All categories

2 years ago

Two ants, red ant and black ant, creeping along lines in 3-space. At time t, red ant is at point on the line

1 answer:

4 0

A. The distance between the red ant and the black ant is five units.

To represent the red ant,
xr = 3 - t
yr = 2 + 2 t
zr = 6 + 2 t

To represent the black ant,
xb = t/2
yb = 2 + 3 t
zb = 2 + t

To calculate,
at t = 0
xb - xr = -3
yb - yr - 2-2 = 0
zb - zr = 2-6 = -4
Therefore,
d = √(9+16) = √(25) = 5

b. There will be no collision between the two ants.

To calculate,
3 - t = t/2
6 - 2t = t
6 = 3t
t = 2

If t = 2,
2 + 2*2 = 2 + 3*2

You might be interested in

you are making a picture frame in your shop class. two peices of wood are cut to form complementary angles so they fit fit toget

Andrews [41]

Two angles are complementary when their sum is equal to 90°.

So, ( 2x + 39 ) + ( 7x - 21 ) = 90°

9x + 18° = 90°

x = 8°

Putting value of x in the angles given :

( 2x + 39 )° = 2(8°) + 39° = 55°.

( 7x - 21 )° = 7(8°) - 21° = 35°.

Therefore, the angles are 55° and 35°.

Hence, this is the required solution.

5 0

2 years ago

What is the solution to -4(8 - 3x)2 6x - 8?

Fudgin [204]

Answer:

1) -32+12x 2) 2(3x-4)

Step-by-step explanation:

I hope this is right!

7 0

2 years ago

The graph shows the increase of the temperature over time in an oven what is the change in the y value and x value on the graph

Hatshy [7]

Let

x-------> the time in minutes

y-------> the temperature in Fahrenheit degrees

$A(2,150)\\B(3,190)$

we know that

the change in the y-values between two points is equal to

$(y2-y1)$

Substitute the y-values of the point A and B in the formula

$y2=190\\y1=150$

$(190-150)=40$

the change in the x-values between two points is equal to

$(x2-x1)$

Substitute the x-values of the point A and B in the formula

$x2=3\\x1=2$

$(3-2)=1$

therefore

the answer is

The change in the y-value is $40$ and the change in the x-value is $1$

6 0

2 years ago

Read 2 more answers

Help pleaseeeee!!!!! i stg if no one answers correctly im gonna have another mental breakdown

Afina-wow [57]

Answer:

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

Step-by-step explanation:

To write an equation in standard form, you want to arrange the terms from increasing to decreasing powers/exponents.

given: 4x² - 6x⁶ + 2x³ + 12 - 5x³+ 4x⁴

First, lets arrange like terms together. Put the terms with the same exponent together.

2x³ - 5x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now combine the terms with the same exponent by subtracting 5x³ from 2x³.

-3x³ + 4x² - 6x⁶ + 12 + 4x⁴

Now let's arrange the terms from increasing to decreasing powers/exponents.

-6x⁶ + 4x⁴ - 3x³ + 4x² + 12

This is your equation in standard form.

Hope this helps!

3 0

2 years ago

The least common denominator of two fractions is 20. If you subtract the two denominations, you get 1. What are the denominators

LekaFEV [45]

Steps
find the Least Common Multiple of the denominators (which is called the Least Common Denominator).

Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator.

Then add (or subtract) the fractions, as we wish!
your denominators stay the same so its 20

6 0

2 years ago