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3 years ago

5-2(4a+1)+3a=13 A= 2/3 A= -2 A= -6/5 A=2

Mathematics

1 answer:

VMariaS [17]3 years ago

6 0

Answer:

a = -2

Simplifying 5 + -2(4a + 1) + 3a = 13 Reorder the terms: 5 + -2(1 + 4a) + 3a = 13 5 + (1 * -2 + 4a * -2) + 3a = 13 5 + (-2 + -8a) + 3a = 13 Combine like terms: 5 + -2 = 3 3 + -8a + 3a = 13 Combine like terms: -8a + 3a = -5a 3 + -5a = 13 Solving 3 + -5a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5a = 13 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = 13 + -3 -5a = 13 + -3 Combine like terms: 13 + -3 = 10 -5a = 10 Divide each side by '-5'. a = -2

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Keith_Richards [23]

Answer:

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Step-by-step explanation:

Given the ratio a:b (a to b) of two segments formed by a point of partition, and the endpoints of the original segment, we can calculate the point of partition using this formula:

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Formed by the point that partitions the original segment to create the two partitioned ones

→ (x?, y?)

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Here is the substitution:

x₁ = -10

y₁ = -8

x₂ = -8

y₂ = 8

a = 1

b = 3

$( \frac{a }{a + b} (x_{2} - x_{1}) + x_{1}, \frac{a}{a + b} (y_{2} - y_{1})+y_{1})$ . →

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$( (\frac{1}{2}) + (-10), (4) + (-8))$ →

$( (-\frac{19}{2}), (-4))$ →

$( -\frac{19}{2}, -4)$ →

* $( -9.5, -4)$ *

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