Respuesta :

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf 9.8}}[/tex]

Step-by-step explanation:

We are asked to find the distance between two points. We will calculate the distance using the following formula;

[tex]d= \sqrt {(x_2-x_1)^2+(y_2-y_1)^2[/tex]

In this formula, (x₁ , y₁) and (x₂ , y₂) are the 2 points. We are given the points (4,0) and (0,9). If we match the value and the corresponding variable, we see that:

  • x₁= 4
  • y₁= 0
  • x₂= 0
  • y₂= 9

Substitute the values into the formula.

[tex]{d= \sqrt {(0-4)^2+(9-0)^2[/tex]

Solve inside the parentheses.

  • (0-4)= -4
  • (9-0)= 9

[tex]d=\sqrt{(-4)^2+ (9)^2[/tex]

Solve the exponents. Remember that squaring a number is the same as multiplying it by itself.

  • (-4)²= -4*-4= 16
  • (9)²= 9*9= 81

[tex]d= \sqrt{(16)+(81)[/tex]

Add.

[tex]d= \sqrt{97[/tex]

Take the square root of the number.

[tex]d=9.848857802[/tex]

Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 8 in the tenth place.

[tex]d\approx 9.8[/tex]

The distance between the two points (4,0) and (0,9) is approximately 9.8

Otras preguntas