Answer:
there are three significant numbers
Answer:
Step-by-step explanation:
a)
- 1.5x² + 6x + * =
- 1.5(x² + 4x + *) =
- 1.5(x² + 2*2x + 4) =
- 1.5(x + 2)²
- * = 1.5*2² = 6
b)
- 2x² - 5x + * =
- 2(x² - 2.5x + *) =
- 2(x² - 2*1.25x + 1.25²)=
- 2(x - 1.25)²
- * = 2*(1.25)² = 3.125 or 25/8
Step-by-step explanation:
y |X(the sign for protionality) 1/√x
y = 7 when x = 36
y = k/√x
7 = k/√36
7 = k / 6 cross multiply
k = 7×6
k = 42
find y when x is 4
y = 42/√x
y = 42/√4
y = 42/2
y = 21
Check the picture drawn
Consider the line segment AB,
let M be the midpoint of AB, so AM=MA
erect the perpendicular MT to AB from point M. Pick a point P on MT and join it to the points A and B
The triangles PMA and PMB are congruent from the Side Angle Side congruence postulate:
AM=MA, PM is common and m(PMA)=m(PMB)=90°, as MT is perpendicular to AB
so PA=PB
Answer:
After 5 hours the two would charge the same amount of money.
Step-by-step explanation:
Designer A: $450 + ($105/hr)x, where x is the number of hours worked;
Designer B: $725 + ($50/hr)x
Equating these two formulas, we get:
$450 + ($105/hr)x = $725 + ($50/hr)x
Subtracting $450 from both sides: ($55/hr)x = $275
Dividing both sides by $55 yields the number of hours worked:
x = $275/$55 = 5
After 5 hours the two would charge the same amount of money.