Factor the polynomial completely 4x^3-8x^2+3x-6
1 answer:
You might be interested in
Assuming x represents the length of the first side.
Use pythagorean theorem to solve:
<span>a^2</span> + <span>b^2</span> = <span>c^2</span>
<span>x^2</span> + <span><span>(x+7)^</span>2</span> = <span>13^2</span>
<span>x^2</span> + <span><span>x^2</span>+14x+49</span> = 169
<span>2<span>x^2</span></span> + 14x - 120 = 0
Solve the quadratic equation using the quadratic formula.
At the end, you will get side lengths of #(-14 ± 34) / 4, or -12 and 5
SInce a negative triangle length is impossible, 5 is the value of x and 5 + 7 is the value of x + 7, which makes 12.
The formula for area of a right triangle is A = <span>b<span>h/2</span></span>
A = <span><span>b<span>(h)</span></span>2</span>
A= <span><span>12<span>(5)</span></span>2</span>
A = <span>30c<span>m^<span>2</span></span></span>
Answer:
a)
H - H - H
H - H - T
H - T - H
H - T - T
T - H - H
T - H - T
T - T - H
T - T - T
b)
0.125 = 12.5% probability that all three coins come up heads.
0.875 = 87.5% probability that there will be at least one tail.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Question a:
Considering H for heads, T for tails:
H - H - H
H - H - T
H - T - H
H - T - T
T - H - H
T - H - T
T - T - H
T - T - T
(b) What is the probability that all three coins come up heads?
One outcome(H - H - H) out of 8, so:
0.125 = 12.5% probability that all three coins come up heads.
Notice that the complement of the event "3 heads" is "at least one tail." Use this information to compute the probability that there will be at least one tail.
Sum of these probabilities is 100%, so:
1 - 0.125 = 0.875
0.875 = 87.5% probability that there will be at least one tail.