Answer:
(-2, -4)
Step-by-step explanation:
welll...you have there written just one relationship...it is berween 280 and 4 hours...you have to figure out speed:
![280 \div 4 = 70](https://tex.z-dn.net/?f=280%20%5Cdiv%204%20%3D%2070)
it is speed per hour
then you just connect time and speed:
- 140 - 2
- 280 - 4
- 350 - 5
- 420 - 6
- 560 - 8
- 700 - 10
Answer:
11.1
Step-by-step explanation:
We have the hypotonouse but need the opposite side
We will therefore use SOH
sin(68)=x/12
12sin(68)=x
x=11.1
Answer:
4 cm
Step-by-step explanation:
CA is equal to BD (8), and CE is one half of CA.
We use quadratic formula for that one
remember that √-1=i
so
for
ax^2+bx+c=0
![x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%2B%2F-%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
so
given
2x^2-3x+9=0
a=2
b=-3
c=9
![x=\frac{-(-3)+/-\sqrt{(-3)^2-4(2)(9)}}{2(2)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-3%29%2B%2F-%5Csqrt%7B%28-3%29%5E2-4%282%29%289%29%7D%7D%7B2%282%29%7D)
![x=\frac{3+/-\sqrt{9-72}}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%2B%2F-%5Csqrt%7B9-72%7D%7D%7B4%7D)
![x=\frac{3+/-\sqrt{-63}}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%2B%2F-%5Csqrt%7B-63%7D%7D%7B4%7D)
![x=\frac{3+/-(\sqrt{-1})(\sqrt{63})}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%2B%2F-%28%5Csqrt%7B-1%7D%29%28%5Csqrt%7B63%7D%29%7D%7B4%7D)
![x=\frac{3+/-(i)(3\sqrt{7})}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%2B%2F-%28i%29%283%5Csqrt%7B7%7D%29%7D%7B4%7D)
![x=\frac{3+/-3i\sqrt{7}}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%2B%2F-3i%5Csqrt%7B7%7D%7D%7B4%7D)
the 2 complex solutions (in form a+bi) are
![x=\frac{3}{4}+\frac{3i\sqrt{7}}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%7D%7B4%7D%2B%5Cfrac%7B3i%5Csqrt%7B7%7D%7D%7B3%7D)
and