1. Which measurement represents the height of the parallelogram? (1 point)<br> 6 m<br> 4.2 m<br> 3 m

PQ and RS are two chords of a circle with centre O. The perpendiculars drawn from O to PQ and RS are OX and OY respectively. Sho

Kipish [7]

Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

How many solutions can a linear equation have?

Hunter-Best [27]

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).
A system of linear equations has one solution when the graphs intersect at a point...!

6 0

3 years ago

Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tab

natta225 [31]

Answer:

(a) at t=2, the particle is moving toward the origin

(b) a(t) = 70(8 -9t^2)/(3t^2 +8)^3; a(2) = -0.245

(c) the particle approaches x = 1/3 as t gets large

Step-by-step explanation:

(a) The function x(t) is negative for -3 < t < 3, so at t = 2, the particle is to the left of the origin.

The velocity of the particle is given by the derivative of the position function:

$x'(t)=\dfrac{(3t^2+8)(2t)-(t^2-9)(6t)}{(3t^2+8)^2}=\dfrac{70t}{(3t^2+8)^2}$

Then, at t=2, the expression is positive, indicating the particle is moving toward the origin.

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(b) The acceleration is the derivative of the velocity, so is ...

$a(t)=\dfrac{70(3t^2+8)^2-(70t)(12t)(3t^2+8)}{(3t^2+8)^4}=\dfrac{70(3t^2+8-12t^2)}{(3t^2+8)^3}\\\\\boxed{a(t)=\dfrac{70(8-9t^2)}{(3t^2+8)^3}}$

Then at t=2, the acceleration is ...

a(2) = 70(8 -9·4)/(3·4+8)^3 = 70(-28)/8000

a(2) = -0.245

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(c) As t gets large, the value of x(t) approaches t^2/(3t^2) = 1/3.

7 0

4 years ago

Write an equation perpendicular to the line 6x+12y=24 and passing through (4,0)

noname [10]

Y = 2x - 8 is perpendicular to 6x+12y=24 and passes through (4,0)

6 0

3 years ago

If jill climed 100 feet more how many feet above sea level would she be

Anit [1.1K]

You have to have a better question to answer that, 100 feet more what?

5 0

3 years ago

1. Which measurement represents the height of the parallelogram? (1 point) 6 m 4.2 m 3 m