The formula for the perimeter of a rectangle is P = 2L + 2W
you are given P (perimeter) and l (length.
Replace the letters withe the given information and solve for width:
76 = 2(31) +2W
Simplify:
76 = 62 + 2w
Subtract 62 from both sides:
14 = 2w
Divide both sides by 2:
W = 14/2
W = 7 cm
The width is 7 cm.
Answer:
- A: r
- B: f
- A: r
Step-by-step explanation:
1. Greater density means the sphere has more mass in the same volume. The volume of water that must be displaced to equal that increased mass must be increased, causing the water level to rise.
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2. Less mass means less water must be displaced to equal the mass of the new sphere, causing the water level to fall.
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3. More mass is the same as higher density (see 1). The water level will rise.
The percent increase in the price index from 1960 to 1970
is:
% increase in price index = (38.8 – 29.6) * 100% / 29.6
% increase in price index = 31.08%
Therefore the price of a dozen tangerines in 1970 (X) is:
31.08 = (X - $0.31) * 100 / $0.31
X =
$0.41
Answer:
(x+2)²=4(y-4)
or y=1/4 (x+2)²+4
Step-by-step explanation:
directrix y=3 and focus (-2,5) to find te equation of parabola we use the equation :
(x-h)²=4p(y-k)
vertex(h,k) : the vertex is half way between the focus and the directrix
y(vertex)=y(focus)+directrix/2
y=5+3/2 ⇒8/2=4
x is the same as the c of the focus =-2
vertex (-2,4)
to find the distance (p) which is the distance between the vertex and focus
p=5-4=1
substitute h=(-2), k=(4) and p=(1) in the equation : (x-h)²=4p(y-k)
(x-(-2)²=4(1)(y-4)
(x+2)²=4(y-4)
