Answer:
Step-by-step explanation:
r²+8r=−7
Step 1: Subtract -7 from both sides.
r²+8r−(−7)=−7−(−7)
r²+8r+7=0
Step 2: Use quadratic formula with a=1, b=8, c=7.
r=

Answer:
15.08 m
Step-by-step explanation:
The angle XZW :
XZW + 108° = 180°
XZW = 180° - 108°
XZW = 72°
Length of an arc = θ / 360 * πd
d = diameter = XV = 24
Length of arc XW = (72/360) * π * 24
Length of arc XW = 15.0796
Length of XW = 15.08 m
Answer:
Perimeter of the parallelogram = 26.64 units
Step-by-step explanation:
The perimeter of parallelogram = 2(a + b)
Here a = KJ = 7 units.
b = HK
We need to find the HK using the distance formula.
Distance formula = 
H = (-4, 3) and k = (-2, -3)
Now plug in x1 = -4, y1 =3, x2 = -2, y2 = -3 in the distance formula
HK = 
= 
= 
= 
HK = b = 6.32 units
Now plug in a = 7 and b = 6.32 in the perimeter formula, we get
Perimeter = 2(7 + 6.32)
= 2(13.32)
= 26.64 units
Thank you.