Write the equation of a line perpendicular to the line: y=−5/2x+4 that goes through the point (-6, 0).

Mathematics

1 answer:

NikAS [45]2 years ago

3 0

Step-by-step explanation:

the line given slope = x coefficient = -5/2

Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1

new slope = 2/5

line equation formula = y = mx+ b

m = slope

y= 2/5x + b

from the point given (-6,0)

x = -6

y = 0

0= -12/5 + b

b = +12/5

line equation =

$y = \frac{2}{5} x + \frac{12}{5}$

You might be interested in

A container holds a combination of nickels and quarters. There are 156 coins in all, and their total value is $21.60. The system

Tatiana [17]

X+y=156
0.05x+0.25y=21.6

-1/4*/ x+y=156
1/20x+1/4y=216/10

-1/4x-1/4y=156*-1/4=-39

1/20x+1/4y=216/10
+--------------------------
-4/20x=-17,4

x=87

x+y=156

87+y=156 y=69

this question answer is 87 nickels and 69 quarters

3 0

3 years ago

The data below represents the number of hours a group of students volunteered at a local soup kitchen.

irina [24]

Answer:god

Step-by-st

8 0

2 years ago

Can somebody help me ??

fiasKO [112]

Answer: C

Step-by-step explanation:

$Formula: V=\pi r^2h$

We do not have the radius, but we do have the diameter. A diameter is twice the radius, therefore we can divide the diameter by 2 in order to obtain the radius.

$\frac{d}{2}=\frac{12}{2} =6$