Answer:
Step-by-step explanation:
2: exterior and opposite
3:supplementary
5: angles and equal
6: supplementary
Answer:
A linear equation in the slope-intercept form is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Now, we know that the rate of change (the slope) is -5
Then we just replace a by -5
y = -5*x + b
Now we also know that this line passes through a point, and the point is (3, 0)
This means that the point (3, 0) is a solution for the line equation, so when x = 3, we also have y = 0.
Replacing these values in our equation we get:
0 = -5*3 + b
0 = -15 + b
15 = b
Now we know the value of b, so we can replace it in the line equation to get:
y = -5*a + 15
Which is the complete equation of the line.
Answer:
The answer is the option C
The graph in the attached figure
Step-by-step explanation:
Let
x------> the number of notebooks
y-----> the number of tablets
we know that
The inequality that represent the situation is equal to
Using a graphing tool
see the attached figure
The solution is the triangular shaded area
Answer:
111 pieces of soda
Step-by-step explanation:
step 1
Find the area of the rectangular backyard
The area of the rectangular backyard is equal to

where


substitute


step 2
Find the area of one piece of sod
The area of the rectangular piece of sod is

where


substitute

step 3
Find the pieces of sod needed
To find out how many whole pieces of sod will Jim need to buy to cover his backyard, divide the area of the backyard by the area of one piece of soda
so

Round up
111 pieces of soda
Hey there!
First, multiply the second equation by -2 as the problem states. When you multiply the second equation by -2, you get:
-2x+4y=2
Now, add this equation to the first equation in which you simply combine like terms:
2x+y=3
+
-2x+4y=2
=
5y= 5
In conclusion, the correct answer would be the first choice.