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
KatRina [158]
4 years ago
8

Which choice BEST describes the solution(s) for this system? −3x + 5y = −6 6x − 10y = 12 A) infinitely many solutions B) only on

e solution C) no solution D) the origin
Mathematics
2 answers:
andrezito [222]4 years ago
8 0

Answer:

A) infinitely many solutions

Step-by-step explanation:

I'm sorry i don't know how to break down the explanation but i know its right because I got it right on the test. :)

Citrus2011 [14]4 years ago
6 0

Answer:

The Equation of line have NO SOLUTION

Step-by-step explanation:

The Given equation of system as,

<u>First line equation :</u>

-3 x + 5 y = -6

Or, 5 y = 3 x - 6

Or,    y = \frac{3}{5} x  - \frac{6}{4}

So , Slop of this line = m1 = \frac{3}{5}

<u>Again ,second line equation :</u>

6 x - 10 y = 12

Or, 10 y = 6 x - 12

Or,   5 y = 3 x - 6

Or ,      y =  \frac{3}{5} x - \frac{6}{5}

So , Slop of this line = m2 = \frac{3}{5}

∴      Slop of both the lines are equal , i.e m1 = m2 = \frac{3}{5}

I.e both the lines do not intersect,and they are parallel to each other.

Hence, The Equation of line have NO SOLUTION

You might be interested in
Express z = square root (4 + 3i) in the form p + qi , where p and q and are rational numbers.​
Gwar [14]

Answer:

z = (3/√2) + (1/√2)î = (1/√2) [3 + i] = (2.1213 + 0.7071i)

OR

z = -(3/√2) + i(1/√2) = (1/√2) [-3 + i] = (-2.1213 + 0.7071i)

p = (3/√2) = 2.1213

q = (1/√2) = 0.7071

OR

p = (-3/√2) = -2.1213

q = (1/√2) = 0.7071

Step-by-step explanation:

z = √(4 + 3i)

Let the complex number z be equal to

z = p + qi

So, we can write

z = p + qi = √(4 + 3i)

p + qi = √(4 + 3i)

Square both sides

(p + qi)² = [√(4 + 3i)]²

p² + pqi + pqi + (qi)² = (4 + 3i)

p² + 2pqi + q²i² = 4 + 3i

note that i² = -1

p² + 2pqi - q² = 4 + 3i

(p² - q²) + 2pqi = 4 + 3i

Comparing both sides, and them equating the real parts on both sides to each other and the complex parts to each other

(p² - q²) = 4 (eqn 1)

2pq = 3 (eqn 2)

From eqn 2

p = (3/2q)

p² = (9/4q²)

Substituting this into eqn 1

(9/4q²) - q² = 4

multiplying through by 4q²

9 - 4q⁴ = 16q²

4q⁴ + 16q² - 9 = 0

let q² = x, q⁴ = x²

4x² + 16x - 9 = 0

Solving the quadratic equation

x = 0.5 or -4.5

q² = 4

q² = 0.5 or q² = -4.5

q = √0.5 or √-4.5

q = (1/√2) = (√2)/2 = 0.7071

Or q = i(3/√2) = i(3√2)/2 = 2.1213I

p = (3/2q)

If q = (1/√2) = (√2)/2 = 0.7071

p = (3/√2) = (3√2)/2 = 2.1213

if q = i(3/√2) = i(3√2)/2 = 2.1213I

p = i(1/√2) = i(√2)/2 = 0.7071i

z = p + qi

If q = (1/√2) = (√2)/2 = 0.7071

p = (3/√2) = (3√2)/2 = 2.1213

z = (3/√2) + (1/√2)î = (1/√2) [3 + i]

= 2.1213 + 0.7071i

if q = i(3/√2) = i(3√2)/2 = 2.1213I

p = i(1/√2) = i(√2)/2 = 0.7071i

z = i(1/√2) + [i(3/√2) × i]

z = i(1/√2) - (3/√2)

z = -(3/√2) + i(1/√2)

z = (1/√2) [-3 + i]

z = -2.1213 + 0.7071i

Hope this Helps!!!

8 0
4 years ago
A flagpole sits on top of a 25 foot tall building. The building is exactly 3 times the height of the flagpole, h, minus 5 feet.
Aleonysh [2.5K]
I got 6.66666 infinite, so 6.7
3 0
3 years ago
Read 2 more answers
Which system is equivalent to
levacccp [35]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
the function below represents the number of zombies, N, where t is the number of years since the zombies gained control of earth
raketka [301]
There is missing information about this question that I found online.
Given function is:
N(t) = 300\cdot 2^{-\frac{t}{8}}
The question is:
<span>Is this exponential growth or decay? Explain using your understanding of the properties of exponents.
</span>This is an exponential decay. 
In general, we can write down exponential functions like this:
f(x)=b^{ax}
Parameter a is the key parameter that will tell how exponential function behaves. If it is positive we have an exponential growth. If it is negative we can rewrite function like this:
f(x)=b^{-ax}=\frac{1}{b^{ax}}
We can notice that in this case, the denominator will exhibit exponential growth, in other words, the functions rapidly declines. This is an exponential decay.
5 0
4 years ago
Read 2 more answers
Factor out the GCF: 12+24x
ivolga24 [154]

Step-by-step explanation:

  • I hope this is the right answer

5 0
3 years ago
Read 2 more answers
Other questions:
  • The data in the table represents the value of a savings
    8·2 answers
  • Which statement best describes the graph of 2c - 5y=-25 and the graph of y= +5?​
    9·1 answer
  • Number 1 Only. Please help! I don’t play cards so this is hard for me
    9·2 answers
  • What’s the product of 8 times 6?
    5·2 answers
  • For the function above is the discriminate, positive, negative, or zero?
    13·1 answer
  • I eat 1/5 of my brownie everyday Monday-Friday. Monday I ate 1/3 of my brownie by what percent did you’re Monday consumption exc
    10·2 answers
  • The greatest common factor of 14 and 38
    13·2 answers
  • √x +√4-x +2√4x-x^2 &gt;=2
    12·1 answer
  • Graph the two linear equations shown below on a coordinate plane. At which coordinate point do they intersect?
    6·1 answer
  • 11/12 + 4/9 simplified
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!