Answer: 16(x + 3)
Step-by-step explanation: When you're asked to a polynomial, the first thing you want to look for is the greatest common factor between the terms that are involved.
So what is the greatest common factor of 16x and 48?
The greatest common factor of 16x and 48 is 16 because
it's the largest number that divides evenly into 16 and 48.
The x does not qualify because it must appear in every term
to qualify for the GCF but here, it only appears in one term.
So a 16 factors out leaving us with each term divided by it
inside a set of parentheses so w eget 16(x + 3).
Notice that if we distributed the 16 through both terms,
we would end up with our original polynomial.
P=1. I hope this helps. :)
Answer:
o.45
Step-by-step explanation:
any time you have a precent just put 0. infront of the number.
The value of tangent theta is equal to the negative 1. At this value the value of secant theta is
.
<h3>What is tangent theta?</h3>
The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,
![\rm tan\theta=\dfrac{sin \theta}{cos \theta}](https://tex.z-dn.net/?f=%5Crm%20tan%5Ctheta%3D%5Cdfrac%7Bsin%20%5Ctheta%7D%7Bcos%20%5Ctheta%7D)
Given information-
The value of tangent theta is equal to the negative 1.
![\tan \theta=-1](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D-1)
The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,
![\rm tan\theta=\dfrac{sin \theta}{cos \theta}](https://tex.z-dn.net/?f=%5Crm%20tan%5Ctheta%3D%5Cdfrac%7Bsin%20%5Ctheta%7D%7Bcos%20%5Ctheta%7D)
The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,
![\rm -1=\dfrac{sin \theta}{cos \theta}\\](https://tex.z-dn.net/?f=%5Crm%20-1%3D%5Cdfrac%7Bsin%20%5Ctheta%7D%7Bcos%20%5Ctheta%7D%5C%5C)
Simplify it further as,
![\rm -cos \theta=sin \theta](https://tex.z-dn.net/?f=%5Crm%20-cos%20%5Ctheta%3Dsin%20%5Ctheta)
When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of
. Which extent to the
for the cosine function.
In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,
![\rm \dfrac{1}{sec\theta}=\dfrac{\sqrt{2}}{2}\\sec\theta=\sqrt{2}](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B1%7D%7Bsec%5Ctheta%7D%3D%5Cdfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%5C%5Csec%5Ctheta%3D%5Csqrt%7B2%7D)
Thus the value of secant theta is ![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
Learn more about the tangent theta here;
brainly.com/question/29190
Original balance $1,018.00
Desk cost -$84.00
Computer cost -$372.00
Savings from job +$44.00
Current balance = $606.00
Amount to be added to get original balance:
1018 - 606
= $412.00