Answer:
Prime
Step-by-step explanation:
In this example, y is equal to 8.
In order to find this, first note that the two x value expressions create a straight line. That means when we add them together they will equal 180. this will give us a value for x.
x + 10 + 10x - 61 = 180
11x - 51 = 180
11x = 231
x = 21
Now that we have the value of x, we can do the same for the straight line created by the x + 10 angle and the 18y + 5 angle.
x + 10 + 18y + 5 = 180
(21) + 10 + 18y + 5 = 180
36 + 18y = 180
18y = 144
y = 8
The solutions will lie in all the four quadrants.
y≤2/7x+1
We have the following inequality:
y=2/7x+1
If x=0
y=2/7(0) +1
y=1
If y=0
x=-3.5
So the line passes through the points:
(0,1) and (-3.5,0)
To find the shaded region, let us take a point, namely, the origin and test it in the inequality:
y≤ 2/7x +1
0≤ 2/7(0) +1
0≤ 1 which is true
Since this is true, then the shaded region includes this point. This is shown below and as you can see the solutions exist in all four quadrants.
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Answer:
k = 11
Step-by-step explanation:
Given the points are collinear then the slopes between consecutive points are equal.
Using the slope formula
m = 
with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)
m = 
= 
= 
Repeat with another 2 points and equate to
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)
m = 
, then
= ( cross- multiply )
k - 1 = 10 ( add 1 to both sides )
k = 11
Given:
A line passes through the points (2,-1) and (1,-5).
To find:
The equation of the line.
Solution:
If a line passes through the two points, then the equation of the line is
The line passes through the points (2,-1) and (1,-5). So, the equation of the line is
Using distributive property, we get
Subtract 1 from both sides.
Therefore, the correct option is B.
