6. There are 30 minutes in half a hour. 30 divided by 5 = 6
Answer:
3 terms
Step-by-step explanation:
Answer: 2(n + 4) (n - 4)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula,
a^2 - b^2 = ( a + b ) ( a + b )
Answer:
x = 21 units
Step-by-step explanation:
<em>The tangent squared is equal to the secant's total length multiplied by the secant's length without the part inside the circle.</em>
So here, that will look like: <em>36² = 27 * (27 + x)</em>
Expansion and multiplication gives us: <em>1296 = 729 + 27x</em>
Subtract from both sides: <em>567 = 27x</em>
Divide from both sides: x = 21.
Answer:The second choice is the correct one
Explanation:(2x+3)^2 + 8(2x+3) + 11 = 0
To use the u substitution, we will assume that:
2x + 3 = u
Substitute with this in the given expression, we will get:
u^2 + 8u + 11 = 0
The general form of the second degree equation is:
ax^2 + bx + c = 0
Comparing the expression we reached with the general one, we will find that:
a = 1
b = 8
c = 11
The roots can be found using the rule found in the attached picture.
This means that, for the given expression:
u = -4 ± √5
Now, we have:
u = 2x+3
This means that:
at u = -4 + √5
2x + 3 = -4 + √5
2x = -7 + √5
x = (-7 + √5) / 2
at u = -4 - √5
2x + 3 = -4 - √5
2x = -7 - √5
x = (-7 - √5) / 2
This means that, for the given expression:
x = (-7 ± √5 ) / 2
Hope this helps :)