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4 years ago

I don't know how to do this

Mathematics

1 answer:

Dvinal [7]4 years ago

3 0

$a_1=2;\ r=-\dfrac{3}{2}\\\\a_2=a_1r\to a_2=2\cdot\left(-\dfrac{3}{2}\right)=-3\\\\a_3=a_2r\to a_3=-3\cdot\left(-\dfrac{3}{2}\right)=\dfrac{9}{2}\\\\a_4=a_3r\to a_4=\dfrac{9}{2}\cdot\left(-\dfrac{3}{2}\right)=-\dfrac{27}{4}\\\\a_5=a_4r\to a_5=-\dfrac{27}{4}\cdot\left(-\dfrac{3}{2}\right)=\dfrac{81}{8}$

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What is the equation of the line that passes through the point (3, 0) and is perpendicular to the line 2x – y = 5?

Lisa [10]

Answer:

$\large\boxed{y=-\dfrac{1}{2}x+\dfrac{3}{2}}$

Step-by-step explanation:

$\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ 2x-y=5.\\\\\text{Convert to the slope-intercept form y = mx + b:}\\\\2x-y=5\qquad\text{subtract 2x from both sides}\\\\-y=-2x+5\qquad\text{change the signs}\\\\y=2x-5\to m_1=2\\\\\text{Therefore}\ m_2=-\dfrac{1}{2}.$

$\text{The equation of the searched line:}\ y=-\dfrac{1}{2}x+b.\\\\\text{The line passes through }(3,\ 0).\\\\\text{Put the coordinates of the point to the equation.}\ x=3,\ y=0:\\\\0=-\dfrac{1}{2}(3)+b\\\\0=-\dfrac{3}{2}+b\qquad\text{add}\ \dfrac{3}{2} \text{to both sides}\\\\b=\dfrac{3}{2}$

8 0

4 years ago

Tyler knows that the distance around a running track is 400 meters. Beth, Tyler's sister, decides to measure the running track w

Shalnov [3]

Answer:

Step-by-step explanation:

True measurements = 400 meters

Observed measurements = 392 meters

% error = change in measurements / true measurements × 100/1

= (400 - 392) / 400 × 100

= 8/400 × 100

= 0.02 × 100

= 2%

Percentage error of Beth measurements = 2%

4 0

3 years ago

How do you find the parameterization of a helix?

Marina CMI [18]

Answer:

$\left\{\begin{array}{l}x=r\cos t\\ \\ y=r\sin t\\ \\z=at\end{array}\right.$

Step-by-step explanation:

A <u>helix</u> is a curve for which the tangent makes a constant angle with a fixed line. The shortest path between two points on a cylinder (one not directly above the other) is a fractional turn of a helix, as can be seen by cutting the cylinder along one of its sides, flattening it out, and noting that a straight line connecting the points becomes helical upon re-wrapping (see attached diagram for helix).

The parametrization for the helix is

$\left\{\begin{array}{l}x=r\cos t\\ \\ y=r\sin t\\ \\z=at\end{array}\right.,$

where $r$ is the radius of the helix, $a$ is the constant, and $t\in [0,2\pi )$ is the parameter

7 0

4 years ago

Answer corecctly plss<br> 7(2+5v0=2v+14

Radda [10]

Answer:

v=0

Step-by-step explanation:

I think you mean 7(2+5v)=2v+14.

14+35v=2v+14 distribute

33v=0 Subtract 2v and 14

v=0 divide by 33 on both sides

Hope this helps plz mark brainliest if correct :D

7 0

3 years ago

A robot can complete 8 tasks in 3/5

vekshin1

Since 3/5 of an hour is 36 minutes and the robot can complete 8 tasks in 36 minutes. The remaining minutes are 24 and in 24 minutes the robot can do about 5 tasks so add 5 and 8 to get about 13 tasks in an hour.

Explanation: Just divide 36 by 24 to get 1.5 and divide 8 by 1.5 to get about 5. Then add 8 + 5 to get 13 the final result. So it’s 13 tasks. Sorry if I got it wrong.

8 0

3 years ago