Answer:Divide both sides by the numeric factor on the left side, then solve.
m
=
−
4
Step-by-step explanation:
1) Given
2) Adding segments AB and BC together gives AC (Addition postulate, not too sure about the terminology)
3) Segment Addition postulate
4) Segment Addition postulate(Knowing that AC=BD, the distance between BC and CD add up to BD, shown in #3. AB and BC add together to give AC)
5) Subtraction property of Equality
Hope I helped :)
Answer: Hello! After being distributed, your answer should be 10x-20y+40z, hope this helps!
Step-by-step explanation: First multiply 5 and 2x and get 10x, then multiply 5 and 4y and get 20y, and lastly, multiply 5 an 8z and get 40z!
The roots: this is when y=0, so in yours there are 2 roots. Just look at the x value when y=0 and that is your roots.
Y intercept- this is when x=0, so just look at the y value below x=0 and that is the y intercept. Note the answer will probably be in the form (0,_)
Vertex=do you see a pattern? Well the vertest would be the highest or lowest point of the quadratic equation. Your vertex would be (5,-9) because just look at x=4 and x=6, bit of the y values are -8 and when you look at x=3 and x=7 they are also the same because this is a quadratic equation.
Max or min: yours is a minimum because (5,-9) is the lowest point. Every value left and right of this are higher up the graph, so this would be a minimum.
*something that will help you see this all more clearly is if you graphed this or put it into Desmos to see the vertex etc.
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
