Step-by-step explanation:
factor 4 out of the variable terms, as this helps.
but my approach is simply to define the target and then calculate "backwards".
we want to find
(ax + b)² = a²x² + 2abx + b²
and now we compare with the original equation :
a²x² = 4x²
a² = 4
a = 2
2abx = 16x
2×2×bx = 16x
4b = 16
b = 4
b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.
so, our equation is
(2x + 4)² - 13 = 0
(2x + 4)² = 13
2x + 4 = sqrt(13)
2x = sqrt(13) - 4
x = sqrt(13)/2 - 2
1.6 cups of vinegar for 4 cups of soap.
Answer:
the 2$ resturant needs 11 and the $1.50 needs 16
Step-by-step explanation:
division
"The two figures are congruent because rigid motions are used to map Figure 1 onto Figure 2.
"Angle corresponding to ∠J: ∠V
1) Counting the lengths of each side, (by the length of x, and the displacement in y) we can state that both figures are congruent.
Note that this is a rough way of measuring. Just considering the "rise/run" in each line segment.
2) Also, we can state that angle J is corresponding to angle ∠V in figure 2.
3) Thus we can answer that as:
"The two figures are congruent because rigid motions are used to map Figure 1 onto Figure 2.
"Angle corresponding to ∠J: ∠V
To write a percent as a decimal you move the decimal point two spaces to the left. Therefore the decimal best representing 27.2% would be .272