$\begin{gathered} 5sec(x)cot(x)+5sec(x)+cot(x)+1=0 \\ Factoring \\ (cot(x)+1)(5sec(x)+1)=0 \\ cot(x)+1=0 \\ cot(x)=-1 \\ x=cot^{-1}(1) \\ x=\frac{3\pi}{4} \\ \\ 5sec(x)+1=0 \\ 5sec(x)=-1 \\ sec(x)=\frac{-1}{5},\text{ there is no solution} \\ Hence \\ All\text{ solution are }\frac{3\pi}{4}+\pi n,\text{ where n=1,2,3...} \\ \\ \end{gathered}$

5 0

1 year ago

in triangle ABC shown below, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. Find the perimeter o

alexdok [17]

since m and n are the midpoints of ab and ac resistively

then ,bc=2mn=16

since m and l are the midpoints of ba and bc respectively

then, ac =2mn =10

then,nc =1/2 × 10 =5

similary, mb=6

then ,perimeter=nc+mb+mn+bc=5+6+8+16=35

6 0

3 years ago

M is between L and N. LM = 7x-1, MN = 2x +4, and LN = 12. find the value of ‘x’ an determine if M is a bisector.

Sholpan [36]

LM + MN = LN

7x - 1 + 2x + 4 = 12

9x + 3 = 12

9x = 12 - 3

9x = 9

x = 9/9

x = 1

7 0

3 years ago

It took 35 seconds for 5 songs to download to Rebecca’s computer. The next day, it took 42 seconds for 6 songs to download. Writ

sleet_krkn [62]

The equation in point-slope form to represent the time y it took to download x songs is; (y - 35) = 7(x - 5)

Since it took 35 seconds for 5 songs to download

and it took 42 seconds for 6 songs to download

In essence, we can represent the information as;

(5, 35) and (6,42)

To find the slope of the equation; we have;

Slope, m = (42-35)/(6-5)

m = 7

In essence, the equation in point-slope form to represent the time y it took to download x songs is;

(y - 35) = 7(x - 5)

brainly.com/question/6497976

3 0

3 years ago