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Lubov Fominskaja [6]
3 years ago
7

A ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s. The radius of the ride is 9.0 meters. Which of th

e following shows the direction of the acceleration of the riders?
a
b
c
d

Mathematics
1 answer:
lana [24]3 years ago
4 0

Answer with explanation:

It is given that , ride at an amusement park moves the riders in a circle at a rate of 6.0 m/s.

a=\frac{dv}{dt}=6 m/s

Radius of Circle = 9.0 meters

Acceleration is rate of change of velocity,which will be perpendicular to radius vector.

Also, in terms of mathematics, line from center that is radius , to point of contact that is tangent line ,which is on the circle are perpendicular to each another.

→r(radius vector) ⊥  a(Acceleration vector).

So, In option A, Radius vector is Perpendicular to acceleration of riders.

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-7d=56<br><img src="https://tex.z-dn.net/?f=%20-%207%20%3D%2056" id="TexFormula1" title=" - 7 = 56" alt=" - 7 = 56" align="absmi
PtichkaEL [24]
The only thing you need to do is divide 56 by -7. You know the d must be a negative number because negative x negative= positive. So 56 / -7 is -8.
7 0
2 years ago
WILL GIVE BRAINLIEST
SVETLANKA909090 [29]

Answer:

The correct option is A.

Step-by-step explanation:

If a line passes through two points (x_1,y_1) and (x_2,y_2), then the equation of line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

Let y be the profit (in millions) after x years.

From the given graph it is clear that the line passes through the point (1,-100).

The company paid for these costs and made combined profits of $80 million after 4 years. It means the graph passes through the point (4,80).

The line passes through (1,-100) and (4,80). So, the equation of line is

y-(-100)=\frac{80-(-100)}{4-1}(x-1)

y+100=\frac{180}{3}(x-1)

y+100=60(x-1)

y+100=60x-60

Subtract 100 from both sides.

y+100-100=60x-60-100

y=60x-160

The function form is

f(x)=60x-160

Therefore, the correct option is A.

6 0
3 years ago
Which term describes the dotted line in the quadrilateral?
Tasya [4]
The correct answer is C diagonal
7 0
3 years ago
What is the slope of the line that passes through the points (-10, -8) and (−8,−16)? Write your answer in simplest form.
Leto [7]

Answer:y=-8 x=2

-8/2 or -4

Step-by-step explanation:

3 0
2 years ago
The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). What is the equation of the function in vertex
melomori [17]

Answer:

y = -(x + 5)² + 4

Step-by-step explanation:

The roots are -3 and -7, so:

y = a (x + 3) (x + 7)

Distribute and complete the square:

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

y = a (x + 5)² − 4a

The vertex is (-5, 4), so a = -1.

y = -(x + 5)² + 4

3 0
3 years ago
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