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tensa zangetsu [6.8K]
3 years ago
11

Write the equation of the perpendicular bisector of AB if A(-6, -4) and B (2,0).

Mathematics
1 answer:
valkas [14]3 years ago
4 0

Answer:

Step-by-step explanation:

Long way:

Find the midpoint (M) of AB, find the slope(m) of the line AB, then find the equation of the line through M with slope -1/m, which is the perpendicular bisector of AB.

Short way:

The perpendicular bisector of (x₁,y₁) and (x₂,y₂): 2(x₂-x₁)x + 2(y₂-y₁)y = x₂²-x₁²+y₂²-y₁².

Here this is 2(1-(-4))x + 2(6-4)y = 1²-(-4)²+6²-4² which is 10x + 4y = 5.

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-5 1/2 divided by (-4 1/2)
const2013 [10]

Answer:

1 2/9

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

−112÷−92

Applying the fractions formula for division,

=−11×22×−9

=−22−18

Simplifying -22/-18, the answer is

=129

7 0
3 years ago
Read 2 more answers
Find the amount in a account where $200 is invested at 3.5% compounded quarterly for a period of 3 years.
AveGali [126]

Answer:

$222.04

Step-by-step explanation:

Use the compound amount formula A = P(1 + r/n)^(nt), where n is the number of times interest is compounded per year, t is the number of years and r is the interest rate as a decimal fraction.

Here, A = ($200)(1 + 0.035/4)^(4*3), or

             = ($200)(1.00875)^(12)  =  $200(1.11) = $222.04

The compound amout after 4 years (12 compounds) will be $222.04.

6 0
3 years ago
The solution set of the equation is If √x + 3 = 3 -x is?
jolli1 [7]
Two parallel strings of 12 and 20 cm are drawn in a circle. If the distance
between them it is 4 cm; How big is the diameter?
8 0
3 years ago
X and Y intercept equations x +2y =18
Rufina [12.5K]

Answer:

(0,9) and (18,0)

Step-by-step explanation:

To find the x-intercept, set y = 0.  Note how this equation x + 2y = 18 becomes x = 18.  Thus, the x-intercept is (18,0).


To find the y-intercept, set x = 0.  Then 2y = 18, and y = 9.  The y-intercept is (0,9).

3 0
3 years ago
Find the limit of the function by using direct substitution.
serg [7]

Answer:

Option a.

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

Step-by-step explanation:

You have the following limit:

\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}

The method of direct substitution consists of substituting the value of \frac{\pi}{2} in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing x=\frac{\pi}{2}

Therefore:

\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}

cos(\frac{\pi}{2})=0\\

By definition, any number raised to exponent 0 is equal to 1

So

\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\

\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1

Finally

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

6 0
3 years ago
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