Answer:
= 3f + 8
Step-by-step explanation:
Given that:
= 2/3[3f+12]+f
By simplifying:
2/3 will be multiplied inside the bracket as follows:
= 2/3*3f + 2/3*12 + f
By cancelling the terms with each other we get:
= 2f + 24/3 + f
By simplifying the fraction we get:
= 2f + 8 + f
Adding like terms
= 3f + 8
This is the simplified expression.
i hope it will help you!
Answer: B or the Second graph right next to the first one.
Step-by-step explanation: Graph by using a few selected points... Horizontal Asymptote - y=7.
x----------y
0 -118
Answer:
The expression for the nth term is Tn = 8n -7
Step-by-step explanation:
Here, we are to find an expression for the nth term of the sequence.
Mathematically, the nth term of an arithmetic sequence can be expressed as;
Tn = a + (n-1)d
for T2, the equation is
a + d = 9
for T4, the equation is
a + 3d = 25
we can substitute the equation of T2 into T4 but we first need to rewrite T4
a + d + 2d = 25
9 + 2d = 25
2d = 25 -9
2d = 16
d = 16/2
d = 8
now since a + d = 9
a = 9-d
a = 9-8
a = 1
So the expression for the nth term would be;
1 + (n-1)8
1 + 8n - 8
= 8n -8+1
= 8n -7
Answer:
387 km
Step-by-step explanation:
The length of AC, b can be obtained using the cosine rule ; using the cosine relation:
b² = a² + c² - 2ac CosB
b² = 250² + 185² - 2(250*185) Cos125
b² = 62500 + 34225 - 92500 * −0.573576
b² = 96725 + 53055.820
b² = 149780.82
b = sqrt(149780.82)
b = 387.01527
b = 387 km (nearest whole number)
