Answer:
Alrighty! So this is what we know:
Slope (m) = (-4)
Co-ordinate (0,3)
Co-ordinate 2 (6,t)
t = ?
Let's find our equation...
y=mx+b <-- just plug what we know in...
3=(-4)0+b
3=0+b
b=3
We just found b! woohoo
Now what is t? t is a value we need to know WHICH IS the y value of a co-ordinate that corresponds to when x is 6, as we know a co-ordinate is expressed as --> (x value, y value).
SO-
t=y
plug it in our equation...
y=mx+b
t=(-4)x+3
t=(-4)(6)+3
t=(-24)+3
t=(-21)
SOOOOOOOO WE HAVE OUR T!! just write a therefore statement like "therefore the value of t is -21." and you're set! hope this helped, any questions? ask in the comment section. :)
Step-by-step explanation:
Answer:
The number is -1/2
Step-by-step explanation:
Let x be the number
2x+8 = 7
Subtract 8 from each side
2x+8-8 = 7-8
2x = -1
Divide each side by 2
2x/2 =-1/2
x = -1/2
The number is -1/2
Answer:
Step-by-step explanation:
Isolate the parts of the equation with the x variable
When you divide or multiply by a negative number in inequalities, you must flip the sign of the inequality.
Answer:
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 hope it help jk dont do this i have no clue
Step-by-step explanation:
10000000000000o0000000000000000000000000000000000000000ooooooooooooooooooooooooooo0000oooo00o0o0o0oo00oooooooo0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ooooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
