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2 years ago

What is the midpoint of the line segment with endpoints (-10, 9) (6, -7)

Mathematics

2 answers:

MrMuchimi2 years ago

4 0

The midpoint is (-2, 1)

Novay_Z [31]2 years ago

3 0

Answer:

here ( $x_{1$ , $y_{1}$ )=(-10,9)

( $x_{2}$ , $y_{2}$ )=(6,-7)

use formula,

(x1+x2)/2,(y1+y2)/2

(-10+6)/2,(9-7)/2

-6/2,2/2

-3,1

Step-by-step explanation:

therefore midpoint of the given two coordinate points is(-3,1)

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Kryger [21]

Answer:

a) $P= $56,972.5$

b) $A=$1,26,792.3$

Step-by-step explanation:

Given Data:

Interest rate= $r= 0.08$ per year

No. of years= $t=10$

Rate of continuous money flow is given by the function

$f(t)=2000$

a) to find the present value of money

$P=\int\limits^n_0 {f(t)e^{-rt} } \, dt$

Put f(t)=2000 and n=10 years and r=0.08

$P=\int\limits^n_0 {2000e^{-0.08t} } \, dt$

Now integrate

$P= {2000(\frac{e^{-0.08t}}{-0.08} )$

$P= -\frac{2000}{0.08} (e^{-0.08*10}-e^{-0.08*0})$

$P= -\frac{2000}{0.08} (e^{-0.8}-e^{0})$

$P= -\frac{2000}{0.08} (0.4493-2.7282)$

$P= -\frac{2000}{0.08} (-2.2789)$

$P= -25000(-2.2789)$

$P= $56972.5$

(b) to find the accumulated amount of money at t=10

$A=P(e^{rt} )$

Where P is the present worth already calculated in part a

$A=56972.5(e^{0.08*10} )$

$A=56972.5(e^{0.8} )$

$A=56972.5(2.2255 )$

$A=$1,26,792.3$

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3 years ago

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kolbaska11 [484]

Answer: 3a-21

Step-by-step explanation:

Apply distributive property

a=3-3*7

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Answer: 3a--21

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Answer:

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Answer:

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