Answer:
x=-55.5
Step-by-step explanation:
Answer:
-10xsquared-x+38
Step-by-step explanation:
so,
general eqn of quadratic equation is,
axsquared+bx+c=y
where,
x and y are exchanged by coordinates given in qn
1,64a-8b+c=0
2,4a-2b+c=0
or c=2b-4a
60a-6b=0
3,36a-6b+c=8
32a-4b=8
Answer: the base is 28 inches. The altitude is 9 inches
Step-by-step explanation:
Let h represent the altitude of the sign.
Let b represent the length if the base of the sign.
The warning sign is triangular in shape.
The formula for determining the area of a triangle is expressed as
Area = 1/2bh
The base of the sign is 9 inches longer than the altitude. This means that
b = h + 9
If the area of the sign is 266 square inches, it means that
266 = 1/2 × h(h + 9)
266 × 2 = h(h + 9)
532 = h² + 9h
h² + 9h - 532 = 0
h² + 28h - 19h - 532 = 0
h(h + 28) - 19(h + 28) = 0
h(h + 28) - 19(h + 28) = 0
(h + 28)(h - 19) = 0
h = 19 or h = - 28
Since the height cannot be negative, then h = 19
b = h + 9 = 10 + 9
b = 28
Answer:
The equation that describes the amount of mass left after a time t of a radioactive isotope is the following:
where
is the mass of the sample at t = 0
is the half-life of the sample
For the element X in this problem,
We want to find the time t at which
So we need to re-arrange the equation making t the subject:
Step-by-step explanation:
Answer:
5y+11
Step-by-step explanation:
y+2y+2y+2+9
5y+11