First you normalize 3x+4y=12 into y = -3/4 x + 3 (dividing by 4).
Then you observe that the slope of the line is -3/4 (it's always the factor with the x). A perpendicular line has the reciprocal slope. Reciprocal means inverted and negated. So -3/4 becomes +4/3.
The equation will thus look like y = 4/3 x + b. To find b, we fill in the given x intercept (0,2), (we get 2 = 4/3 * 0 + b). With x=0, b must be 2.
So the equation is: y = 4/3 x + 2
Answer: Right angled triangles and parallelograms; Pythagorean triplets, triangles meet maths; Shadows and right triangles (radius of the Earth). The right ...
Step-by-step explanation:
Answer:
Given the system of equation:
......[1]
......[2]
we can rewrite equation [2] as;
......[3]
Substitute equation [3] into [1] to eliminate x, and solve for y;

Using distributive property: 

Combine like terms;
16 - 8y = -4
Add 4 to both sides we have;
20 - 8y = 0
Add 8y to both sides we have;
20 = 8y
Divide 8 to both sides we have;

Substitute the y-value in [3] we have;

x = 8 - 5 = 3
Therefore, the expression should be substituted into the first equation is,
and also the value of x = 3 and y = 2.5
It would be 82.54 centimeters tall by the end of August so you would round it up so it would become 83 centimeters meaning that the estimate would be greater than the actual height because you would be rounding up to the nearest whole number not down.