X = 3
and
formula -
(y-y1)/(x-x1) = (y2-y1)/(x2-x1)
(x1,y1) = (4,1)
(x2,y2) =( 5,3)
(y-1)/(x-4) = (3-1)/(5-4)
y-1/x-4 = 2/1
y-1 = 2x - 8
y = 2x - 7
the solution will be x= 3 and y = -1
Answer:
71°
Step-by-step explanation:
The triangle shown is an isosceles triangle. Isosceles triangles have two equal sides and two equal angles. When all 3 angles are added, it should have a sum of 180°. The tip of the triangle is the part of the triangle with the smallest degree/angle. So the two remaining angles are the same amount.
180°=38°+x+?
180°=38°+71°+71°
Both missing angles are the same degree, and when both are added to 38, it has a sum of 180. x is equal to 71°.
Answer:
After two seconds
h(2) = -16(2^2) + 115(2) + 19
h(2) = -64 + 115(2) +19
h(2) = 185
Let me know if this helps!
Answer:
the question is incomplete, so I looked for a similar one:
<em>After the release of radioactive material into the atmosphere from a nuclear power plant, the hay was contaminated by iodine 131 ( half-life, 8 days). If it is all right to feed the hay to cows when 10% of the iodine 131 remains, how long did the farmers need to wait to use this hay? </em>
iodine's half life (we are given x, we need to find b):
0.5A₀ = A₀eᵇˣ
x = 8 days
we eliminate A₀ from both sides
0.5 = eᵇ⁸
ln 0.5 = ln eᵇ⁸
-0.69315 = b8
b = -0.69315 / 8 = -0.08664
since the farmers need to wait until only 10% of the iodine remains (we already calculated b, now we need to find x):
0.1A₀ = A₀eᵇˣ
0.1 = eᵇˣ
ln 0.1 = bx
where b = -0.08664
x = ln 0.1 / -0.08664 = -2.302585 / -0.08664 = 26.58 days
The y-intercept would be (0, 13)