quadrilateral ABCD is congruent to quadrilateral GJIH, meaning that all sides and angle measures will be equivalent to its corresponding side.

This means that to find x, we can look at quadrilateral GJIH's corresponding side to quadrilateral ABCD's side AD, which is side GH, which has a value of 9.

This means that 9 should also be the side length of side AD, which we're given a value of x/3.

x/3=9

Solve.

x=27

Hope this helps!

8 0
3 years ago
Read 2 more answers
Write an<br> explicit formula for An, the nth term of the sequence 7, -42, 252, ....
erik [133]

Answer:

A_n = 7(-6)^{n-1}

Step-by-step explanation:

<u>Key skills needed: Explicit formula, Geometric sequence</u>

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

a_n = a_1(r)^{n-1}

--> r means the constant (or common ratio) that is being multiplied.

--> a_1 means the first term

--> a_n means the "nth" numbered term (so a_3 is the 3rd term, a_{10} is the 10th term and so on).

--> n-1 is just the "n" in a_n minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> r = -6 (Since we got -6 as the constant/common ratio).

--> a_1  = 7 (Since 7 is the 1st term)

This means that our formula would be --> A_n = 7(-6)^{n-1}

<em>Hope you understood and have a nice day!! :D</em>

8 0
3 years ago
There are 4 people at a party. If each person must shake hands with every
ivolga24 [154]

Answer: 6

Step-by-step explanation: So there is 4 people and lets say I'm one of them, so I shake hands with 3 people, that's 3 handshakes, then one of those 3 people shake hands with the other 2, that's 5 handshakes, and then the last 2 shake hands with each other since they haven't, so that's 1 more which means 6 handshakes.

Sorry if this is wrong.

6 0
3 years ago
What is the value of n so that the expression x^2 + 11x + n is a perfect trinomial?
lora16 [44]
The answer is c) 30.25
6 0
3 years ago
Helppppp mee plz i neeed help
Butoxors [25]

Answer:

Basically the first image goes in the first box because opposites attract and the second image is what happens when you let the magnets go. The third image would go into the second chart because same-sides repel each other and the fourth picture shows what happens if you let the magnets that have the same sides facing each other go.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What is equivalent to 3(y+4)+4(y-2)
    7·1 answer
  • Find N' after N(2, 3) was reflected over the line y = x + 2.
    13·1 answer
  • The odometer of a new automobile functions improperly and registers only 2 miles for every 3 miles driven. If the odometer indic
    13·1 answer
  • How to find the slope
    6·1 answer
  • the restaurant is trying out a new menu.They asked 35 people if they liked the changes and 29 said they did.The restaurant had 2
    6·1 answer
  • FP!!!!!!!!!!!!! :)<br><br> (5 x 3) + 5 =
    14·2 answers
  • Convert the equation 2y^2- 5x+12y +23 = 0into standard form.
    5·2 answers
  • Determine the area of a circle
    10·1 answer
  • The table of values represents a polynomial function.
    11·1 answer
  • What is the equation
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!