Answer:
The coordinates of B is (3, - 5)
Step-by-step explanation:
A(6, 1)
C(2, -7)
Coordinates of point B such that AB = 1/3 × BC
Hence we have;

Therefore BC = 3/4 × AC
Hence, AB = 1/3 × BC = 1/3 × 3/4 × AC = 1/4 × AC
AC = √((6 - 2)² + (1 - (-7))²) = √(16 + 64) = √80 = 4·√5
AB = 1/4 × 4·√5 = √5
Therefore;
AB² = (x - 6)² + (y - 1)² = 5
Slope = (1 - (-7))/(6 - 2) = 2
Hence the y coordinate of B = -7 + sin(tan⁻¹(2)) ×√5 = -5
The x coordinate of B = 2 + cos(tan⁻¹(2)) ×√5 = 3
The coordinates of B = (3, - 5)
Answer:
The mass of the Blue whale is 200 times the mass of the cow
Step-by-step explanation:
Given
Mass of Cow = 9 * 10² kg
Mass of Blue Whale = 1.8 * 10⁵ kg
Required
Determine the relationship between both weights
Represent the mass of the cow with C and the mass of the whale with B






Divide the bigger weight by the smaller weight



Multiply both sides by C



<em>From the expression above, it can be concluded that the mass of the Blue whale is 200 times the mass of the cow</em>
Hey There!
To solve this problem you need to know the math term "PEMDAS". For this problem we will be using the A and S part (addition & subtraction). When an order of operation problem has only addition and subtraction, you solve the problem by the order of left to right. First, you do 14-10 which equals 4, then you add 5, which equals 9, then you add 9 to 3, that equals 12 then you add 2 to that which equals 14. You're final answer should be 14.
Hope This Helped ;)