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3 years ago

Do all perpendicular lines have negative reciprocal slopes?

Mathematics

1 answer:

inna [77]3 years ago

6 0

Not necessarily, the more correct definition is opposite reciprocal slopes.

The example used is how horizontal and vertical lines are parallel. Horizontal lines have a slope of 0, also written as 0/1. However, vertical lines have an undefined slope, which isn't necessarily negative. It has a slope of 1/0, which is undefined. In this case, the reciprocal isn't negative.

In all other cases (1 and -1, 2 and -1/2, etc.) yes, the perpendicular pairs are negative and reciprocal.

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1a. 182 Freshmen were surveyed on whether they participate in a sport. 110 said yes, 40 boys said no, 90 girls were in the surve

Bas_tet [7]

Answer:

yes no total

girls 58 32 90

boys 52 40 92

total 110 72 182

Step-by-step explanation:

if 182 freshmen were surveyed and 110 said yes, then 182 - 110 = 72 said no

if 40 boys said no, then 72 - 40 = 32 girls said no

if 90 girls were surveyed, then 182 - 90 = 92 boys were surveyed

if 40 boys said no, then 92 - 40 = 52 said yes

if 32 girls said no, then 90 - 32 = 58 said yes

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3 years ago

Please help me!!!!!!!!!!

PolarNik [594]

Just divide the arc the inscribe angle forms by 2. So 100/2 = 50 = a, and b is 55.

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3 years ago

Read 2 more answers

Haley and Nicole stopped at the school bookstore for extra supplies. Haley

nata0808 [166]

Answer:

Step-by-step explanation:

8p+3f=10.39

5p+4f=10.51

subtract

3p-f=-0.12

f=3p+0.12

8p+3(3p+0.12)=10.39

17p=10.39-0.36

17p=10.03

p=10.03/17=0.59

f=3×0.59+0.12=1.77+0.12=1.89 $

or 40 p+15f-40p-32f=51.95-84.08

-17f=-32.13

f=1.89 $

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3 years ago

A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The

liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

$y =Ae^{-kt}\cos(2\pi ft)$ .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

$y =0.6e^{-1.8t}\cos(2\pi 105t)$

$y =0.6e^{-1.8t}\cos(210\pi t)$

(a)

The trigonometric function that models the motion of the string is given by:

$y =0.6e^{-1.8t}\cos(210\pi t)$

(b)

Determine the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$

Using graphing calculator for the equation

$y =0.6e^{-1.8x}\cos(210\pi x)$

let x = t (time in sec)

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$ is, 0.5 sec

4 0

3 years ago

Martha and sarah leave block p and q towards q and p respectively simultaneously and travel in the same route. After meeting eac

olga_2 [115]

The average speed of Martha and Sarah is 32 km/h.

We need to know about the speed to solve this problem. Speed can be determined as the distance traveled divided by time. It can be written as

v = s / t

where v is speed, s is distance and t is time.

From the question above, we know that:

t sarah = 3 hours

t martha = 5 hours

v sarah = 40 km/h

By using the speed equation, we get the distance

vsarah = s / tsarah

40 = s/3

s = 120 km

Find Martha's speed

vmartha = s / tmartha

vmartha = 120 / 5

vmartha = 24 km/h

Find average speed

v = (vsarah + vmartha)/2

v = (40 + 24) / 2

v = 32 km/h

Hence, the average speed of Martha and Sarah is 32 km/h.

Find more on speed at: brainly.com/question/6504879

#SPJ4

5 0

1 year ago