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MatroZZZ [7]
3 years ago
9

What is the distance between (4, 5) and (-7, -4) round to the nearest 10th if necessary

Mathematics
1 answer:
Vladimir [108]3 years ago
4 0

Answer:

14.2 units

Step-by-step explanation:

use the distance formula -  take the <u>square root</u> of the following:

(y_{2}-y_{1})^2 +(x_{2}-x_{1})^2

should be sq rt of 202, or approx 14.2 units

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aksik [14]
Remember: xᵃ. xᵇ = xᵃ⁺ᵇ

and (xᵃ)ᵇ = xᵃᵇ

For easy understanding, let's solve each parenthesis separately, starting with the numerator: (you start eliminating the external parenthesis

:((a³ • b⁵)⁸)¹/² • (a² • c³)⁵ • (c⁵ • b) ⁻² • a³

((a³ • b⁵)⁸)¹/² = (a³ • b⁵)⁴ = a¹² • b²⁰   (1)

(a² • c³)⁵ = a¹⁰ • c¹⁵ (2)

(c⁵ • b) ⁻² • a³ = c⁻¹⁰ • b⁻² • a³ (3)

Now (1).(2).(3) = (a¹² • b²⁰) . (a¹⁰ • c¹⁵).( c⁻¹⁰ • b⁻² • a³)= 

a¹²⁺¹⁰⁺³.b²⁰⁻².c¹⁵⁻¹⁰ = a²⁵.b¹⁸.c₅  (4) . ((4) is the numerator simplified)

Let's proceed the same way with the denominator:

(a³ • c⁻¹)⁻⁵ • (b²)⁻⁷• ((b⁴ • a⁵)²⁴) ¹/³

(a³ • c⁻¹)⁻⁵ = a⁻¹⁵.c⁵ (5)

(b²)⁻⁷ = b⁻¹⁴  (6)

((b⁴ • a⁵)²⁴) ¹/³ = (b⁴ • a⁵)⁸ = b³².a⁴⁰ (7)

Now (5).(6).(7) = (a⁻¹⁵.c⁵).(b⁻¹⁴).(b³².a⁴⁰) =

a⁻¹⁵⁺⁴⁰.b⁻¹⁴⁺³².c⁵ =

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