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Inessa05 [86]
3 years ago
14

I'm really confused about this but how do you solve problems with finding the slope of a line pls I need help with a whole front

page of this lol
Mathematics
1 answer:
faust18 [17]3 years ago
6 0
To find the slope you use the slope formula y2-y1 / x2-x1. So use two point on the line we will make ours (1,2) and (3,4). Substitute to make 4-2 / 3-1 = 1/1 so using the rise over run method. The line rises up one and runs by one. The slash mark means divide, it's easiest in a fraction.

Also if you come across the equation y=mx+b, m is the slope and b is the y-intercept, this is called slope intercept formula.
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A piston rises to 5 cm and falls to 3 cm in such a way that it returns to the maximal height three times every two seconds. If w
sveticcg [70]

Answer:

(1 cm)cos3πt

Step-by-step explanation:

Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft

where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.

Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations  = 2 s

So, f = 3/2 s =1.5 /s = 1.5 Hz

Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm

h = Acos2πft

= (1 cm)cos2π(1.5Hz)t

= (1 cm)cos3πt

7 0
3 years ago
Solve 4 | x + 7|= 16.
elena55 [62]

Answer:

you should try m a t h w a y it would help with math questions

3 0
3 years ago
Read 2 more answers
If 16 counters is 4/9 what is the ONE?
klemol [59]
(4/9)/16 = 4/(9*16) = 4/(4*4*9) = 1/(4*9) = 1/36

One counter is \frac{1}{36}<span> if 16 of them are </span>\frac{4}{9}
5 0
2 years ago
A car uses 1 1/8 gallons of gas to go 13 1/2<br> miles. What is the rate of miles per gallon?
IceJOKER [234]

Answer:

1 1/8 ga / 13.5 mi = .0833 ga / mi

1 / .0833 ga/mi = 12 mi / ga

or .0833 ga/mi * 13.5 mi = 1.25 ga

7 0
3 years ago
One angle of a triangle has a measure of 36°. The measure of the third angle is 28° less than 3 times the measure of the second
Alex_Xolod [135]

Answer:

  1. Define your variable and write your equation:  36 + b + (3b-28) = 180°.
  2. measure of the second angle: 43°.
  3. measure of the third angle: 101°

Step-by-step explanation:

a = 36

c = 3b - 28

a + b + c = 180°

a = measure of the first angle

b = measure of the second angle

c = measure of the third angle

then:

1)  36 + b + (3b-28) = 180   ⇒ )Define your variable. Write your equation and solve)

b + 3b + 36 - 28 = 180

4b + 8 = 180

4b = 180 - 8

4b = 172

b = 172/4

2)   b = 43°        ⇒   measure of the second angle

c = 3b - 28

c = 3*43 - 28

c = 129 - 28

3) c = 101°      ⇒   measure of the third angle

Check:

36° + 43° + 101° = 180°

8 0
2 years ago
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