2 years ago

What are the solutions of x4 + 6X-6= 10?

Mathematics

1 answer:

blsea [12.9K]2 years ago

6 0

Answer:

x = 1.6

Step-by-step explanation:

4x + 6x - 6 = 10

10x - 6 = 10

+6 +6

10x = 16

10x/10 = 16/10

x = 1.6

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3 years ago

If point P is 4/7 of the distnace frm M to N, what ratio does the point P partiion the directed line segment from M to N

vredina [299]

Answer: 4:3.

Step-by-step explanation:

Given: Point P is $\dfrac{4}{7}$ of the distance from M to N.

To find: The ratio in which the point P partition the directed line segment from M to N.

If Point P is between points M and N, then the ratio can be written as

$\dfrac{MP}{MN}=\dfrac{MP}{MP+PN}$

As per given,

$\dfrac{MP}{MP+PN}=\dfrac{4}{7}\\\\\Rightarrow\ \dfrac{MP+PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{MP}{MP}+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ -1+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{7}{4}-1=\dfrac{7-4}{4}=\dfrac{3}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{3}{4}\ \ \or\ \dfrac{MP}{PN}=\dfrac{4}{3}$