The equation y²/8² - x²/b² represents a hyperbola centered at the origin with a focus of (0, -10).

what is the value of b?

4
6
10
12

b = 6

Step-by-step explanation:

You probably already know the general equation from the my last couple of answer.

In this question, we have:

a=8

b= ?

c= -10   ,   c is the value of the foci

surprisingly, you can solve the value for a, b, and c using the same equation as the Pythagorean theorem.

c² = a² + b²

we need to solve for b so lets rearrange the equation.

b² = c² - a²

b = ±√(c² - a²)

b = ±√((-10)² - (8)²)

b = ±√((-10)² - (8)²)

b = ±√(100 - 64)

b = ±√(36)

b = ±6

b = 6

im pretty sure it would be 5 am, hope that , and give brainliest and guys if this is right then press the button and give 5 stars

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.