Vì tam giác ABC cân tại A (gt) mà AM là đg trung tuyến nên AM đồng thời là đg cao của t/giác đó:
AM là trung tuyến của t/giác ABC nên M là trung điểm BC:
=> BM =BC/2 =6:2=3(cm)
Xét tam giác AMB vuông tại M
AB^2 =AM^2+BM^2 ( theo định lý Py-ta -go)
To find the inverse of a function switch the place of y (aka f(x) ) with x. Then solve for y.
Original equation:
y = 2x + 17
Switched:
x = 2y + 17
Solve for y by isolating it:
x - 17 = 2y + 17 - 17
x - 17 = 2y
(x - 17)/2 = 2y/2
Hope this helped!
~Just a girl in love with Shawn Mendes
88.6 as a mixed number is 14 2/3
First subtract the constant to the other side to simplify it for now
y-5=-x^2+6x
Then pull out a common factor so the coefficient is x^2
y-5=-1(x^2-6x)
Next you take 1/2 of the b value (-6) and square it to find your c value
[1/2(-6)]^2=9
After that plug 9 into your equation as your c value
y-5=-1(x^2-6x+9)
Adding the C-value (9) causes the equations to become unbalanced so you need to balance them back out by minus 9 to the other side
y-14=-1(x^2-6x+9)
Now you want to simplify the equation on the right side.
y-14=-1(x-3)^2
Finally you want to add the constant back to the right side.
y=-1(x-3)^2+14 <——— vertex form
maximum=(3,14)
Answer:
CAB = 54
ABC = 21
ACB = 105
DCB = 75
Step-by-step explanation:
18x - 15 = (13x - 11) + (4x + 1)
18x - 15 = 17x - 10
x = 5
CAB = 13x - 11 = 13(5) - 11 = 65 - 11 = 54
ABC = 4x + 1 = 4(5) + 1 = 20 + 1 = 21
ACB = 180 - (CAB + ABC) = 180 - (54 + 21) = 180 - 75 = 105
DCB = 180 - ACB = 180 - 105 = 75
