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lubasha [3.4K]
3 years ago
13

50 Pts!!!!!!! What is the straight line distance between the points?

Mathematics
1 answer:
Rainbow [258]3 years ago
4 0
The straight line distance is the square root of 74 ( which is APROXÍMATELY 8.602)
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Could someone help me, please?
k0ka [10]

We can rewrite the expression under the radical as

\dfrac{81}{16}a^8b^{12}c^{16}=\left(\dfrac32a^2b^3c^4\right)^4

then taking the fourth root, we get

\sqrt[4]{\left(\dfrac32a^2b^3c^4\right)^4}=\left|\dfrac32a^2b^3c^4\right|

Why the absolute value? It's for the same reason that

\sqrt{x^2}=|x|

since both (-x)^2 and x^2 return the same number x^2, and |x| captures both possibilities. From here, we have

\left|\dfrac32a^2b^3c^4\right|=\left|\dfrac32\right|\left|a^2\right|\left|b^3\right|\left|c^4\right|

The absolute values disappear on all but the b term because all of \dfrac32, a^2 and c^4 are positive, while b^3 could potentially be negative. So we end up with

\dfrac32a^2\left|b^3\right|c^4=\dfrac32a^2|b|^3c^4

3 0
3 years ago
How do you solve 6 x + 5 x − 25 = − 5 x − 28
Travka [436]

Answer:

x = -3/16

Step-by-step explanation:

6x + 5x - 25 = -5x - 28

11x - 25 = -5x - 28

Add 5x to both sides.

16x - 25 = -5x + 5x - 28

16x - 25 = -28

Add 25 to both sides.

16x - 25 + 25 = -28 + 25

16x = -3

Divide both sides by 16

16/16 = 1

-3/16

x = -3/16

3 0
3 years ago
Victoria wants to plant a vegetable garden in the shape of a square. she has a space allocated in her backyard that will accommo
Nastasia [14]

The side is (2x+3)?  then the area is: (2x+3)(2x+3) = 4 x^2 + 12 x + 9  if x = 6 then Area = 4(36)+12(6)+9 = 144 + 72 + 9 = 225, too big :(

8 0
3 years ago
Carbon has a half life of 5730 years. How much carbon would be left after 3 half life's with 56 grams
Maslowich

Answer:

how much was originally?

Step-by-step explanation:

8 0
3 years ago
Michael is paid $9 per hour to work at the movie theater and $7 per hour when he helps his aunt at her bakery. Michael cannot wo
evablogger [386]

if he works at the theater he can make $288 in 32 hours, if he works at his aunts he can make $224 in 32 hours. he should work at the theater to meet his goal.

I really hope this helps

4 0
3 years ago
Read 2 more answers
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