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Alisiya [41]
3 years ago
15

Line segment ST has endpoints (3,2) and (7,4). What is the equation for the perpendicular bisecotr?

Mathematics
1 answer:
Lena [83]3 years ago
7 0
We need Vector ST which is just T - S

(7-3.4-2) = (4,2)

So now we need the perpindicular. The easiest way to do this, is to know that , in R2 that the perindicular is just the negatice inverse.  So its (2,-4)
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-4x – 2y=-12<br> 4x + 8y=-24<br> Solve each system by elimination
kirza4 [7]

Answer:

x = 6 and y = - 6

Step-by-step explanation:

- 4 x - 2 y = -12.......equ No 1

 4 x +  8y = - 24.......equ No 2

Adding equ No 1 and equ No 2

6 y = - 36

∴ y = - 6

substitute y = - 6 in equ No 2

4 x + 8 y = -24

4 x + 8 ×( -6) = - 24

4 x - 48 = -24

4 x = -24 + 48

4 x = 24

∴ x = 6

x = 6 and y = - 6

7 0
3 years ago
Graph the inequality on the axes below.<br> 3x +y &gt; -7
irina1246 [14]

Step-by-step explanation:

use desmos it's a graphing calculator just put in the equation

4 0
3 years ago
4xsquared - 9=0? could anyone help me solve this quadratic equation by FACTORING?
Verizon [17]
\bf \textit{difference of squares}&#10;\\ \quad \\&#10;(a-b)(a+b) = a^2-b^2\qquad \qquad &#10;a^2-b^2 = (a-b)(a+b)\\\\&#10;-------------------------------\\\\&#10;4x^2-9=0\implies 2^2x^2-3^2=0\implies (2x)^2-3^2=0&#10;\\\\\\\&#10;[(2x)-3][(2x)+3]=0\implies &#10;\begin{cases}&#10;2x-3=0\\&#10;2x=3\\&#10;x=\frac{3}{2}\\&#10;------\\&#10;2x+3=0\\&#10;2x=-3\\&#10;x=-\frac{3}{2}&#10;\end{cases}
7 0
3 years ago
What is the solution to the system of equations?<br><br> y = x + 1<br><br> y = x - 1
kaheart [24]

Answer:

No solution I believe

Step-by-step explanation:

3 0
3 years ago
Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is f
almond37 [142]

Answer:

The probability is 0.001812

Step-by-step explanation:

Let's call: F the event in which a user is fraudulent, L the event in which a user is legitimate and A the event in which the user calls from two or more metropolitan areas.

So, the probability that the user is fraudulent given that the user call from two or more metropolitan areas is calculated as:

P(F/A) = P(F∩A)/P(A)

Where P(A) = P(F∩A) + P(L∩A)

So, P(F∩A) is the probability that the user is fraudulent and the user calls from two or more metropolitan areas. it is calculated as:

P(F∩A) = 0.0121% * 30% = 0.00363%

Because 0.0121% is the proportion of fraudulent users and 30% is the percentage of the fraudulent users that call from two or more metropolitan areas in a single day.

At the same way, P(L∩A) is the probability that a user is legitimate and the users calls from two or more metropolitan areas. It is calculated as:

P(L∩A) = (100%-0.0121%) * 2% = 1.999758%

Because (100%-0.0121%) is the proportion of legitimate users and 2% is the percentage of the legitimate users that call from two or more metropolitan areas in a single day.

Then, P(A) is calculated as:

P(A) = 0.00363% + 1.999758%

P(A) = 2.003388%

Finally, If the same user originates calls from two or more metropolitan areas in a single day, the probability that the user is fraudulent, P(F/A), is equal to:

P(F/A) = 0.00363 / 2.003388

P(F/A) = 0.001812

5 0
3 years ago
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