Answer:
Step-by-step explanation:
In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. For example, the complex conjugate of 3 + 4i is 3 − 4i. In polar form, the conjugate of is.
Answer:
1/2 (40×60)
Step-by-step explanation:
area of kite = 1/2 × diagonal 1 × diagonal 2
Step-by-step explanation:
Divide 180 by 3 = 60
Divide 150 by 2 = 75
The faster vehicle is truck and its speed is 75 mph
Answer:
x =7 or x = -4
Step-by-step explanation:
|2x – 3| = 11
There are two solutions to an absolute value equation, one positive and one negative
2x-3 =11 or 2x-3 = -11
Add 3 to each side
2x-3+3 = 11 +3 2x-3+3 = -11+3
2x = 14 2x = -8
Divide each side by 2
2x/2 =14/2 2x/2 = -8/2
x =7 x = -4
Answer:
0.2 centimeters
Step-by-step explanation:
Strategy 1:
Make the equation: 5=a•s, where s is the scale factor and "a" is the number of centimeters which 5 meters
First, we need to find the scale factor. 50 meters would be s times greater than 2 centimeters. Find s by first converting meters into centimeters
50m=5000cm. 5000cm=2cm*s, so s = 2500
5m=a*2500, a=0.002 meters, and 0.002 meters is equal to 0.2 centimeters.
Strategy 2:
the ratio of the scale drawing to real life will always stay the same, so
2 cm / 50 meters = x / 5 meters, and cross multiply to get
x cm* 50 m = 2 cm * 5 m, so
x cm * 10 = 2 cm
x cm = 2/10 cm
x cm = 0.2 cm
Strategy 3:
Notice that 5 meters is 10 times smaller than 50 meters, so on the scale drawing, we are looking for a number 10 times smaller than 2 centimeters, so 2/10=0.2 cm
