Answer: 5in
Step-by-step explanation:
1/3x8/8=8/24
1/8x3/3=3/24
8-3=5
4.2.
If the 2 inch side was scaled to 10.5 inches the 5 inch side would be scaled by 10.5/2 = 5.25, so would be 25.125 inches which is too big.
So the 10.5 inches is the 5 inch side on the original, and so it 10.5/5 = 2.1 times bigger.
Therefore the smaller side would be 2*2.1/= 4.2 inches.
Answer:
Step-by-step explanation:
In the arithmetic sequence \(t_1\), \(t_2\), \(t_3\), ..., \(t_n\), \(t_1=23\) and \(t_n= t_{n-1} - 3\) for each n > 1. What is the value of n when \(t_n = -4\)?
A. -1
B. 7
C. 10
D. 14
E. 20
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E.
MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730
<span>83 – 2m = 8 + 3m
-2m -3m =</span><span> 8 - 83
-5m =</span> -<span>75
m = 15
so value of m = 15 makes the statement is true</span>
Perfect square trinomial is like
(x+4)^2=x^2+8x+16
they are represented as such
ax^2+bx+c
so to solve for b you do
(√c) times 2=b so
c=9/4
square root=3/2 because 3/2 times 3/2=9/4
(√(9/4)) times 2=(3/2) times 2=6/2=3
so b=3
x^2+3x+(9/4)
if factored, it gives
(x+(3/2))(x+(3/2)) or
(x-(3/2))(x-(3/2))
if this equation is equal to 0 then x=-3/2 or 3/2
the value is 3
