Answer:
m = -1
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
Therefore,
slope = (-12-(-9))/(-6-(-9))
= -3/3
=-1
The diagram can be redrawn as,
The value of x and y can be determined as,
![\begin{gathered} \tan C=\frac{AB}{BC} \\ \tan 45^{\circ}=\frac{x}{7\sqrt[]{2}} \\ x=7\sqrt[]{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctan%20C%3D%5Cfrac%7BAB%7D%7BBC%7D%20%5C%5C%20%5Ctan%2045%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bx%7D%7B7%5Csqrt%5B%5D%7B2%7D%7D%20%5C%5C%20x%3D7%5Csqrt%5B%5D%7B2%7D%20%5Cend%7Bgathered%7D)
![\begin{gathered} \cos C=\frac{BC}{AC} \\ \cos 45^{\circ}=\frac{7\sqrt[]{2}}{y} \\ y=14 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ccos%20C%3D%5Cfrac%7BBC%7D%7BAC%7D%20%5C%5C%20%5Ccos%2045%5E%7B%5Ccirc%7D%3D%5Cfrac%7B7%5Csqrt%5B%5D%7B2%7D%7D%7By%7D%20%5C%5C%20y%3D14%20%5Cend%7Bgathered%7D)
Thus, option (D) is the correct solution.
Hello,
I have just answered the question
gravity on earth :g=9.81 m/s²

9.81/2≈4.9


Answer 1
2)
h(t)=-4.9*t²+20*t+10
To hit the ground ht(t)=0
==> -4.9*t²+20*t+10=0
Δ=20²+4*4*10=560=23,6643...²
t=(-20-4√35)/(-4.9*2)=4,4555...(s)
t=(-20+4√35)/(-2*4.9)=-0,37391... to exclude (time must be >0)
Answer:
Peggi put a total of 18 hair bows in the bag
Step-by-step explanation: There at six bags with an unknown amount of hairbows in each bag. You add 2 to each bag and you will end up getting 12 hairbows from her sister because 6x2=12. then you subtract the total (30) from her sister Toris amount (30-12) this equals 18.
Answer:
now we have to follow up with the formula n² - n¹
which is 7-1= 6
n³-n²
which is 13-7=6
so therefore the nth term=6