Answer:
Length of BH is 2 units.
Step-by-step explanation:
We have, ΔABC with ∠ABC = 90° and an altitude BH.
Also, it is given that the length of sides AH is 4 units and HC is 1 units.
Since, the 'Altitude Rule' states that 'the length of the altitude is the geometric mean of the line segments it bisects'.
So, we get that,
i.e. 
i.e. 
i.e. 
Since, the length of the side cannot be negative.
So, length of BH is 2 units.
7^2 x cube root 7
= 7^2 x 7^1/3
= 7^2+1/3
= 7^7/3
You can see almost immediately that the second equation, 3x + y = -2, can be solved for y: y = -3x - 2. (Answer A). This -3x - 2 can in turn be subbed for y in the first equation, 4x + 3y = 4. Doing so, we get 4x + 3(-3x - 2) = 4.
Carrying out the indicated opeations: 4x - 9x - 6 = 4, or -5x = 10. Thus,
x = -2. Find y using y = -3x - 2 (from above): y = -3(-2) - 2 = 4.
Thus, the solution is (-2,4). We were not asked to solve this system of equations, but doing so illustrates the helpfulness of elimination of variables in solving simultaneous equations.
Answer:
Expression: 12/(3*4)
Answer: 1
Step-by-step explanation:
