k-4/3= 3
Mutiply both sides by 3 .
(3)(k-4/3)= (3)(3)
Cross out 3 and 3 , divide by 3 and then becomes k-4= 9
Move -4 to the other side
Sign changes from -4 to +4
k-4+4= 9+4
k= 13
Answer: k= 13
9514 1404 393
Answer:
3 3/4
Step-by-step explanation:
Mandy needs 6 times 5/8 yards, or ...
6(5/8) = 30/8 = 3 6/8/ = 3 3/4 . . . yards
X + y = 180
x = 4y
Plug that in and you get: 4y + y = 180
5y = 180
y = 36
If you want the larger angle, simply plug in y to x = 4y
So: x = 4(36) = 144
The smaller angle is 36 degrees, and the larger angle is 144 degrees.
<u>Answer:</u>
The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.
<u>Solution:</u>
Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)
We have to find the line equation which is perpendicular to above given line and passing through the given point.
Now, let us find the slope of the given line equation.

We know that, <em>product of slopes of perpendicular lines is -1.
</em>
So, 1
slope of perpendicular line = -1
slope of perpendicular line = -1
Now let us write point slope form for our required line.

y – (-2) = -1(x – (-3))
y + 2 = -1(x + 3)
y + 2 = -x – 3
x + y + 2 + 3 = 0
x + y + 5 = 0
y = -x -5
Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.