Answer:

Step-by-step explanation:
We need to first simplify the expression using rationalization(i.e. if a square root term exists in the denominator, then multiply and divide the whole expression by the denominator(but the change the sign of its middle term))
here, we need to find:

first we'll rationalize our expression:





this is our simplified expression, now we can apply our limits:




the limit does exists and it is 2.
Answer:
<h2> V = 28 mm³ </h2>
Step-by-step explanation:
Base is right triangle, so:
B = ¹/₂•4•6 = 12 mm²
H = 7 mm
V = ¹/₃•B•H
V = ¹/₃•12•7 = 4•7 = 28 mm³
In below formula for arithmetic sequence you can fill in a=7 (start), d=2 (interval) and n=35 (nr terms) and you get
17.5(14 + 34*2) = 1435
Confirmed by a brute-force addition: 7+9+11+13+15+17+19+21+23+25+27+29+31+33+35+37+39+41+43+45+47+49+51+53+55+57+59+61+63+65+67+69+71+73+75=1435
Step-by-step explanation:
1. x^2 + 10x + 25
2. x^2 - 25
.........
Answer:
x is 71
Step-by-step explanation:
X + 72 + 37 = 180 ( Sum of angles in a triangle)
X = 180 - 72 - 37
X = 71