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Arlecino [84]
3 years ago
14

ILL GIVE BRAINLIEST A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equa

tion y = –0.02x2 + 2.3x + 6, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. How far horizontally from its starting point will the rocket land?
A. 57.50 m
B. 115.00 m
C. 117.55 m
D. 235.10 m
Mathematics
2 answers:
IceJOKER [234]3 years ago
7 0
The answer is C
hope this helps :)
Monica [59]3 years ago
4 0

Answer:

c)

Step-by-step explanation:

Simplifying

y = -0.02x2 + x + 2


Reorder the terms:

y = 2 + x + -0.02x2


Solving

y = 2 + x + -0.02x2


Solving for variable 'y'.


Move all terms containing y to the left, all other terms to the right.


Simplifying

y = 2 + x + -0.02x2

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If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third sid
slamgirl [31]

There are two answers:

B) 5

C) 8

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

Explanation:

If we had a triangle with sides a, b and c, then we can say

b-a < c < b+a

where b is larger than 'a'. This is the triangle inequality theorem

In this case, a = 5 and b = 9 so,

b-a < c < b+a

9-5 < c < 9+5

4 < c < 14

Telling us that c is some number between 4 and 14, not including either endpoint. If c is a whole number, then c could be any value from this set: {5,6,7,8,9,10,11,12,13}

We see that the numbers 5 and 8 are in this set. The values 3 and 15 are not in the set.

3 0
3 years ago
Two trains 500 miles apart accidentally are on the same track heading toward each other. The passenger train is traveling 80 mph
Natalka [10]

Answer:

2 miles

Step-by-step explanation:

Their combined speed (speed of closure) is 80 mph + 40 mph = 120 mph.

120 mi/h = 120 mi/(60 min) = 2 mi/min

The distance between the trains at the 1-minute mark is ...

(1 min) · (2 mi/min) = 2 mi

They were warned when two miles apart.

3 0
3 years ago
What is the solution set of 7x 2 + 3x = 0?<br><br> {0, 3/7}<br> {0, -3/7}<br> {0, -4/7}
Burka [1]

Answer:

the answer is b when we have two positives it makes a negitive therefore its b

Step-by-step explanation:

4 0
3 years ago
(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw
slavikrds [6]

Answer:

a. \frac{dT}{dt}=k(T-Tm); T(0)=190

b. C_{0}=122

c. k=-0.00259

d. t=153.39838\\ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

Tm=68

\frac{dT}{dt}=k(T-Tm); T(0)=190

b. The differential equation obtained is a differential equation of separable variables:

\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122

c. After 33 minutes of serving the coffee has cooled to 180°:

T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259

d.

150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\

8 0
3 years ago
What is the reason for each strip on the solution of the equation?
Pani-rosa [81]

Step 1: Given

Step 2:  Distributive Property

Step 3: Addition Property of  Equality

Step 4: Division Property of  Equality

Step-by-step explanation:

We need to match the reason with the correct step in the equation.

Equation:

Given:

2x = -4(x-3)

Applying Distributive property a(b+c)=ab+ac

2x=-4x+12

Now, Applying addition property of equality:

Adding +4x on both sides

2x+4x=-4x+12+4x\\6x=12

Now, Applying Division property of Equality:

Divide both sides by 6:

\frac{6x}{6}=\frac{12}{6}\\x=2

So, Answer will be:

Step 1: Given

Step 2:  Distributive Property

Step 3: Addition Property of  Equality

Step 4: Division Property of  Equality

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

7 0
3 years ago
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