Multiply (3a + 5)2A9a2 + 30a + 25B 25a2 + 15a + 9C a2 + 3a + 25D 5a2 + 15a + 9
1 answer:
You might be interested in
Answer:
y = 3x + 2
Step-by-step explanation:
So we can use the point-slope equation to help us figure out our y = mx +b equation
First we need to choose two points on the graph so we can calculate our slope
I personally like to choose point that intersects two numbers perfectly on the line rather than a point that is maybe half way between two numbers
So we can use the point (0,2) and the point (2,8)
Our (0,2) will represent (x₁, y₁) and our (2,8) will represent (x₂,y₂)
The equation to find the slope is , so plugging in our values, we get
We have found our slope, 3, and now we can use the point-slope equation: y - y₁ = m(x - x₁) to figure out the remainder of the equation.
Plugging in our values we get: y - (2) = (3)(x - (0)) which simplifies to y - 2 = 3x which then simplifies to y = 3x + 2
9514 1404 393
Answer:
D.
Step-by-step explanation:
The wording "when x is an appropriate value" is irrelevant to this question. That phrase should be ignored. (You may want to report this to your teacher.)
When you look at the answer choices, you see that all of them are negative except the last one (D). When you look at the problem fraction, you see that it is positive.
The only reasonable choice is D.
__
Your calculator can check this for you.
√12/(√3 +3) ≈ 3.4641/(1.7321 +3)
= 3.4641/4.7321 ≈ 0.7321 = -1 +√3
__
If you want to "rationalize the denominator", then multiply numerator and denominator by the conjugate of the denominator. The conjugate is formed by switching the sign between terms.
_____
<em>Additional comment</em>
We "rationalize the denominator" in this way to take advantage of the relation ...
(a -b)(a +b) = a² -b²
Using this gets rid of the irrational root in the denominator, hence "rationalizes" the denominator.
We could also have multiplied by (3 -√3)/(3 -√3). This would have made the denominator positive, instead of negative. However, I chose to use (√3 -3) so you could see that all we did was change the sign from (√3 +3).
Answer:
perimeter =
Step-by-step explanation:
perimeter
- = 2 × pi × radius
- = diameter × pie ( 2 × radius )
- = 23 × pi
=