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Blizzard [7]
3 years ago
7

Which is the slope of the line with equation 7 x − 3 y = 21 ?

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0

Answer:

slope = \frac{7}{3}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 7x - 3y = 21 into this form

Subtract 7x from both sides

- 3y = - 7x + 21 ( divide all terms by - 3 )

y = \frac{7}{3} x - 7 ← in slope- intercept form

with slope m = \frac{7}{3}

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Answer:

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Make q subject of the formula 2(q+p) = 1+5q
m_a_m_a [10]

Answer:

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6 0
2 years ago
A ball is thrown in the air from a height of 3 m with an initial velocity of 12 m/s. To the nearest tenth of a second, how long
stepladder [879]

Answer:  1.4 seconds

<u>Step-by-step explanation:</u>

The equation is: h(t) = at² + v₀t + h₀          where

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  • v₀ is the initial velocity
  • h₀ is the initial height

Given:  

  • a = -9.81 (if it wasn't given in your textbook, you can look it up)
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  • h₀ = 3

Since we are trying to find out when it lands on the ground, h(t) = 0

EQUATION:   0 = 9.81t² + 12t + 3

Use the quadratic equation to find the x-intercepts

                        a=-9.81, b=12, c=3

x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-9.81)(3)}}{2(-9.81)}\\\\\\x=\dfrac{-12\pm 16.2}{-19.62}\\\\\\x=\dfrac{-12+ 16.2}{-19.62}=-0.2\qquad x=\dfrac{-12- 16.2}{-19.62}=\large\boxed{1.4}\\

Note: Negative time (-0.2) is not valid

4 0
3 years ago
1. Each row in a window display of floppy disk cartons contains two more boxes than the row above. The first row has one box. a.
Oduvanchick [21]
Each row has two more boxes than the row above. The first row has one box 

The boxes in a row form an arithmetic sequence with the first term, a₁ = 1 and the common difference, d=2.
The n-th term is
a_{n} = a+(n-1)d
The sum of n terms is
S_{n} = \frac{n}{2}(a_{1} + a_{n})

Answer:
The table will have the following:

Row Number:                        1   2   3    4    5    6
Boxes in the row:                  1   3   5    7    9    11
Total boxes in the display:    1   4   9  16  25  36
8 0
3 years ago
the numbers 1,2,3,4, and 5 are written on slips of paper, and 2 slips are drawn at random one at a time without replacet. find t
Tresset [83]

Consider such events:

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Pr(B)=\dfrac{2}{20}=\dfrac{1}{10}.

3. Then

Pr(A|B)=\dfrac{\frac{1}{20} }{\frac{1}{10} }=\dfrac{1}{2}.

Answer: \dfrac{1}{2}.

5 0
3 years ago
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