H = 2sqrt2
D = 6sqrt3
In a 45,45,90 triangle the hypotenuse is (x)sqrt2 while the side lengths are equivalent being a single value x. Therefore, when given the hypotenuse and solving for the leg, divide 4 by sqrt2 to get 4sqrt2/2 which simplifies to 2sqrt2 when the denominator and numerator cancel.
In a 30,60,90 triangle the short leg x is across from the 30 degree angle meaning the angle across from the 60 degree angle is x times the sqrt of 3. Therefore the long leg is 6sqrt3
Answer:
annual growth rate m = 637.5 people / year
Step-by-step explanation:
Solution:-
- The scatter plot displaying the city's population was modeled by a linear equation of the form:
y = m*x + c
Where, m and c are constants.
- The scatter plot displayed the following relation of the city's population (p):
p = 637.5*t + 198,368.1
Where, p : The population in t years after after 1990
t : The number of years passed since 1990.
- The slope of the graph "m = 637.5" denotes the rate of change of dependent variable with respect ot independent variable:
dp / dt = m = 637.5
- So the rate of change of population per unit time t since 1990 has been constant with a an annual growth rate m = 637.5 people / year
Answer:
(x-5)(x+5)
Step-by-step explanation:
Answer:
(2,-3)
x=2 y=-3
Step-by-step explanation:
2x+y=1 y=1-2x
3x+2y=0
3x+2(1-2x)=0
3x+2-4x=0
-x+2=0
-x=-2
x=2
2x+y=1
2(2)+y=1
4+y=1
y=-3
