Answer:
D
Step-by-step explanation:
When the function or the coefficient in this case 1/4x^2 is positive it means it's opening up like a u, meaning all the values will be bigger than the C term or -5 in this case.
9514 1404 393
Answer:
A. 2 square feet
B. draw a diagonal; 1 square foot
Step-by-step explanation:
A. The area of a parallelogram is given by the formula ...
A = bh
Here the base (b) is 3 feet, and the height (h) is 2/3 ft. The area is ...
A = (3 ft)(2/3 ft) = 2 ft^2 . . . . area of the parallelogram
__
B. <em>Drawing a diagonal</em> (AC or BD) will divide the figure into two congruent triangles. Each triangle has the same base and height as the original parallelogram. The area of one of the triangles is given by ...
A = 1/2bh
Using the given dimensions, ...
A = 1/2(3 ft)(2/3 ft) = 1 ft^2 . . . . area of one triangle
Answer:
y = -5x - 23
Step-by-step explanation:
Write it in point - slope form:
y - 7 = -5(x + 6)
rearrange:
y - 7 = -5x - 30
y = -5x - 23
Answer:
A person can select 3 coins from a box containing 6 different coins in 120 different ways.
Step-by-step explanation:
Total choices = n = 6
no. of selections to be made = r = 3
The order of selection of coins matter so we will use permutation here.
Using the formula of Permutation:
nPr = 
We can find all possible ways arranging 'r' number of objects from a given 'n' number of choices.
Order of coin is important means that if we select 3 coins in these two orders:
--> nickel - dime - quarter
--> dime - quarter - nickel
They will count as two different cases.
Calculating the no. of ways 3 coins can be selected from 6 coins.
nPr = = 
nPr = 120
Converting all to improper fractions
31/10s = 31/5
5×31s=31×10
155s = 310
s=310/155= 2
20/9=-4/5m
5×20=-4×9m
100=-36m
m=100/-36 = 72 28/36 = 72 7/9
-14/5=-7/2n
-14×2=5×-7n
-28=-35n
n =-28/-35
n=28/35
