Answer:

Step-by-step explanation:
Look at the picture.
Use the Pythagorean theorem for calculate the length of CA:

We have

Substitute:

subtract 100 from both sides

ΔADC and ΔACB are similar. Therefore the corresponding sides are in proportion:

We have:

Substitute:

cross multiply
divide both sides by 5

If you mean the length of segment CD, then use the proportion:

Substitute:

9514 1404 393
Answer:
305,645 base 10
1124755 base 8
Step-by-step explanation:
In expanded form, the number is ...
4×16^4 +10×16^3 +9×16^2 +14×16^1 +13
= (((4×16 +10)×16 +9)×16 +14)×16 +13 = ((74×16 +9)×16 +14)×16 +13
= (1193×16 +14)×16 +13 = 19102×16 +13 = 305,645 base 10
_____
If you want to convert this to base 8, that is easily done by writing the binary equivalents of the hex digits, then regrouping them by 3s.
4A9ED₁₆ = 0100 1010 1001 1110 1101₂ = 01 001 010 100 111 101 101₂
= 1124755₈
The question seems incomplete but that could just be my perception.
The slope of y = -4x is -4 as it's the value just in front of the x value. This equation is in the form y = mx+b where m = -4 and b = 0. The m is the slope.
Anything parallel to y = -4x will also have a slope of -4. Parallel lines have equal slopes (but different y intercepts)
Anything perpendicular to y = -4x will have a slope of 1/4. Notice how multiplying the original slope (-4) and the perpendicular slope (1/4) gets you -1. To go from -4 to 1/4, we flip the fraction and the sign. Think of -4 as -4/1 to flip the fraction to -1/4 and then flip the sign to +1/4 or just 1/4.