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LenaWriter [7]
2 years ago
7

| 2. On rectangle ABCD below, if A is located at

Mathematics
1 answer:
vovangra [49]2 years ago
6 0

Answer:

-2

Step-by-step explanation:

Given that:

A = (3, 4) ; B = (7, 6)

In triangle ABCD, AB and BC are Perpendicular lines :

Slope AB = Rise / Run = (y2 - y1) / (x2 - x1)

y2 = 6 ; y1 = 4 ; x2 = 7 ; x1 = 3

Slope AB = (6 - 4) / (7 - 3) = 2 / 4 = 1 / 2

To obtain the slope of BC:

RECALL:

product of the slope of 2 Perpendicular lines = - 1

Slope AB * Slope BC = - 1

1 / 2 * slope BC = - 1

Slope BC = - 1 ÷ 1/2

Slope BC = - 1 * 2/1

Slope BC = - 2

HENCE, slope of BC = - 2

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A professor pays 25 cents for each blackboard error made in lecture to the student who pointsout the error. In a career ofnyears
arsen [322]

Answer:

The correct answer is "0.0000039110".

Step-by-step explanation:

The given values are:

Y_n\rightarrow N(\mu, \sigma^2)

\mu = 40n

\sigma^2=100n

n=20

then,

The required probability will be:

= P(Y_{20}>1000)

= P(\frac{Y_{20}-\mu}{\sigma} >\frac{1000-40\times 20}{\sqrt{100\times 20} } )

= P(Z>\frac{1000-800}{44.7214} )

= P(Z>\frac{200}{44.7214} )

= P(Z>4.47)

By using the table, we get

= 0.0000039110

6 0
2 years ago
What is the domain and range of the relation shown in the table?
Leokris [45]

Answer:

domain: {-12, -8, 0, 1}   range: {0, 8, 12}

Step-by-step explanation:

domain are of all the input values shown on the x-axis. The range is the set of possible output  shown on the y-axis.

5 0
3 years ago
WILL GIVE BRAINLEIST NEED TO TURN IN BY 9 P.M. PLS HURRY SUPER EASY
yuradex [85]

Answer:

y=2,1

Step-by-step explanation:

If X has to be more than 2 but less than 6 it must be 3,4,5

Because the equation is + that eliminates the answer 5

So the equation can be

3+2=5 or 4+1=5

I hope this helps!

6 0
3 years ago
I can’t figure out the solution I think it is y < -10
Olenka [21]

Hey there!

  • <em>With negatives (-) you have to switch your symbol to the other way</em>
  • \bold{\frac{y}{-2}\leq5}
  • Firstly, substitute the \bold{y\ value  } as an invisible 1
  • So, now we have to flip the equation around
  • \bold{\frac{-1}{2}y\leq5}
  • We have to \bold{multiply} by \bold{-2} on each of your sides
  • \bold{-2\times\frac{-1}{2}\leq-2\times5}
  • \bold{Cancel \ out:2\times\frac{-1}{2}y \ because \ it \ equal \ 1}
  • \bold{Keep: -2\times5 \ because \ it \ helps \ us \ find \ our \ answer}
  • \bold{-2\times5=-10}
  • \boxed{\boxed{\bold{Answer:y\geq-10}}}\checkmark

Good luck on your assignment  and enjoy your day!

~\frak{LoveYourselfFirst:)}

<em />

4 0
3 years ago
-7x - 2y = 19<br> 4x + y = -12<br> Solve the system
nalin [4]

-7x - 2y = 19

4x + y = -12

Set y equal to each other (opposite signs are fine and you could also set x equal instead of y)

-7x - 2y = 19

8x + 2y = -76

Add equations together

x = -52

Plug x value into an equation

4(-52) + y = -12

Solve for y

-208 + y = -12

y = 196

Hope this helps! ;)

4 0
3 years ago
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