Answer:
D. 30.5
Step-by-step explanation:
Given that A, B, C, D, and E are collinear,
AE = 38,
BD = 15, since segment BC = CD = DE, therefore
BD = ⅔ of BE
15 = ⅔*BE (substitution)
Solve for BE
Multiply each side by 3
15*3 = ⅔*BE*3
45 = 2*BE
Divide both sides by 2
45/2 = BE
22.5 = BE
BE = 22.5
Find AB:
AB + BE = AE (segment addition postulate)
AB + 22.5 = 38 (Substitution)
AB = 38 - 22.5 (Subtracting 22.5 from each side)
AB = 15.5
Find length of segment AD:
AB + BD = AD (segment addition postulate)
15.5 + 15 = AD (Substitution)
30.5 = AD
AD = 30.5
Answer:
It is inverted and shifted down 3 units.
Red is f(x) = x^2
Purple is f(x) = -x^2 -3
Step-by-step explanation:
The equation of the line is 
Explanation:
The given equation is 
<u>Slope:</u>
Since, the equation of the line is perpendicular to the equation
, then, the slope is given by

Hence, the slope is 
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,

Substituting the point (-2,3) and the slope
, in the above formula, we get,

Simplifying, we get,



Therefore, the equation of the line is 
Answer: 4 years
Step-by-step explanation:
Your question isn't complete but I believe that you want to calculate the number of years. This will be:
Simple Interest = PRT/100
where,
Interest = 864 - 800 = 64
Principal = 800
Rate = 2%
Therefore, 64 = 800 × 2 × T /100
Cross multiply
64 × 100 = 1600T
6400 = 1600T
T = 6400/1600
T = 4
Therefore, time will be 4 years
3W+6R=210
For R:25
3W+6(25)=210
3W=150=210
3W=60
W=30