That would be 263 idk I just had to put an answer so that it lets me see more answers
Answer: Distance = √145
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
<u>Given information</u>
(x₁, y₁) = (4, -9)
(x₂, y₂) = (5, 3)
<u>Given formula</u>
![Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=Distance%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
<u>Substitute values into the formula</u>
![Distance = \sqrt{(5-4)^2+(3+9)^2}](https://tex.z-dn.net/?f=Distance%20%3D%20%5Csqrt%7B%285-4%29%5E2%2B%283%2B9%29%5E2%7D)
<u>Simplify values in the parentheses</u>
![Distance = \sqrt{(1)^2+(12)^2}](https://tex.z-dn.net/?f=Distance%20%3D%20%5Csqrt%7B%281%29%5E2%2B%2812%29%5E2%7D)
<u>Simplify exponents</u>
![Distance = \sqrt{1+144}](https://tex.z-dn.net/?f=Distance%20%3D%20%5Csqrt%7B1%2B144%7D)
<u>Simplify by addition</u>
![Distance = \sqrt{145}](https://tex.z-dn.net/?f=Distance%20%3D%20%5Csqrt%7B145%7D)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
c.
$978.96
Step-by-step explanation:
Answer:
3750 feet long
Step-by-step explanation:
you would multiply the inches of the model ( 15) by the feet of the scale ( in this case 250) to get the real amount of feet for the boat.
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
![\spadesuit\; Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}](https://tex.z-dn.net/?f=%5Cspadesuit%5C%3B%20Slope%28m%29%20%3D%20%5Cfrac%7By_1%20-%20y_2%7D%7Bx_1%20-%20x_2%7D)
Given Points are (8 , 30) and (18 , 60)
here x₁ = 8 and x₂ = 18 and y₁ = 30 and y₂ = 60
![\spadesuit\; Slope(m) = \frac{30 - 60}{8 - 18} = \frac{-30}{-10} = 3](https://tex.z-dn.net/?f=%5Cspadesuit%5C%3B%20Slope%28m%29%20%3D%20%5Cfrac%7B30%20-%2060%7D%7B8%20-%2018%7D%20%3D%20%5Cfrac%7B-30%7D%7B-10%7D%20%3D%203)
We know that the form of line passing through point (x₀ , y₀) and having slope m is : y - y₀ = m(x - x₀)
Here the line passes through the point (8 , 30)
⇒ x₀ = 8 and y₀ = 30
We found Slope(m) = 3
Substituting all the values in the standard form, We get :
Equation of the line : y - 30 = 3(x - 8)
Let d be the x-intercept of this line
⇒ The line passes through the point (d , 0) as at x-intercept, y-coordinate is zero.
⇒ 0 - 30 = 3(d - 8)
⇒ 3d - 24 = -30
⇒ 3d = -30 + 24
⇒ 3d = -6
⇒ d = -2
⇒ The x - coordinate of the x-intercept of the line is -2