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nignag [31]
4 years ago
6

Find the distance between the points given. (-3, 2) and (9, -3)

Mathematics
1 answer:
g100num [7]4 years ago
8 0
The distance will be given by the equation;
D=\sqrt{( x_{1} - x_{2} )^{2} +( y_{1} - y_{2} )^{2}   }
D=\sqrt{ (-3-9)^{2}+( 2--3)^{2}  }
D=\sqrt{ (-12)^{2} + (5)^{2} }
D=\sqrt{169}
D=13 units
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Suzanne Brett wants to borrow $55,000 from the bank. The interest rate is 6.5% and the term is for 5 years.
creativ13 [48]

The interest would be $17,878

Use:

P(I)(N)

Where P = 55,000

I = 0.065 *found by dividing 6.5/100*

and N = 5

55000(.065)(5) = 17878

8 0
3 years ago
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Evaluate log(-13)<br> Correct answer will get brainliest
Sedaia [141]

if given log(a)=b, where no base is stated, we assume base 10, or log(a)=log_{10}(a)

also, log_a(b)=c translates to/can be written equivilently as a^c=b


therefore, given

log(-13)=? where we want to find ?

assume base 10 and translate

10^?=-13

since we cannot raise a positive number to any real power and give a negative number, ? is not a real number and therefore, there are no real solutions


if we do want to find a solution, we can use Euler's idendity

e^{\pi i}=-1 where i is the complex number i=√-1 and e is euler's number

we can try to change bases to find the value of ?

e^{\pi i}=-1

13e^{\pi i}=-13

so

13e^{\pi i}=10^?

taking ln of both sides

ln(13e^{\pi i})=ln(10^?)

using log rules

ln(13)+(\pi i)ln(e)=(?)ln(10)

ln(13)+\pi i=?ln(10)

divie both side by ln(10)

\frac{ln(13)+\pi i}{ln(10)}=?

in a+bi form

?=\frac{ln(13)}{ln(10)}+\frac{\pi}{ln(10)}i



there are no real numbers that it evaluates to

however, it does evaluate to a complex number which is \frac{ln(13)}{ln(10)}+\frac{\pi}{ln(10)}i or aproximately 1.11394+1.36438i

3 0
3 years ago
Dino help me :))) pls
kipiarov [429]

Answer:

C.

Step-by-step explanation:

red: 3/8 sheet per toy

20 × 3/8 = 60/8 = 56/8 + 4/8 = 7 1/2

yellow: 5/8 sheet per toy

20 × 5/8 = 100/8 = 50/4 = 25/2 = 12 1/2

Since he needs 7 1/2 and 12 1/2, he needs to get 8 and 13 becasue 7 and 12 are not enough.

Answer: C.

4 0
2 years ago
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Fill in the blanks. See picture and give answers please as quickly as possible.
7nadin3 [17]

Answer:

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Vertex= (1,4)

Max/min=(1,4)

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What is the m∠ACD, if m∠ABC = 37?
Stella [2.4K]

Step-by-step explanation:

angle ABC= angle ACB= 37° --------- because AB=AC

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angle ACD=143°

4 0
3 years ago
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