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Anna [14]
3 years ago
10

(4,2) slope=3 Given the point and slope write the equation of line

Mathematics
1 answer:
olasank [31]3 years ago
7 0

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

We need to find the y-intercept.

2 = 3(4) + b

2 = 12 + b

2 - 12 = 12 + b - 12

-10 = b

Now, fill in the equation.

y = 3x - 10

Hope This Helped! Good Luck!

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-x + 3y = -23<br> -8x - 3y = -22<br> using elimination
Nikolay [14]
72.00 with lend kids due is due I’d fue Uc fue. Cheh89 je 90
4 0
2 years ago
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the probability density for a particle in a box is an oscillatory function even for very large energies. Explain how the classic
77julia77 [94]

Answer:

This is achieved for the specific case when high quantum number with low resolution is present.

Step-by-step explanation:

In Quantum Mechanics, the probability density defines the region in which the  likelihood of finding the particle is most.

Now for the particle in the box, the probability density is also dependent on resolution as well so for large quantum number with small resolution, the oscillations will be densely packed and thus indicating in the formation of a constant probability density throughout similar to that of classical approach.

8 0
3 years ago
Tell whether the lines through the given points are parallel, perpendicular, or neither.
ira [324]

Answer: Line 1: (2, 3) , (4, 12)

m = (12 - 3)/(4 - 2) = 9/2  This is the slope of the line

y = (9/2)x + b

3 = (9/2)(2) + b

3 = 9 + b

b = -6

y = (9/2)x  - 6

 

Line 2: (5, 10) , (14,8)

m = (8 - 10)/(14 - 5) = -2/9

this slope is the opposite sign, and inverse of the first equation's slope.  Therefore, the line is perpendicular.

y = mx + b

8 = (-2/9)(14) + b

8 = -28/9 + b

11.11 = b

y = (-2/9)x + 11.11

Step-by-step explanation: Hope this helps :)

7 0
2 years ago
PLEASE HELP
NeTakaya

Answer:

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct

Step-by-step explanation:

step 1

Find the area of the base of the rectangular pyramid

we know that

The volume of the rectangular pyramid is equal to

V=\frac{1}{3}BH

where

B is the area of the base

H is the height of the pyramid

we have

V=40\ units^{3}

H=6\ units

substitute and solve for B

40=\frac{1}{3}B(6)

120=B(6)

B=120/6=20\ units^{2}

step 2

Find the volume of the rectangular prism with the same base area and height

we know that

The volume of the rectangular prism is equal to

V=BH

we have

B=20\ units^{2}

H=6\ units

substitute

V=(20)(6)=120\ units^{3}

therefore

The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct

3 0
3 years ago
What is the value of x????
inysia [295]

If QR is a median, then:

\dfrac{NO+MP}{2}=QR

We have NO = 30, MP = 9x - 42 and QR = x + 15. Substitute:

\dfrac{30+9x-42}{2}=x+15\qquad\text{multiply both sides by 2}\\\\9x-12=2x+30\qquad\text{add 12 to both sides}\\\\9x=2x+42\qquad\text{subtract 2x from both sides}\\\\7x=42\qquad\text{divide both sides by 7}\\\\\boxed{x=6}

<h3>Answer: A. 6</h3>
3 0
3 years ago
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