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lapo4ka [179]
4 years ago
9

A model rocket was launched from the ground and shot 150 feet straight up.It then fell back down to the ground and landed in the

same place from which it was launched.Which expression shows how far the rocket traveled?
Mathematics
1 answer:
Elena L [17]4 years ago
8 0
The list of choices you included doesn't have any correct expressions on it.

-- If the rocket went straight up, and then dropped back at the same place
it was launched from, then it must have dropped straight down.

-- The route it followed on the way down was exactly the same as the
route it followed on the way up.

-- Since it reached a maximum height of 150-ft from the ground
and the route was straight, the length of the route was 150-ft.

-- (150-ft going up) plus (150-ft coming down)  =  300-ft traveled all together.
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3 years ago
Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S
Harman [31]
ANSWER

y =  \frac{3}{2} x + 8



EXPLANATION

The line given to us has equation,

2x + 3y = 9

We need to write this equation in the slope intercept form to obtain,


3y =  - 2x + 9



\Rightarrow \: y =  -  \frac{2}{3}x + 3


The slope of this line is

m_1 =  -  \frac{2}{3}
Let the slope of the perpendicular line be

m_2

Then
m_1 \times m_2 =  - 1


-  \frac{2}{3} m_2=  - 1

This implies that,

m_2 =  - 1 \times  -  \frac{3}{2}


m_2 =  \frac{3}{2}



Let the equation of the perpendicular line be,

y = mx + b

We substitute the slope to get,


y =  \frac{3}{2} x + b

Since this line passes through
(-2,5)
it must satisfy its equation.


This means that,

5=  \frac{3}{2} ( - 2)+ b


5 =  - 3 + b



5 + 3 = b


b = 8

Wherefore the slope-intercept form is

y =  \frac{3}{2} x + 8
6 0
4 years ago
Which of the following will result in a rational number? Select all that apply.
romanna [79]

An expression is defined as a set of numbers, variables, and mathematical operations

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be simplified as,

A.) 7 3/4 - (√11)/5 = (155-4√11)/20

B.) 7 3/4 ÷ (√11)/5 = 155/(4√11)

C) 7 3/4 + (√16)/5 = 166/20

D.) 7 3/4 + (√16)/5 = 31/5

The option that will result in a rational number is C and D.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

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