What is the value of tangent B 8/10 6/10 8/6 6/8

(a) The parametric equations x = f(t) and y = g(t) give the coordinates of a point (x, y) = (f(t), g(t)) for appropriate values

Gnesinka [82]

Answer:

Step-by-step explanation:

a). Given a parametric equation, we are describing a set of coordinates based on the value of t. The variable t is called the parameter.

b) we have the following equations. x=t y=t^2, so in order for us to know where the object is at t=t' we must replace t with the specific value t'. Hence, when t=0 the object is at (0,0^2) = (0,0) (the origin). When t=6, the object is at (6,6^2) = (6,36).

c). To eliminate the parameter, we replace the parameter in one equation by using the second equation. Recall that we have that x=t. Then, by replacing in the second equation, we have the following

$y=t^2 = (x)^2 = x^2$

where $x\geq 0$

5 0

2 years ago

There are 150 oranges, apples and pears in a box. The ratio of the number of oranges to the number of apples is 3:5 and the rati

Rom4ik [11]

Answer:

Pears: 30

Step-by-step explanation:

Constant:

3x + 5x + 2x = 150

10x = 150

x = 15

Multiply ratio with constant from above:

oranges : apples

3 * 15 : 5 * 15

45 : 75 ==> 45 oranges: 75 apples

pears : apples

2 * 15 : 5 * 15

30 : 75 ==> 30 pears: 75 apples

Check:

45 oranges + 75 apples + 30 pears = 150 fruits

4 0

2 years ago

I NEED THE ANSWER FOR THIS TEST PLEASE Simplify -5+i/2i Show work

LenaWriter [7]

$\dfrac{-5+i}{2i}=\dfrac{-5+i}{2i}\cdot\dfrac{i}{i}=\dfrac{-5i+i^2}{2i^2}=\dfrac{-5i-1}{2(-1)}=\dfrac{5i+1}{2}=\dfrac{1}{2}+\dfrac{5}{2}i$

8 0

3 years ago

Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 202020 meters below the edge

aleksklad [387]

Answer:

f(x) = -4x + 20

Refer attachment for graph.

Step-by-step explanation:

Given: when Zane was 20 meters below the edge of a volcano. He heard some rumbling, so he decided to climb up out of there as quickly as he could. He managed to climb up 4 meters each second and get out of the volcano safely.

We have to graph Zane's elevation relative to the edge of the volcano (in meters) as a function of time (in seconds).

Let he takes x seconds to get out of the volcano.

and y be the distance covered by the volcano to reach Zane.

Then, to reach the edge of volcano,

Thus, The equation that represent Zane's elevation relative to the edge of the volcano (in meters) as a function of time (in seconds). is given by

f(x) = -4x + 20

At x = 0 the Zane will be at f(0) = 20 that is 20 meter below the volcano.

Thus points are (0,20)

and when x = 5 Zane will be escaped from volcano.

Thus points are (5,0)

Plot this and obtained the graph for the given equation as attached below.

6 0

3 years ago

Read 2 more answers

Please help me with this question please clarify what you're saying thank you

timurjin [86]

The question is asking for the circumference
The equation for circumference is C=2(Pi)r

to find the radius, half the diameter 4/2=2

the equation is now C=2(Pi)2
simplify the equation...
C=4(Pi)
Pi is 3.1415926535897932384626433832795

Now multiply 3.1415926535897932384626433832795 times 4 = 12.566370614359172953850573533118
Round to nearest tenth...

12.6 mi

3 0

2 years ago