Answer:
1.y=2x+7
2.y=1/2x+2
Step-by-step explanation:
Graph 1-
The slope-intercept form is y=mx+b
b= y-intercept which in graph 1 is 7
so y=mx+7
in order to find m you use the y2-y1/x2-x1 equation.
This means find two coordinates on the graph such as (0,7) and (-1,5).
Now find y2:5
y1:7
x2:-1
x1:0
y2-y1= 5-7=-2
x2-x1= -1
That gives you -2/-1 which you then simplify to = 2
So the graph would be y=2x+7
Graph 2:
You will do the same steps: Find where the line passes through y on a graph, which will be y=2.
b=2
y=mx+2
then find two coordinates, (0,2)(2,3)
y2=3
y1=2
x2=2
x1=0
y2-y1=3-2=1
x2-x1=2-0=2
The slope of the graph which is m= 1/2
y=1/2x+2
Area of a triangle = 1/2 base * height
A = 1/2 (10)* 20
A= 5*20
A = 100 cm^2
Choice C
The amount of the radioactive material in the vault after 140 years is 210 pounds
<h3>How to determine the amount</h3>
We have that the function is given as a model;
f(x) = 300(0.5)x/100
Where
- x = number of years of the vault = 140 years
- f(x) is the amount in pounds
Let's substitute the value of 'x' in the model
f(x) = 300(0.5)x/100


f(140) = 210 pounds
This mean that the function of 149 years would give an amount of 210 pounds rounded up to the nearest whole number.
Thus, the amount of the radioactive material in the vault after 140 years is 210 pounds
Learn more amount radioactive decay here:
brainly.com/question/11117468
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<span>(–7 + 3i) – (2 – 6i)
subtract the like terms.
-7 - 2 = -9
3i - (-6i) = 3i +6i = 9i
The answer becomes -9 + 9i</span>
Answer:
Yes it will be able to make the journey in under a year.
Step-by-step explanation:
To find out how many hours it will take
and divide by 8400
So it will take the space ship 190.476 hours to make the trip.
Next, ask our self, how many hours are in a year?
To find out multiply 365 * 24 = 8760 hr
The 365 = number of day in a year. The 24 = number of hours in a day.
Knowing how many hours there are in a year and how long the trip will take tells us that the journey can be made under a year since there are 8760 hours in a year and we know we can make it there in 190.476 hr traveling at 8400 mph