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
nikklg [1K]
3 years ago
15

Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2

=8 B (x+3)^2=17 C (x+3)^2=1 D x^2+6x+6=14
Mathematics
1 answer:
valentina_108 [34]3 years ago
7 0

Answer:

Solving the equation x^2+6x-8=0 by completing the square method we get \mathbf{(x+3)^2=17}

Option B is correct option.

Step-by-step explanation:

We need to solve the equation x^2+6x-8=0 by completing the square method.

For completing the square method: we need to follow: a^2+2ab+b^2=(a+b)^2

We are given:

x^2+6x-8=0

Solving by completing the square

x^2+2(x)(?)+(?)^2-8=0

We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.

So, adding and subtracting (3)^2

x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17

So, solving the equation x^2+6x-8=0 by completing the square method we get \mathbf{(x+3)^2=17}

Option B is correct option.

You might be interested in
What is a linear equation of a line with slope -4 and y-intercept 7
ololo11 [35]

The equation would look like

Y=-4x+7

Y=mx+b

5 0
3 years ago
Sk
jenyasd209 [6]
About 39 cats are in the shelter
7 0
3 years ago
One fourth of y is less than or equal to -12 as an inequality
taurus [48]

Answer:

1/4Y \leq -12

Step-by-step explanation:

6 0
3 years ago
The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
mestny [16]

30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

  • 28.8+14.4=43.2 ounces of water
  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

4 0
3 years ago
Solve the inequality 6t>t+6. Enter your answer as an inequality with just t on the left side. For example, if the inequality
ahrayia [7]

Answer:  t > 6/5

In decimal form, this would be t > 1.2

==============================================

Work Shown:

6t > t+6

6t-t > t+6-t ...... subtracting t from both sides

5t > 6

5t/5 > 6/5 .... dividing both sides by 5

t > 6/5

t > 1.2

3 0
3 years ago
Other questions:
  • Three litres of milk cost r29,95 at shop a and two liters of milk cost r15,95 at shop
    6·1 answer
  • Melanie invest 13,000 dollars into an account at an annual rate of 0.4 simple interest for 36 months. What is the principal of t
    11·1 answer
  • A^-4 is the question and it wants me to write in exponential notation with positive exponents
    11·1 answer
  • Find F(-3) F(X)=2x^2-5x-8
    5·1 answer
  • A recipe requires 5 cups of corn starch. You can only measure using 2/5 cups. How many 2/5 cups are needed for this recipe? Leav
    11·1 answer
  • The table of values below represents a linear function and shows the weight of a kitten as it has grown. What is the output for
    14·1 answer
  • My ones digit is twice the hundreds digit
    10·1 answer
  • GUYS HELPP ME!! Sketch a graph showing her distance from home. Also help me answer the questions below!
    8·1 answer
  • Christina​'s time for a race was 26.3 seconds. Another​ runner's time was 8.44 seconds faster. Write and evaluate an equation wi
    5·1 answer
  • Is –2 − 92 positive or negative?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!