Solve for p... -5(p + 3/5) = -4

Mathematics

1 answer:

Alla [95]3 years ago

7 0

Step-by-step explanation:

-5(p + 3/5 ) = -4

-5p - 3/5 *5 = -4

-5p - 3 = - 4

-5p = -4 +3

-5p = -1

therefore p = 1/ 5

You might be interested in

Find the unit vector in the direction of (4,-4). Write your answer in component form. Do not approximate any numbers in your ans

aniked [119]

Answer:

$(\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )$

Step-by-step explanation:

The unit vector for a nonzero vector, say u, in the direction of u is given by:

û = $\frac{u}{|u|}$ ---------------(i)

Where;

|u| = magnitude of vector u

From the question;

u = (4, -4)

First let's calculate the magnitude of u as follows;

|u| = $\sqrt{(4)^2 + (-4)^2}$

|u| = $\sqrt{16 + 16}$

|u| = $\sqrt{32}$ = $4\sqrt{2}$

Now, substitute u and |u| into equation (i) as follows;

û = $\frac{(4, -4)}{4\sqrt{2} }$

û = $(\frac{4}{4\sqrt{2} }, \frac{-4}{4\sqrt{2} } )$

û = $(\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )$

Therefore, the unit vector is $(\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} } )$

7 0

3 years ago

Solve (6-5x)/10-(2x+1)/5+x/3=2x/15

Ulleksa [173]

Multiply2 * x/15 to 2x/15

multiply both sides by 30 which is the LCM of 10, 5, 3, and 15

expand it

simplify 18 - 15x - 12x - 6 + 10x to 12 - 17x

add 17x to both sides

add 4x + 17x to = 21x

divide both sides by 21

simplify 12/21 to 4/7

now simplify

Answer: x = 4/7.

3 0

2 years ago

Complete the slope-intercept form of the linear equation that represents the relationship in the table.

nevsk [136]

According to the given table, the slope-intercept equation of the line is given by:

$y = -2x + 1$