With that information you can determine how far the park is from the football field.
Call h the height of the triangle, x the distance from the park to the football field and y the distance from the park to the home of Kristen.
Using Pithagora's theorem, ou can state this system of equations:
1) From the complet triangle: x^2 + y^2 = (8 + 2)^2 = 10^2 = 100
2) From the triangle whose hypotenuse is the distance from the park to the football field:
x^2 = 8^2 + h^2
3) From the triangle whose hypotenuse is the distance from the park to the home of Kristen:
y^2 = 2^2 + h^2
To solve the system start by subtracting equation 3) from equation 1) =>
x^2 + y^2 = 100
y^2 = 4 + h^2
---------------------
x^2 = 100 - 4 - h^2
x^2 = 96 - h^2
Now sum this result to equation 2
x^2 = 96 - h^2
x^2 = 64 + h^2
---------------------
2x^2 = 96 + 64
2x^2 = 160
=> x^2 = 80
=> x = 8.94
Answer: 8.94 miles
Take second equation here,
2x + 9 = -12
2x = -12 - 9
2x = -21
Multiply by 2,
4x = -42
Now, substitute the vaue of 4x in 1st equation,
-42 - y = 2
-y = 2 + 42
y = -44
In short, Your Answer would be -44
Hope this helps!
Answer:
1500ft
Step-by-step explanation:
Ight so 60/12 is 5. So then you'd multiply 100 by 5 to get 500, therefore she is moving 500 yards per minute.
Then you'd obviously just convert that to feet which is 1500 feet.
This isnt something I can do... But draw and label a tape diagram that goes from 0 to 30.
Answer:
k(x) + g(x) = x² - 3x + 4
General Formulas and Concepts:
<u>Alg I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x - 7
g(x) = 2x² - 3x + 1
h(x) = 4x + 1
k(x) = -x² + 3
<u>Step 2: Find k(x) + g(x)</u>
- Substitute: k(x) + g(x) = -x² + 3 + 2x² - 3x + 1
- Combine like terms (x²): k(x) + g(x) = x² + 3 - 3x + 1
- Combine like terms (Z): k(x) + g(x) = x² - 3x + 4
