What is the result of isolating x^2 in the equation below?10x^2-36y^2=100

A. x^2=100+36/10 y^2
B. x^2=10+36/10 y^2
C. x^2=100+36 y^2
D. x^2=10+6/10 y^2

Answers

Answer 1

Answer:

The result of isolating x² in the quadratic equation 10x² - 36y² = 100 will be x² = 10 + (36 / 10)y²

What is a quadratic equation?

A quadratic equation is an equation that has one or multiple variables with the highest power of the variable is 2.

The given quadratic equation is:

10x² - 36y² = 100

⇒ 10x² = 100 + 36y²

⇒ x² = (100 + 36y²) / 10

⇒ x² = 10 + (36 / 10)y²

Learn more about a quadratic equation here: brainly.com/question/2506855

SPJ2

Answer 2

Answer: B. you add 36y^2 to either side, giving you 10x^2=100+36y^2, and then divide the entire equation by 10, leaving you with x^2=10+36/10 y^2

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George jogged a total distance of 9 and 1 over 2 miles during the months of October and November. If George only jogged 1 over 4 mile every day, which expression shows the number of days he went jogging?9 and 1 over 2 multiplied by 1 over 4
9 and 1 over 2 plus 1 over 4
9 and 1 over 2 minus 1 over 4
9 and 1 over 2 divided by 1 over 4

Answers

1/4x = 9 1/2
x = (9 1/2) / (1/4)......9 and 1/2 divided by 1 over 4 <===
x = (19/2) / (1/4)
x = 19/2 * 4
x = 76/2 = 38 days is how long he went jogging

Answer:

Question:

We know:

He jogged 9 1/2 miles during October and November

1/4 mile every day

Answer:

9 and 1 over 2 divided by 1 over 4

Which function represents the number of seconds, s, in d days? (Hint: The number seconds in a day is 24 × 60 × 60 = 86,400.). The function that represents the number of seconds, s, in d days is f(d) =

Answers

You simply multiply the days with the number of seconds in a day.
f(d) = 86400d.
I hope that this is the answer that you were looking for and it has helped you.

Answer: f(d) = 86,400d

Fill in all the missing measures. Show your work.

Answers

Answer:

B= 180-63

= 117°

E= 117°

Alternating angles are equal

Factor the expression: 2n³ + 22n² + 60n

Answers

Answer:

2n(n + 5)(n + 6)

Step-by-step explanation:

given the expression

2n³ + 22n² + 60n ← factor out the common factor of 2n from each term

= 2n(n² + 11n + 30) ← factorise the quadratic

consider the factors of the constant term (+ 30) which sum to give the coefficient of the n- term (+ 11)

the factors are + 5 and + 6 , since

+ 5 × + 6 = + 30 and 5 + 6 = + 11

use these factors to split the n- term

n² + 5n + 6n + 30 ( factor the first/second and third/fourth terms )

= n(n + 5) + 6(n + 5) ← factor out (n + 5) from each term

= (n + 5)(n + 6)

Then

2n³ + 22n² + 60n

= 2n(n + 5)(n + 6) ← in factored form

There are 6 girls and 7 boys in a class. A team of 10 players is to be selected from the class. What is the probability that a randomly chosen team includes 4 or 6 boys?

Answers

The total number of girls = 6
Number has to be selected = 5
Therefore the probability = 5/6

The total number of boys = 7
Number has to be selected = 5
Therefore the probability = 5/7

Two standard number cubes are rolled Find each probability.12. P(a sum equal to 12)

13. P(sum not equal to 2 )

14. P(a product equal to 15)

15. P( a product not equal to 15)