Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
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Factor completely and then place the factors in the proper location on the grid.
4n^2 +28n +49

Step-by-step explanation:

Given the equation 4n^2 +28n +49, to get the factors of the equation, we need to factorize the equation completely as shown;

= 4n² +28n +49

Using the general formula n = -b±√b²-4ac/2a

from the equation: a = 4, b = 28 and c = 49

n =  -b±√b²-4ac/2a

n = -28±√28²-4(4)(49)/2(4)

n =  -28±√784-784/8

n = -28±√0/8

n = -28/8

n = -7/2

The factor of the given function is -7/2

mnkjn

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west