Answer:
<h2>AB = 13</h2>
Step-by-step explanation:
The formula of a distance between two points
![A(x_1,\ y_1),\ B(x_2,\ y_2)\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=A%28x_1%2C%5C%20y_1%29%2C%5C%20B%28x_2%2C%5C%20y_2%29%5C%5C%5C%5Cd%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
We have the points A(-1, -3) and B(11, -8).
Substitute:
![AB=\sqrt{(-8-(-3))^2+(11-(-1))^2}=\sqrt{(-8+3)^2+(11+1)^2}\\\\=\sqrt{(-5)^2+12^2}=\sqrt{25+144}=\sqrt{169}=13\\\\\sqrt{169}=13\ \text{because}\ 13^2=169](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%28-8-%28-3%29%29%5E2%2B%2811-%28-1%29%29%5E2%7D%3D%5Csqrt%7B%28-8%2B3%29%5E2%2B%2811%2B1%29%5E2%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-5%29%5E2%2B12%5E2%7D%3D%5Csqrt%7B25%2B144%7D%3D%5Csqrt%7B169%7D%3D13%5C%5C%5C%5C%5Csqrt%7B169%7D%3D13%5C%20%5Ctext%7Bbecause%7D%5C%2013%5E2%3D169)
Answer:x<-17
Step-by-step explanation:
2-x>15
-x > 15+2
-x >17
x <17/-1
x<-17
3 days. If every day he runs 10 laps then that would be 4000 meters. 1 kilometer is equal to 1000 meters. That means everyday he runs 4 kilometers. Then after 3 days he would have ran 12 kilometers.
knowing the zeros we can rewrite the quadratic function as:
f(x) = (x+2)(x-6)
multiplying both terms we have:
f(x) = x^2 - 4x -12
where:
a = 1
b = -4
c = -12
formula fot axis of symmetry is x= -b/2a
then x= -(-4)/(2*1) = 2
Answer for your question:
520 miles $370 - $240 = $130(you have this much to spend) $0.25 × 520 = $130
<u>Heres an example!</u>
There is a fixed cost and a variable cost (depends on the number of miles driven).
Note that the fixed cost is $180.
The variable cost is ($0.15/mile)*(number of miles). [miles cancel out, leaving only $]
Total cost = fixed cost + variable cost
Total cost = $180 + $0.15x [where x is the number of miles driven]
So, if the total cost is $285,
$285 = $180 + $0.15x
$105 = $0.15x [subtract $180 from both sides]
700 = x [divide both sides by $0.15]