ANSWER
EXPLANATION
The diagram represents the net of a rectangular prism.
The dimensions are,
and
The total surface area of a rectangular prism is given by:
We substitute the values to obtain,
Answer:
x= -3
x= -5
Step-by-step explanation:
x^2 + 8x + 15 = 0
find which 2 numbers when multiplied equal 15 and when added equal 8
they are 3 and 5
(x+3)(x+5)
x+3 =0
x+5=0
x= -3
x= -5
Number of calories consumed on Monday = 2161
Number of Calories consumed on Tuesday = 2378
Number of Calories consumed on Wednesday = 1841
Daily average intake is 2200
Let calories intake on Thursday be X
Now ,
Average = sum of total calories/ number of calories
=> 2200 = 2161+2378+1841+X/4
=> 2200 x 4 = 6377 + X
=> 8800 = 6377 + X
=> X = 8800-6377
=> X = 2423
So Samuel must consume 2423 calories on Thursday
Answer:
Net Change in Geno's Field Position = 22 yards
Step-by-step explanation:
Assuming Geno initial position before change is 0
Geno Gained 4 yards three times = 4*3 = 12yards
Geno lose 1 yard twice = 1*(-2) = -2yards
Geno Gained 6 yards twice = 6*2 = 12yards
Net Change in Geno's Field Position = 12 + (-2) + 12 yards
= 22 yards
Answer:
x = -1
Step-by-step explanation:
Solve for x:
12 = 24 - 4 (-6 x - 3)
-4 (-6 x - 3) = 24 x + 12:
12 = 24 x + 12 + 24
Grouping like terms, 24 x + 12 + 24 = 24 x + (12 + 24):
12 = 24 x + (12 + 24)
12 + 24 = 36:
12 = 24 x + 36
12 = 24 x + 36 is equivalent to 24 x + 36 = 12:
24 x + 36 = 12
Subtract 36 from both sides:
24 x + (36 - 36) = 12 - 36
36 - 36 = 0:
24 x = 12 - 36
12 - 36 = -24:
24 x = -24
Divide both sides of 24 x = -24 by 24:
(24 x)/24 = (-24)/24
24/24 = 1:
x = (-24)/24
The gcd of -24 and 24 is 24, so (-24)/24 = (24 (-1))/(24×1) = 24/24×-1 = -1:
Answer: x = -1
