A projectile’s height is given by the equation ℎ=−16^2+280+130, where h represents the height, in feet, t seconds after it was launched. Part A. How high was the projectile when it was launched?

Part B. How do you know?

Part C. Determine algebraically the maximum height of the projectile.

Part D. The point (13.6, 0) represents a key feature for this projectile. What is its significance in the context of this problem?

Equation; h = -16x² + 280x + 130

Part A.) It was 130 ft high

Part B.) Substitute 0 in for each x given in the equation, then height, (h) would equal to 130.

Part C) Maximum = (8.75, 1355): it could be found using the formula of -b/2a, to find the x-value of the maximum, and then substituting the x-value in the equation in place of x, to find the y-value

Part D) I tried graphing the point (13.6, 0) in the graph and it doesn't show me anything significant, maybe u can ask this one to from teacher? (sorry bout that)

Hope this helps!

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.