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lesya [120]
3 years ago
7

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = -0.06x^2 +

10.1x + 5 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. model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = -0.06x^2 + 10.1x + 5 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.168.83m
B.5.00m
C.84.17m
D.430.04m
Mathematics
1 answer:
bixtya [17]3 years ago
6 0
It's asking how far horizontally from the starting point which means that y, the height in meters is 0.
set 0 = -0.06x^2 + 10.1x + 5 and solve for x using the quadratic formula

-b +- \sqrt{b^{2} -4ac} / 2a
-10.1 +- \sqrt{10.1^2 - 4(-0.06)(5) / 2(-0.06)
you get that x = 168.83 m and -0.49 meters. Since the horizontal distance cant be negative, 168.83m is your answer
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4x+11y=7<br><br>4x+3y=-1<br>what are the steps
andreev551 [17]

Answer:

x = -1, y = 1

Step-by-step explanation:

Given that:

\begin{bmatrix}4x+11y=7\\ 4x+3y=-1\end{bmatrix}

Isolate x for 4x + 11y = 7 which ⇒ x=\frac{7-11y}{4}

Substitute x=\frac{7-11y}{4} into the equation: which is:

\begin{bmatrix}4\cdot \frac{7-11y}{4}+3y=-1\end{bmatrix}

Drop Down to:

\begin{bmatrix}7-8y=-1\end{bmatrix}

Isolate y for 7-8y = -1: y = 1

Thus, x=\frac{7-11y}{4}

Substitute y = 1

Hence,

x=\frac{7-11\cdot \:1}{4}=-1

Solution ⇒ x = -1 and y = 1

<u><em>~learn with lenvy~</em></u>

6 0
2 years ago
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A square has an area of 100 square meters.<br> What is the perimeter of the square?
LiRa [457]

Answer:

40 square meters

Step-by-step explanation:

Perimeter means to add up all sides.

area means one side times one side

10 times 10 makes 100 so i am guessing each side is 10

10 + 10 + 10 + 10 = 40

5 0
3 years ago
Evaluate the expression when X= -2 x^2 + 9x + 3
TiliK225 [7]

Answer:

-11

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

x² + 9x + 3

x = -2

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                                                                                                  (-2)² + 9(-2) + 3
  2. Exponents:                                                                                                        4 + 9(-2) + 3
  3. Multiply:                                                                                                             4 - 18 + 3
  4. Subtract:                                                                                                            -14 + 3
  5. Add:                                                                                                                   -11
3 0
3 years ago
What is the area of the figure shown below?
german
Área of rectangle= 18 x 14 = 252

Area or triangle=
30-18= 12
12 is the base of the triangle
14 is the height of the triangle
Area of a Triangle= 1/2bh
1/2(12)(14)=84
Área of Triangle= 84

252+84= 336

Answer= 336
4 0
2 years ago
What does rigid mean? (geometry wise)
Ivan

Answer:

A shape that can be pushed to make a different shape

Step-by-step explanation:

4 0
3 years ago
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