What is the length of segment XY?

Mathematics

2 answers:

Brilliant_brown [7]3 years ago

6 0

Answer:

StartRoot 53 EndRoot units

XY = √53

Step-by-step explanation:

Choose which is point 1 and point 2 so you don't confuse the coordinates.

Point 1 (–4, 0) x₁ = –4 y₁ = 0

Point 2 (3, 2) x₂ = 3 y₂ = 2

Use the formula for the distance between two points.

$L = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}$

$XY = \sqrt{(3-(-4))^{2} + (2-0)^{2}}$

$XY = \sqrt{49 + 4}$

$XY = \sqrt{53}$

Therefore the line of segment XY is √53.

lisabon 2012 [21]3 years ago

3 0

Answer:

sqr root 53

Step-by-step explanation:

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luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. what is the total cost of th

aivan3 [116]

ANSWER:

The total cost of the skate board is $74.61.

SOLUTION:

Given, Luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. luis has to pay a state sales tax of 6.75%.

We need to find what is the total cost of the skateboard.

Final cost is nothing but original amount subtracted by discount and added with tax.

final cost = original cost – discount + sales tax

Original cost = $79.99

Discount = 12% of original cost

$\begin{array}{l}{=12 \% \times 79.99} \\\\ {=\frac{12}{100} \times 79.99} \\\\ {=\frac{959.88}{100}} \\\\ {=9.5988}\end{array}$

discount is $9.6 approximately

Sales tax = 6% of cost after discounting

$\begin{array}{l}{=6 \% \times \text { (original cost - discount) }} \\\\ {=\frac{6}{100} \times(79.99-9.6)} \\\\ {=\frac{6}{100} \times(70.39)} \\\\ {=\frac{422.34}{100}} \\\\ {=4.2234}\end{array}$