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Step2247 [10]
2 years ago
13

6y+12=-2x x+3y=-6 In y form

Mathematics
1 answer:
Vlada [557]2 years ago
4 0

Answer:

  both equations reduce to y = -1/3x -2

Step-by-step explanation:

In each case, subtract the term not containing y and divide by the coefficient of y.

1.  6y = -2x -12 . . . . 12 was subtracted from both sides

  y = -1/3x -2 . . . . . . the equation was divided by 6

__

2. 3y = -x -6 . . . . . . x was subtracted from both sides

  y = -1/3x -2 . . . . . the equation was divided by 3

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andreyandreev [35.5K]
Its 78/10 = 39/5
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3 years ago
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(60 points)
natka813 [3]

Answer:

<h2>2. D. 64</h2><h2>5. B. 1, -3/2</h2><h2>6. C. 0, 2</h2>

Step-by-step explanation:

2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56

5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}

6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}

8 0
3 years ago
(39 points PLZ HELP)Find the sum of a finite geometric series. A ball is dropped from a height of 10 meters. Each time it bounce
erastovalidia [21]

So we need to find the sum of the first 5 terms.

You have told me that the first term is 10 meters, and that r = 0.5 per term.

With this knowledge, we can use the formula s_n=a₁((1-r^n)/(1-r)).

Plugging in the terms that we know...

s₅=10((1-0.5⁵)/(1-0.5))

s₅=10(0.96875/0.5)

s₅=10(1.9375)

s₅=19.375

With s₅, we can determine that the ball has traveled a total of 19.375 meters after 5 bounces.

3 0
2 years ago
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What is the 13 term of the geometric sequence whit this explicit formula an=3•(-2)(n-1)
Orlov [11]

Answer:

12,288

Step-by-step explanation:

aₙ = 3 (-2)ⁿ⁻¹

a₁₃ = 3 (-2)¹³⁻¹

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3 0
2 years ago
Solve for x: 3(x-5)+4x-2=4​
zysi [14]

Answer:

x = 3

Step-by-step explanation:

3(x−5)+4x−2=4

Step 1: Simplify both sides of the equation.

3(x−5)+4x−2=4

(3)(x)+(3)(−5)+4x+−2=4(Distribute)

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Step 2: Add 17 to both sides.

7x−17+17=4+17

7x=21

Step 3: Divide both sides by 7.

7x

7

=

21

7

x=3

3 0
2 years ago
Read 2 more answers
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