All categories

3 years ago

HELP! PLEASE! I really need help with this question!

Mathematics

1 answer:

LekaFEV [45]3 years ago

6 0

Answer:

They are at the same height at 1.13 seconds.

Step-by-step explanation:

Remark

The rockets are at the same height when f(x) = g(x) [see below] are the same. So you can equate them.

Givens

f(x) = - 16x^2 + 74x + 9

g(x) = -16x^2 + 82x I have changed this so you don't have 2 f(x)s

Solution

f(x) = g(x)
-16x^2 + 74x + 9 = -16x^2 + 82x Add: 16x^2 to both sides
-16x^2+16x^2+74x + 9 = -16x^2+16x^2 + 82x Combine terms
74x + 9 = 82x Subtract 74x from both sides
74x - 74x + 9 = 82x - 74x Combine
9 = 8x Divide by 8
9/8 = 8x/8
x = 1 1/8 Convert to decimal
x = 1.125
x = 1.13 [rounded]

You might be interested in

A stack of 9 different cards are shuffled and spread out face down. If 4 cards are tired face up, how many different 4-card comb

Juliette [100K]

Answer:

126.

Step-by-step explanation:

This is the number of combinations of 4 cards from 9 cards:

= 9C4

= 9! / 4! 5!.

A quick way of calculating this is

9*8*7*6

----------- = 9*2*7 = 126 combinations.

4*3*2*1

7 0

2 years ago

What is the most common factor between 139 and 100

posledela

Answer:

Step-by-step explanation:

The common factors are:

The Greatest Common Factor:

GCF = 1

Solution

Teh factors of 100 are:

1, 2, 4, 5, 10, 20, 25, 50, 100

Teh factors of 139 are:

1, 139

The common factors are:

The Greatest Common Factor:

GCF = 1

3 0

3 years ago

Read 2 more answers

Mercury orbits the Sun in 87 24/25 earth days. Venus orbits the Sun in 224 7/10 earth days and Mars orbits the sun in 686 49/50

Rufina [12.5K]

87 24/25.......24/25 = 0.96......answer is 87.96

224 7/10....7/10 = 0.7....answer is 224.7

686 49/50...49/50 = 0.98...answer is 686.98

7 0

2 years ago

Select the best possible first step to solving the system by first eliminating the x variable. 3x − 9y = 6 2x − 11y = 6

Klio2033 [76]

The first step would be to add 3x and 2x i believe but I am not sure

5 0

3 years ago

Given the diagram below. If G is the circumcenter of ABC. DC = 16, GB = 21 and AZ = 19, find each measure.

Jlenok [28]

Answer:

Step-by-step explanation:

Properties of a circumcenter;

1). Circumcenter of a triangle is a point which is equidistant from all vertices.

2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.

From the picture attached,

9). AG = GB = GC = 21

10). BC = 2(DC)

= 2×16

= 32

11). By applying Pythagoras Theorem in ΔGFB,

GB² = GF² + FB²

(21)² = GF² + (19)²

441 = GF² + 361

GF² = 441 - 361

GF = $\sqrt{80}$

GF = 8.9

12). By applying Pythagoras theorem in ΔGDB,

GB² = DG² + BD²

(21)² = (DG)² + (16)² [BD = DC = 16]

DG² = 441 - 256

DG = √185

DG = 13.6

7 0

3 years ago