Answer:
7x7/6x4
Step-by-step explanation:
Let the numbers be x and y. Then xy = -30 and x+y = -3.
Solve xy = -30 for y: y = -30/x
subst. -30/x for y in x+y= -3: x - 30/x = -3
Multiply all 3 terms by x: x^2 - 30 = -3x, so x^2 + 3x - 10 = 0
Solve this quadratic equation for x. x: {-5, 2}
If x = -5, then x+y = -3 becomes -5 + y = -3, and y = 2.
You should check to determine whether x=2 is also correct. If it is, what is the corresponding y value?
Answer:
11/3 divides by 60/11 = 660/33 = 20
Step-by-step explanation:
Answer:
(1.2, –4.7)
Step-by-step explanation:
Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)
Also, the ratio of A to B is 5:8
Based on this, the x and y coordinates at point C is
![= [\frac{5\times (-8) + 8\times 7}{5 + 8} , \frac{5\times (-9) + 8\times -2}{5 + 8}]\\\\= [\frac{16}{3}, \frac{-61}{13}]](https://tex.z-dn.net/?f=%3D%20%5B%5Cfrac%7B5%5Ctimes%20%28-8%29%20%2B%208%5Ctimes%207%7D%7B5%20%2B%208%7D%20%2C%20%5Cfrac%7B5%5Ctimes%20%28-9%29%20%2B%208%5Ctimes%20-2%7D%7B5%20%2B%208%7D%5D%5C%5C%5C%5C%3D%20%5B%5Cfrac%7B16%7D%7B3%7D%2C%20%5Cfrac%7B-61%7D%7B13%7D%5D)
= (1.2, –4.7)
Hence, the x and y coordinates of point C is (1.2, –4.7)
Therefore the last option is correct
The answer is option 2
Power = 175 hp
The correct formula to calculate the power is:
Power = weight * (speed / 234) ³
Where the weight is that of the vehicle plus the driver's
Therefore the calculation is as follows:
Power = (2200 + 180) * (98/234) ³
Power = 174.8266 hp
Rounding ...
Power = 175 hp
