Perpendicular is the answer because for it to be perpendicular it has to be the opposite 3/4’s opposite is -4/3 which is why the answer is perpendicular

6 0

3 years ago

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millil

alekssr [168]

Answer: The actual height of train = 4.896 meters.

Step-by-step explanation:

Since we have given that

Lina has a scale model of a modern train

Model is created at a scale is given by

1:48

Height of the model train = 102 millimeters

We need to find the actual height of the train.

Since there is direct variation between model and actual height of the train.

According to question,

$\frac{1}{48}=\frac{102}{x}\\\\x=102\times 48\\\\x=4896\ millimeters\\\\x=4.896\ m$

Hence, the actual height of train = 4.896 meters.

6 0

2 years ago

What are the real and complex solutions of the polynomial equation X^3-216=0

vazorg [7]

Answer:

$6,\ -3+3\sqrt{3}i,\ -3-3\sqrt{3}i$

Step-by-step explanation:

Factor the equation $x^3-216=0$ using formula for difference of the cubes:

$x^3-216=(x-6)(x^2+6x+36),$

then

$x-6=0\ or\ x^2+6x+36=0.$

1. The equation $x-6=0$ has real solution $x=6.$

2. The equation $x^2+6x+36=0$ has negative discriminant $D=6^2-4\cdot 36=36-144=-108,$ then it has two complex solutions

$x_{1,2}=\dfrac{-6\pm 6\sqrt{3}i}{2}=-3\pm3\sqrt{3}i.$

3 0

3 years ago

Describe the type of motion the object is experiencing.

DaniilM [7]

Upward motion
Hope that helps

6 0

2 years ago