P=10
Explanation
2p+p+90+100+140=360
3p+330=360
-330. -330
3p=30
P=10
Answer:
<em>x = 1 + ( √ 10 )/ 2, or x = 1 - ( √ 10 )/ 2; Option A</em>
Step-by-step explanation:
See steps below;
I would prefer answering this question by completing the square, rather than applying a quadratic formula;
3x^2 - 6x - 12 = 0, ⇒ Add 12 to either side,
3x^2 - 6x = 12, ⇒ Divide either side by 3,
x^2 - 2x = 4, ⇒ Write the equation in the form x^2 + 2ax + a^2 = (x + a)^2,
x^2 - 2ax + a^2 = 4 + a^2, ⇒ Solve for a
2ax = -2x,
a = - 1, ⇒ Substitute value of a,
x^2 - 2x + 1 = 4 + 1,
( x - 1 )^2 = 5, ⇒ Solve for x,
x = √5 + 1, and x = - √5 + 1,
In other words; <em>Solution : x = 1 + ( √ 10 )/ 2, or x = 1 - ( √ 10 )/ 2; Option A</em>
Answer: The kinetic energy of Derek's bike is 384.
To find the kinetic energy of an object, we need to know the mass and the velocity of the object. Both of those are already given in the problem. So we can simply use the formula.
The formula for kinetic energy is KE =0.5(m)v^2. All we need to do is input the know variables and evaluate.
KE = 0.5 (12) (8^2)
KE = 0.5(12)(64)
KE = 384
White paint is $17.50 per gallon so 3 1/2 gallons would be
17.50 * 3.5 = 61.25
And then blue paint is $19 per gallon so 1 3/4 gallons would be
19 * 1.75 = 33.25
Now add
61.25 + 33.25 = 94.5
The total cost would be $94.50
Answer:
do your self it is easy
Step-by-step explanation:
do your self it is easy
