First you distribute the six -138>-36b+42 Then you subtract 42 -180>-36b Next, you divide by -36 and since you are dividing by a negative, you turn the sign around 5

6 0

4 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,

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

Hence, P partition the directed line segment from M to N in 4:3.

7 0

4 years ago

The equation y = 15.5x represents the number of dollars, y, Worker B earns in x hr.

ira [324]

Answer:

The correct answer is y = 20x.

Step-by-step explanation:

6 0

4 years ago