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miss Akunina [59]
3 years ago
13

A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh

t of 20 mm halfway across a horizontal distance of 160 mm.
Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work.

Part B: Identify the focus, directrix, and axis of symmetry of the parabola.
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
8 0

Answer:

Step-by-step explanation:

Download docx
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Any help with this greatly appreciated.
Anestetic [448]

Put the equation in standard linear form.

x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}

Find the integrating factor.

\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5

Multiply both sides by \mu.

(t+5) x'(t) + x(t) = 5(t+5)e^{5t}

Now the left side the derivative of a product,

\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}

Integrate both sides.

(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt

On the right side, integrate by parts.

(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C

Solve for x(t).

\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}

3 0
2 years ago
Is BC a line segment, a ray, or a line
Anettt [7]

Answer:

Line Segment

Step-by-step explanation:

A line segment has dots on both ends of the line. A line has nothing at either end of it. A ray has an arrow at one end of the line. Line BC is a line segment.

Hope it helps!

7 0
3 years ago
Read 2 more answers
A car travels at a constant speed for 2 hours. what is that speed miles per hour
earnstyle [38]

Answer:

Distance/2 hours

Step-by-step explanation:

Distance=Speed times Time, and since the time is 2 hours, we can say Distance=Speed times 2 hours.

Now we divide both sides by 2 hours, resulting in Distance/2 Hours= Speed.

DUBS

Please consider a brainliest!

3 0
3 years ago
HELP PLEASE!! &lt;3 <br> A rectangle has vertices (w,v), (w,z), and (z,z). Find the fourth vertex.
Vaselesa [24]

Answer:

Hey, Try practiceing on your own

Step-by-step explanation:

8 0
3 years ago
Which of the following capital letters is a reflection image of itself across a horizontal line?​
anygoal [31]

Answer:

H is the reflection of itself in the horizontal line

8 0
3 years ago
Read 2 more answers
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