Show a way to decompose 749

I’m trying to correct this problem but I don’t know how can someone help me

BartSMP [9]

Remark

It is not a straight line distance from the park to the mall. None of the answers give you that result. And if you know what displacement is, none of the answers are really displacement either. The distance is sort of a "as the crow flies." distance. There's a stop off in the middle of town.

Method

You need to use the Pythagorean Formula twice -- once from the park to the city Center and once from the city center to the mall.

Distance from the Park to the city center.

a = 3 [distance east]

b = 4 [distance south]

c = ??

c^2 = 3^2 + 4^2 Take the square root of both sides.

c = sqrt(3^2 + 4^2)

c = sqrt(9 + 16) Add

c = sqrt(25)

c = 5

So the distance from the park to the city center is 5 miles

Distance from City center to the mall

a = 2 miles [distance east]

b = 2 miles [distance north]

c = ??

c^2 = a^2 + b^2 Substitute

c^2 = 2^2 + 2^2 Expand this.

c^2 = 4 + 4

c^2 = 8 Take the square root of both sides.

sqrt(c^2) = sqrt(8)

c = sqrt(8) This is the result

c = 2.8

Answer

Total distance = 5 + 2.8 = 7.8

6 0

3 years ago

Montrey recently paid off his simple interest loan. If he borrowed $6,500 for 5 years at 7%, what was the total amount he had to

erica [24]

9514 1404 393

Answer:

$8,775

Step-by-step explanation:

The amount due is given by the formula ...

A = P(1 +rt)

where P is the principal amount, r is the annual rate, and t is the number of years.

A = $6,500(1 +0.07×5) = $6,500(1.35) = $8,775

Montrey had to pay back $8,775.

6 0

2 years ago

2^x=3^x+1 what are the exact approximate solutions

Mashcka [7]

Answer:

d.

Step-by-step explanation:

The goal of course is to solve for x. Right now there are 2 of them, one on each side of the equals sign, and they are both in exponential positions. We have to get them out of that position. The way we do that is by taking the natural log of both sides. The power rule then says we can move the exponents down in front.

$ln(2^x)=ln(3^{x+1})$ becomes, after following the power rule:

x ln(2) = (x + 1) ln(3). We will distribute on the right side to get

x ln(2) = x ln(3) + 1 ln(3). The goal is to solve for x, so we will get both of them on the same side:

x ln(2) - x ln(3) = ln(3). We can now factor out the common x on the left to get:

x(ln2 - ln3) = ln3. The rule that "undoes" that division is the quotient rule backwards. Before that was a subtraction problem it was a division, so we put it back that way and get:

$x(\frac{ln(2)}{ln(3)})=ln(3)$ . We can factor out the ln from the left to simplify a bit: