Answer:
Step-by-step explanation:
G is the centeroid of the triangle. G splits AE in the ratio 2 : 1
AG : GE = 2 : 1
AG = 2x and GE = x
2x = 20
x = 20/2
x = 10
GE = 10 ; AG = 20
AE = 20+10 = 30
CG : GD = 2:1
CG = 2x and GD = x
2x = 10
x = 10/2
x = 5
GD = 5
BF = 30
BG : GF = 2 : 1
BG = 2x ; GF = x
BF = 30
BG + GF = 30
2x + x = 30
3x = 30
x = 30/3
x = 10
GF = 10
Answer:
D. 19
Step-by-step explanation:
x+5 has to equal half of the base(3x-9)
I tried everything else. Those answers didn't work. 3*19-9=48 and 19+5=24
48/2=24 Therefore, the answer is D, 19
Step-by-step explanation: The standard formula for geometric sequence is an = a1 * r^(n-1) where r is the geometric factor and n is an integer. In this problem, upon substitution, an = 4*2^(n-1).
P>4
t>4
r>2
for the 4th picture
1 matches with #2
2 matches with #1
4 matches with #3
3 matches with #4
for the 5th picture
3 matches with #1
2 matches with #2
4 matches with #3
1 matches with #4
Answer:
14/5
Step-by-step explanation:
That " • " signifies multiplication.
g(x) = (x + 1) / (x - 2) and h(x) = 4 - x are to be multiplied together to obtain (g·h)(x):
(x + 1)(4 - x)
(g·h)(x) = --------------------
x - 2
This could be simplified.
But our task is to evaluate this product function at x = -3. So we replace each instance of x with -3:
( -3 + 1 )( 4 - [-3] ) (-2)(7)
(g·h)(-3) = -------------------------- = ----------- = 14/5
-3 - 2 -5