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inysia [295]
2 years ago
5

Which equation represents a line which is parallel to the line X + 6y = -24?

Mathematics
1 answer:
horrorfan [7]2 years ago
7 0

Answer:

y = -(1/6)x - 6

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope

b is the y-intercept

---------------------------

x + 6y = -24

Subtract x from both sides

6y = -x  - 24

Divide both sides by 6

y = -(1/6)x - 4

slope = -1/6

-----------------------------

Parallel lines have the same slope

therefor the parallel line is

y = -(1/6)x - 6

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(2, –2), slope is 1.4
DaniilM [7]

y = 1.4x - 4.8

the equation of a line in ' slope - intercept form ' is

y = mx + c  ( m is the slope and c the y- intercept )

the partial equation is y = 1.4x + c

to find c, substitute (2, - 2) into the partial equation

- 2 = 2.8 + c ⇒ c = - 2 - 2.8 = - 4.8

y = 1.4x - 4.8 is the equation in slope- intercept form


7 0
3 years ago
for v= 4i - 5j, find unit vector u in the direction of v, and write your answer as a linear combination of the standard unit vec
umka21 [38]

Answer:

a. u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}

Step-by-step explanation:

The given vector is v= 4i - 5j

The magnitude of this vector is;

|v|=\sqrt{(-4)^2+(-5)^2}

|v|=\sqrt{16+25}

|v|=\sqrt{41}

The unit vector u in the direction of v is;

u=\frac{v}{|v|}

u=\frac{4i - 5j}{\sqrt{41}}

u=\frac{4i }{\sqrt{41}}-\frac{5j}{\sqrt{41}}

We rationalize to get

u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}

4 0
3 years ago
Read 2 more answers
On a certain road map, the scale is 1 inch = 12 miles. Aurora Springs and Glendale are 4 inches apart on the map. What is the ac
AleksAgata [21]
Aurora Springs and Glendale are 48 miles apart. You would take how much one inch is and multiply it by 4 to get how much 4 inches is. so 12*4=48
6 0
3 years ago
Jonathan's preschool class has 9 girls and 6 boys. Which proportion can be used to determine the percent, P, of boys in class?
dimulka [17.4K]

Answer:

B

Step-by-step explanation:

you are comparing percent to percent and total boys to total class.

7 0
3 years ago
Read 2 more answers
What is the slope of a line perpendicular to line 6x + 3y = 15
NISA [10]

Step-by-step explanation:

Given line is 6x+3y=15

Slope of the given line (m)=-x/y

=-6/3

=-2

let slope of the line perpendicular to the given line be m'.

Condition of perpendicularity,

m×m'=-1

-2×m'=-1

m'=-1/-2

m'=1/2

8 0
3 years ago
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