Answer:
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
The product of the gradients of perpendicular lines is -1.
Gradient of given line= 3.
(Gradient of line)(3)= -1
3m= -1
m= 
subst. m= into the equation:
To find the value of c, substitute a coordinate.
When x=0, y=4,
Thus the equation of the line is 
.
Step-by-step explanation:
18. y-(-2) = -6(x-2)
y+2 = -6x+12
y = -6x+12-2
y = -6x+10
19. y-(-4) = -½(x-4)
y+4 = -½x+2
y = -½x+2-4
y = -½x-2
Line segment of length k is divided into 3 equal parts.
so first segment is 0-k/3 and third segment is 2/3k-k
so mid-pt of 1st = k/6 and 3rd = 5/6k
so the distance in between = 5/6k-k/6 = 4/6k = 2/3k
Step-by-step explanation:
You're given that ΔUVW is similar to ΔYZW. The tricky part is identifying which sides in ΔUVW correspond to which sides in ΔYZW.
The triangles share point W, so visually rotate one triangle around W until the two triangles align. That way, you can see that UW and ZW correspond to each other, and VW and YW correspond to each other.
Now you can find the scale:
VW / YW = 5/12
And you can write a proportion to find x:
UW / ZW = VW / YW
x / 64 = 5 / 12
x = 26 ⅔
Answer:
44
Step-by-step explanation:
1/2(n + 6) < 25 Distribute
1/2n + 3 < 25
- 3 - 3 Subtract 3 from both sides
1/2n < 22 Multiply both sides by 2 or divide by 1/2
n < 44
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