Answer:
The area of DBE = 27 square units
Step-by-step explanation:
Area of ABC = 3 square units
In the figure, we can see that ABC was enlarged so that BDE is formed where side BD = 6 and AB was = 2
Hence ABC was enlarged 3 times its size.
We know by formula that:
Area of ABC = 1/2(base x perpendicular)
3 = 1/2(2 x p)
=> p = 3
As ABC was enlarged 3 times its size, the perpendicular of BDE must be 3*p
= 3*3 = 9
AREA OF DBE = 1/2(base*perp)
= 1/2(6*9)
= 27 square units
Answer: y+3 = 4( x + 1)
Step-by-step explanation:
The equation in point slope form is given as :
y - 
= m ( x - 
) , where m is the slope
slope = 4
point given : (-1,-3)
Using the formula :
y - = m ( x - )
and substituting the value , we have
y - (-3) = 4 (x -{-1} )
y+3 = 4( x + 1)
Answer:
180°
Step-by-step explanation:
∠LMN = 90° and is the angle in a semicircle, thus
LN is the diameter of the circle and the measure of arc LPN is
m arc LPN = 180°
Answer:
A. x < 6 and x > - 28
Step-by-step explanation:
We have been given the following inequality;
| x+11 | < 17
We can replace the absolute value function by re-writing the inequality as;
-17< x+11<17
subtract 11 from both sides;
-17-11<x+11-11<17-11
-28<x<6
splitting this we have;
x<6
x>-28
