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vagabundo [1.1K]
3 years ago
9

Convert to slope intercept form: 3x-4y=8 then graph the line on the grid

Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

y=3/4x-2

a=(8/3,0)

b=(0,-2)

m=3/4

Step-by-step explanation:

STEP 1

3x-4y =8 substract 3x from both sides

-4y=-3x+8 divide -4 to everything

y=3/4x-2

STEP 2

substitute 0 for y and solve for a (x-intercept)

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SOMEONE HELP!!!
Tasya [4]

Step-by-step explanation:

a) here,

diametre = 19 cm

Area = ?

Now,

Area = pie d

= 22/7 *19

59.71 cm2

Therefore, area = 59.71 sq.cm.

b)

here,

Area = 1000 sq.cm

diametre = ?

Now ,

Area = pie d

1000 = 22/7 *d

7000 = 22 * d ( cross multiply between 7&1000)

7000/22 = d

318.18 = d

Therefore, diametre = 318.18 cm .

4 0
2 years ago
A mass of 3.25 kg is attached to the end of a spring that is stretched 22 cm by a force of 15 N. It is set in motion with an ini
mylen [45]

Answer:

Step-by-step explanation:

Given that,

Mass of object=3.25kg

The extension e=22cm=0.22m

Force applied to cause extension F=15N

Initial position Xo=0

Initial velocity Vo=-12m/s

We can get the spring constant from Hooke's law

F=ke

Then, k=F/e

k=15/0.22

k=68.182N/m

Also our natural frequency w is given as

w=√(k/m)

Therefore,

w=√(68.182/3.24)

w=√20.98

w=√21

w=4.58rad/s

w=4.6rad/s

There is no damping in this situation, no outside force acting on the system and the equation that governs the system is

mx''+kx=0

3.25x''+68.182x=0

Divide through by 3.25

x''+20.98x=0

We can approximate 20.98 to 21

x"+21x=0

The solution to this differential equation using D operator

D²+21=0

D²=-21

D= ±√-21

D=±√21 •i

Then the solution is

x(t)=A•Sinwt +B•Coswt

x(t)=A•Sin√21 t +B•Cos√21 t

Note that x'(t)=v(t)

and at t=0 Vo=-12m/s

x(t)=A•Sin√21 t +B•Cos√21 t

x'(t)=v(t)=A√21•Cos√21 t - B√21•Sin√21 t

v(t)=A√21•Cos√21 t - B√21•Sin√21 t

Then, using the two initial conditions

v(0)=-12

And X(0)=0

x(t)=A•Sin√21 t +B•Cos√21 t

X(0)=A•Sin√21•0 +B•Cos√21•0

X(0)=A•Sin0+B•Cos0

0=B

B=0

Also,, V(0)=-12m/s

v(t)=A√21•Cos√21 t - B√21•Sin√21 t

V(0)=A√21•Cos√21•0- B√21•Sin√21•0

V(0)=A√21•Cos0- B√21•Sin0

-12=A√21

Therefore,

A=-12/√21

A=-2.62

Therefore the general equation becomes

x(t)=A•Sin√21 t +B•Cos√21 t

x(t)=-2.62Sin√21 t +0•Cos√21 t

x(t)=-2.62Sin√21 t

a. The amplitude

Comparing x(t) to wave equations

x(t)=-Asin(wt+2λ/t)

Then,

A=2.62m

b. We know the natural frequency already to be

w=√21

w=4.58rad/s

c. Period

Comparing the equation again

wt=√21t

Given that w=2πf

Therefore, 2πft=√21t

Then, f=√21t / 2πt

f=√21/2π

f=0.73Hz

Then, period is the reciprocal of frequency

T=1/f

T=1/0.73

T=1.37seconds

The period is 1.37sec,

5 0
3 years ago
Simplify<br><br> x^4 * x <br><br> What would be the simplified answer
kramer

Answer: The simplified answer will be: x^5

Step-by-step explanation:

x4x

=x4*x1

=(x*x*x*x)*(x)

=x*x*x*x*x

=x^5

5 0
2 years ago
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After rewriting all sets of data from smaller to greater, I found that the last series is the one that is represented by the plot box:

79,86,88,88,92,98,100,106,115,136

Why? Because The median is 95 (like the box)

because the outliers are >  115  (up to 136)
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7 0
3 years ago
I want only question number 3
zmey [24]

Answer:

Computers R Us has a better price because it cost less at the same production rate.

Step-by-step explanation: to graph y=23.5x you just plug in numbers. If x = 1, 23.5 (1), which equals y. Now you can keep doing this to get up to 4. You may use a calculator if youd like.


3 0
3 years ago
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