How does kinetic energy affect the stopping distance of a small vehicle compared to a large vehicle

Answers

Answer 1

Answer: Kinetic energy is the energy of a moving body. Body with greater kinetic energy stops slower than a body with less kinetic energy.

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Add the following fractions.3/8 + 5/12 =

Answers

3/8 × 3/3 = 9/24 5/12 × 2/2 = 10/24 + 9/24 = 19/24

$(3)/(8) + (5)/(12) \n \n = (36 + 40)/(96) = (76)/(96) \n \n = 1.79167$

A and B start from the same point and travel west and north, respectively. A travels 3 miles per hour faster than B. At the end of two hours, they are 30 miles apart. Find their distances.

Answers

Answer:

Step-by-step explanation:

I believe you're actually looking for their respective rates. If A travels directly west and B travels directly north, and the distance between them is 30 miles, what we have is a right triangle situation. The hypotenuse of the triangle is 30. If the distance an object travels at a certain rate for given time is d = rt, then for B, our formula for distance is d = 2r (since the time each traveled is 2 hours). A traveled 3 miles per hour faster, so the formula for distance for A is d = (r + 3)2. Again, each traveled for 2 hours, so t = 2. Distributing we get that d = 2r + 6. Now that we have each expression for A and B, we use them in Pythagorean's Theorem to find the only unknown we have which is r. That's why I said in the beginning that I believe what you're actually looking for is the rate that each traveled. Our equation is:

$30^2=(2r+6)^2+(2r)^2$ and

$900=4r^2+24r+36+4r^2$ and

$900=8r^2+24r+36$

Putting everything on one side and setting the quadratic equal to 0 to factor, we get

$8r^2+24r-864=0$

You can factor out an 8 to make the numbers a bit smaller:

$8(r^2+3r-108)=0$

Factor to get

8(r - 9)(r + 12)=0

That means, by the Zero Product Property, that 8 = 0, r - 9 = 0, or r + 12 = 0. We all know that 8 doesn't = 0, so forget that one!! If r - 9 = 0, then r = 9. If r + 12 = 0. then r = -12. We all know that rate cannot be negative (velocity can, but we are not using vector math here), so we discount rate as -12. That means that r = 9. B's rate is 9 then and A's rate is 12. There you go!

3+ (-5)
Help me please

Answers

Answer:

-2

Step-by-step explanation:

3 + - 5 is basically 3 -5 because when a negative meets a positive the signs turn into a negative.

3 -5 is 5 less than three which is -2.

Which of the following correctly completes the square for the equation below?x^2+2x=19
a. (x+2)^2=20
b. (x+1)^2=23
c. (x+1)^2=20
d. (x+2)^2=23

Answers

Answer:

c. $(x+1)^2=20$

Step-by-step explanation:

Since, for getting a perfect square on the left side of a quadratic equation we follow the following steps,

Step 1 : Make 1 as the coefficient of $x^2$ .

Step 2 : Add both side the square of a number which is half of the x's coefficient.

Given equation,

$x^2+2x=19$ -----(1)

Here, the coefficient of $x^2$ is already one.

And, the middle term is 2,

Half of 2 is 1

Also, 1² = 1

Thus, add 1 on both sides of equation (1),

$x^2+2x+1 = 19 + 1$

$(x+1)^2 = 20$ ( Because (a+b)² = a² + 2ab + b² )

⇒ Option C is correct.

The answer is :

c. (x+1)²=20

To check:
(x+1)²=20 (a+b)²=a²+2ab+b²
x²+2x+1=20
x²+2x=20-1
x²+2x=19

Given the formula below, solve for x.

Answers

Answer:

find X in X with x if you find X with x in with x you got a formula

In a scale drawing of a house, 1 inch represents 3 feet. (a)The length of the real house is 21 feet. What is the length of the house in the scale drawing? _ inches

Answers

Answer:

7 inches

Step-by-step explanation:

divide 21 by 3

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