<u>Answer</u>
9+√14
<u>Explanation</u>
To Rationalize the denominator of 5-√7/9-√14.
To rationalize this we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 9-√14 and its conjugate is (9+√14).
(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)
= (5-√7)(9+√14)/(9²-14)
= (45 + 5√14 - 9√7 - √98)/(81-14)
= (45 + 5√14 - 9√7 - √98)/67
= (45 + 5√14 - 9√7 - 7√2)67
This is the rationalized expression.
The denominator is (9-√14) and its conjugate is (9+√14).
Two solids are said to be similar when their corresponding sides and angles are proportional and congruent. Since the solids here are similar, we calculate as follows:
Assuming the solid is a sphere
V1/V2 = r1^3 / r2^3 = 1331/216 = 6.16203
r1/r2 = 11/6
A1/A2 = (r1/r2)^2
324/A2 = (11/6)^2
A2 = 42.84 m^2
Answer:
Slope and y intercept.
Step-by-step explanation:
This is necassary to write the equation of a line in y=mx+b
m is where the slope goes, and b is the y intercept.
Alternatively, you could also write the equation for a line with a point on the line and the slope.
You would then write it in point slope formula:
y-y1=m(x-x1)
This can later be converted into slope intercept form.
Answer:
A
Step-by-step explanation:
Answer:
0
4
15
27
Step-by-step explanation:
a) The first expression is
When a=2 and b=5, we get
b) The second expression is
We substitute a=2 and b=5;
c) The next expression is
We substitute b=5 to get:
d) The fourth expression is
When a=2 and b=5
We know that:
0<4<15<27
