Answer:
D>0
Step-by-step explanation:
a positive discriminate means that their are two real solutions
14 cups. He's making three pizzas so he needs 3 pizzas' worth of flour. For one, he needs two. So he needs six cups in total. 20-6=14
Answer:
the answer is B, C is the total of cost (the dependent variable) because it depends on the independent variable, which is h. the dependent variable always is dependent on the independent value, like, you need the total of hours that you are renting the boat to know how much you need to pay, it can't be the other way around.
Answer with explanation:
For any object having the velocity vector as
![\overrightarrow{v}=v_x\widehat{i}+v_y\widehat{j}+v_z\widehat{k}](https://tex.z-dn.net/?f=%5Coverrightarrow%7Bv%7D%3Dv_x%5Cwidehat%7Bi%7D%2Bv_y%5Cwidehat%7Bj%7D%2Bv_z%5Cwidehat%7Bk%7D)
the magnitude of velocity is given by
![|v|=\sqrt{v_x^2+v_y^2+v_z^2}](https://tex.z-dn.net/?f=%7Cv%7C%3D%5Csqrt%7Bv_x%5E2%2Bv_y%5E2%2Bv_z%5E2%7D)
For car 1 the velocity vector is
![\overrightarrow{v}_1=20\widehat{i}+25\widehat{j}](https://tex.z-dn.net/?f=%5Coverrightarrow%7Bv%7D_1%3D20%5Cwidehat%7Bi%7D%2B25%5Cwidehat%7Bj%7D)
Therefore
![|v_1|=\sqrt{20^2+25^2}\\\\\therefore v_1=32.0156units](https://tex.z-dn.net/?f=%7Cv_1%7C%3D%5Csqrt%7B20%5E2%2B25%5E2%7D%5C%5C%5C%5C%5Ctherefore%20v_1%3D32.0156units)
Similarly for car 2 we have
![\overrightarrow{v}_2=30\widehat{i}](https://tex.z-dn.net/?f=%5Coverrightarrow%7Bv%7D_2%3D30%5Cwidehat%7Bi%7D)
Therefore
![|v_2|=\sqrt{30^2}\\\\\therefore v_2=30.0units](https://tex.z-dn.net/?f=%7Cv_2%7C%3D%5Csqrt%7B30%5E2%7D%5C%5C%5C%5C%5Ctherefore%20v_2%3D30.0units)
Comparing both the values we find that car 1 has the greater speed.