First, you need to set the equation equal to zero:
n^2 + 7n + 10 = 0
Now we factor. We need to find two numbers that add up to 7 and multiply to 10.
2 + 5 = 7
2 * 5 = 10
Now, we just need to write this as a polynomial:
(n + 2) (n + 5)
is our answer.
Hope this helps!
Answer:
£807.84
Step-by-step explanation:
Cost of Collins car insurance per year = £766.45
Percentage increase in price = 5.4%
How much does the insurance cost now?
Cost of the insurance now = £766.45 + 5.4% of £766.45
= 766.45 + 5.4/100(766.45)
= 766.45 + 0.054(766.45)
= 766.45 + 41.3883
= 807.8383
Cost of the insurance now = £807.84
Answer:
The answer for the first equation is,
B. 11
The answer for the second equation is,
D.none of these.
Step-by-step explanation:
II will be the 90° clockwise rotation,
III will be the translation
IV will be the 180° rotation
V will be the 90° counter clockwise rotation
Pi/4 radians
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
sqrt(2) = 1/x
x*sqrt(2) = 1
x = 1/sqrt(2)
Let's multiply both numerator and denominator by sqrt(2), so
x = sqrt(2)/2
And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
45 * (2*pi)/360 = 90*pi/360 = pi/4
So your answer is pi/4 radians.
