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ss7ja [257]
4 years ago
8

Solve this equation by completing the square. 3x2 - 4x = -2

Mathematics
1 answer:
lidiya [134]4 years ago
6 0
<span>Solve this equation by completing the square. 3x^2 - 4x = -2
</span>Step 1:
Divide by the leading coefficient (coef. of x^2), and transpose.
(3x^2 - 4x)/3 = -2/3
x^2-2(2/3)x = -2/3
Complete the square, 
(x-2/3)^2 - 4/9 = -2/3
Solve for (x-2/3)
(x-2/3)^2= -2/3 + 4/9 = -2/9
x-2/3 = ± (√2)i/3
Solve for x
x=2/3± (√2)i/3
or
x=(2±(√2)i)/3

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Sketch the curve given by the set of parametric equations. x=t^2+4 y=t/5 +8
dangina [55]

Answer:  see attached graph

<u>Step-by-step explanation:</u>

Choose values for t and plug them into the x equation and y equation to find the x,y coordinates.

Usually there is an interval provided.  Since you did not specify an interval, I chose to use [-2, 2].

\begin{array}{c||c|c||c}t&x&y&(x,y)\\-2&8&\frac{38}{5}=7.6&(8,7.6)\\\\-1&5&\frac{39}{5}=7.8&(5,7.8)\\\\0&4&\frac{40}{5}=8.0&(4,8.0)\\\\1&5&\frac{41}{5}=8.2&(5,8.2)\\\\2&8&\frac{42}{5}=8.4&(8,8.4)\end{array}

7 0
3 years ago
2. Lynn filled up her gas tank on the way home from work. She uses about 1.6
Gelneren [198K]

The amount of gas in her tank after 8 days given the linear equation g = 213 - 1.6d is 200.2 gallons of gas

<h3>Linear equation</h3><h3 />
  • Gallons of gas used per day = 1.6 gallons
  • Number of days = d
  • Quantity of gas = g

The equation

g = 213 - 1.6d

Gas remaining after 8 days

g = 213 - 1.6(8)

= 213 - 12.8

g = 200.2 gallons of gas

Learn more about equation:

brainly.com/question/1884491

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5 0
2 years ago
Find the 66th term of the arithmetic sequence -28,-45, -62,-
Alexeev081 [22]

Answer:

<u>-1133</u>

Step-by-step explanation:

<u>Formula for nth term</u>

  • aₙ = a + (n - 1)d

<u>Finding d</u>

  • d = -45 - (-28)
  • d = -45 + 28
  • d = -17

<u>Solving for a₆₆</u>

  • a₆₆ = -28 + 65(-17)
  • a₆₆ = -28 - 1105
  • a₆₆ = <u>-1133</u>
6 0
2 years ago
Read 2 more answers
Janani ran for 60 minutes and traveled 5 miles. What is her rate per mile?
Diano4ka-milaya [45]

Answer:

6.67 miles per hour

Step-by-step explanation: Im 97.99% sure this is right!! :)

6 0
2 years ago
Help meeeee;)........​
mylen [45]

Step-by-step explanation:

ABC be the given isosceles right triangle such that <B = 90° , side AC is the hypotenuse; and, AB= BC

Then, (AB)^2 + (BC)^2 = (AC)^2…. Pythagoras theorem.

(AC)^2 = 98 sq. cm. ( given)

So, (AB)^2 + ((BC)^2 = 98

But, AB = BC = a ( say) …. ( given)

Therefore, a^2 + a^2 = 98

Or, 2a^2 = 98.

So, a^2 = 98 / 2 = 49

Hence, a = AB = BC = √49 = 7 cm.

The side AC ( the hypotenuse) = √98 = √(7 *7*2)

= 7 *√2 = 7* 1.414 = 9..898cm., say, 9.9 cm.

Hence, the three sides of the right isosceles triangle are 7 cm, 7cm and ~ 9.9 cm. Answer

<h2>please mark me as brainlist please </h2>

7 0
2 years ago
Read 2 more answers
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