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son4ous [18]
3 years ago
11

Write an equation for a line perpendicular to y = 2 x + 4 and passing through the point ( − 2 , 3 ) . Express your answer in slo

pe-intercept form.
Mathematics
1 answer:
aleksklad [387]3 years ago
3 0

Answer:

y = -1/2x + 2

Step-by-step explanation:

A perpendicular line will have a opposite reciprocal slope.

Since the line's slope is 2, the perpendicular line will have a slope of -1/2

Plug in the slope and given point into y = mx + b, and solve for b

y = mx + b

3 = -1/2(-2) + b

3 = 1 + b

2 = b

Plug in the slope and b into y = mx + b

y = -1/2x + 2

So, the equation is y = -1/2x + 2

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The switchboard in a Minneapolis law office gets an average of 5.5 incoming phone calls during the noon hour on Mondays. Experie
trasher [3.6K]

Answer:

2.35 calls

Step-by-step explanation:

The presented scenario can be modeled by a Poisson distribution with an average number of calls (μ) of 5.5 during the noon hour on Mondays.

Therefore, the standard deviation for the number of calls received, X, is given by:

\sigma =\sqrt \mu\\\sigma =\sqrt5.5\\\sigma =2.35\ calls

The standard deviation of X is 2.35 calls.

3 0
3 years ago
Read 2 more answers
Write an equation of the parabola in intercept form with x-intercepts of 12 and -6; and an axis of symmetry of (14, 4).
xenn [34]

Intercept form is: y = a(x - p)(x - q)  

It is given that:  p = 14, q = -6, x = 14, y = 4

4 = a(14 - 12)(14 - (-6))

4 = a(2)(20)

4 = 40a

\frac{4}{40} = \frac{40a}{40}

\frac{1}{10} = a

Answer: y = \frac{1}{10}(x - 14)(x + 6)



6 0
3 years ago
Write 2.9302 as a fraction and a mixed number​
bonufazy [111]

rationalise 29302/100000

=14651/50000

8 0
3 years ago
1) A line has a slope of -2 and passes through the points A(x,5), B(4,-5) and C(6,y). Find the coordinates of A and C.
siniylev [52]
1) Coordinates of A: (-1,5)  Coordinates of C: (6,-9)

2) Coordinates of A: (-1,-14) Coordinates of M: (6,7)


3 0
3 years ago
Mr. Trainer is building a bookcase. He has two wooden boards that are each 8 feet long. He needs to cut the wooden boards into p
love history [14]

Answer:

12

Step-by-step explanation:

Length of one of the boards = 8 feet

Converting to inches

1\ \text{foot}=12\ \text{inches}\\\Rightarrow 8\ \text{feet}=8\times 12=96\ \text{inches}

One cut is 16 inches

So, we divide the length of the board by 16

\dfrac{96}{16}=6

So, one board is cut into 6 pieces.

The other board is also 8 feet long.

So, the number of pieces the other board is cut into is also 6.

Hence, a total of 6+6=12 pieces of each 16 inches long can be cut from the two boards.

8 0
3 years ago
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