Answer:
1) The solve by graphing will the preferred choice when the equation is complex to be easily solved by the other means
Example;
y = x⁵ + 4·x⁴ + 3·x³ + 2·x² + x + 3
2) Solving by substitution is suitable where we have two or more variables in two or more (equal number) of equations
2x + 6y = 16
x + y = 6
We can substitute the value of x = 6 - y, into the first equation and solve from there
3) Solving an equation be Elimination, is suitable when there are two or more equations with coefficients of the form, 2·x + 6·y = 23 and x + y = 16
Multiplying the second equation by 2 and subtracting it from the first equation as follows
2·x + 6·y - 2×(x + y) = 23 - 2 × 16
2·x - 2·x + 6·y - 2·y = 23 - 32
0 + 4·y = -9
4) An example of a linear system that can be solved by all three methods is given as follows;
2·x + 6·y = 23
x + y = 16
Step-by-step explanation:
Answer:
7,000
the green line in the middle is the median
Step-by-step explanation:
Volume of the cube = x³
Volume of the cuboid =x*2*5=10x
V(cube) - V(cuboid) = 100
x³ - 10x =100
Answer:
D. 22,417 feet
Step-by-step explanation:
Fine the diagram in the attachment for proper elucidation. Using the SOH, CAH, TOA trigonometry identity to solve for the distance (x) from the plane (P) to the observer (O), the longest side x is the hypotenuse and the side facing the angle of elevation is the opposite.
Hypotenuse = x and Opposite = 15,000feet
According to SOH;
![sin 42^0 = \frac{Opposite}{Hypotenuse} \\\\Sin42^0 = \frac{15000}{x}\\ \\x = \frac{15000}{sin42^0}\\\\ \\](https://tex.z-dn.net/?f=sin%2042%5E0%20%3D%20%5Cfrac%7BOpposite%7D%7BHypotenuse%7D%20%5C%5C%5C%5CSin42%5E0%20%3D%20%5Cfrac%7B15000%7D%7Bx%7D%5C%5C%20%5C%5Cx%20%3D%20%5Cfrac%7B15000%7D%7Bsin42%5E0%7D%5C%5C%5C%5C%20%5C%5C)
![x = \frac{15000}{ 0.6691} \\\\x = 22,417 feet](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B15000%7D%7B%200.6691%7D%20%5C%5C%5C%5Cx%20%3D%2022%2C417%20feet)
Hence the distance (x) from the plane P to the observer O is approximately 22,417 feet
the sizes are as following:
tiger beetle: 5/8
carpenter ant: 1/2
aphid: 1/8