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Mice21 [21]
2 years ago
10

Find the coordinates of the midpoint of the segment connecting points (-3,-6) and ( 2,5)

Mathematics
1 answer:
marin [14]2 years ago
4 0
I solved it on paper so it's easier. 

But good luck ! :)

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Solve 10e^2x - 5 =23^x for x.
yawa3891 [41]

10e^{2x}-5=23e^x\qquad\text{subtract}\ 23e^x\ \text{from both sides}\\\\10e^{2x}-23e^x-5=0\\\\10(e^x)^2-23(e^x)-5=0\\\\\text{substitution:}\ e^x=t > 0\\\\10t^2-23t-5=0\\\\10t^2-25t+2t-5=0\\\\5t(2t-5)+1(2t-5)=0\\\\(2t-5)(5t+1)=0\iff2t-5=0\ \vee\ 5t+1=0\\\\2t=5\ \vee\ 5t=-1\\\\t=\dfrac{5}{2} > 0\ \vee\ t=-\dfrac{1}{5} < 0\\\\\text{therefore}\ e^x=\dfrac{5}{2}\to\ln e^x=\ln\left(\dfrac{5}{2}\right)\\\\\boxed{x=\ln\left(\dfrac{5}{2}\right)}

5 0
2 years ago
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How to simplify <br> -6k +7k<br> 12r -8 -12<br> n -10 +9n -3<br> -4x-10x<br> -r -10r
Semmy [17]

Answer:

Solve by adding or subtracting like terms. (Ex. 2k + 4k = 6k; 9 + 7 = 16)

- 6k + 7k = 1k = k

(7 - 6 = 1)

12r - 8 - 12 = 12r - 20

(8 + 12 = 20 but sign is negative) 12r will stay the same because there are no terms with a letter r.

n - 10 + 9n - 3 = 9n + n - 10 - 3 = 10n - 10 - 3 = 10n - 13

(n = 1 so 9 + 1 = 10; 10 + 3 = 13 but negative sign)

- 4x - 10x = 14x

(10 + 4 = 14)

- r - 10r = 11r

(r = 1 so 10 + 1 = 11)

6 0
3 years ago
 Neda sells televisions. She earns a fixed amount for each television and an additional $ 15 if the buyer gets an extended warra
Alex Ar [27]

Answer:

$50

Step-by-step explanation:

15x18=270

1170-270=900

900/18=50

7 0
2 years ago
Ten year old Chi learned a lot of math from his older brother, Shing. One day, Shing told him that when you multiply a number by
deff fn [24]

Answer:

This is true

Step-by-step explanation:

10x1 is 10. 10x10 is 100. but if u did 100x10 you would add the amount of zeros total. which would be 1000. so 400x10 is 4000

7 0
3 years ago
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12 more than (-17) is<br><br> A. 29 B. -29 C. -2 D. -5
Ivanshal [37]
-5 because 12+-17 is -5
7 0
3 years ago
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