First I would convert 20 and 12 to millimeters which would be 20= 200mm 12= 120mm. You would then find the area if the grid which would be 200•120=
(x-8)^2+y^2=225 I'm not able to factor it
there are no signs between the x and y and constant
it could be
2x+5y=15
2x+5y=-15
-2x+5y=15
2x-5y=15
for ax+by=c, the equation of a line paralell to that is
ax+by=d where a=a, b=b, and c and d are constants
(for this answer, I'm going to use 2x+5y=15)
given 2x+5y=15, the equation of a line paralell to that is 2x+5y=d
to find d, subsitute the point (4,-2), basically put 4 in for x and -2 for y to get the constant
2x+5y=d
2(4)+5(-2)=d
8-10=d
-2=d
the eqaution is 2x+5y=-2 (Only if the original equation is 2x+5y=-15
Yes, y=x has an inverse.
Yes, y=x passes the horizontal line test.
If it didn't pass the horizontal line test, it would not have an inverse.
Based on the calculations, the solutions of this system of linear inequalities are equal to:
- y < 4x + 5
- y ≤ 2x + 3
<h3>What is an inequality?</h3>
An inequality simply refers to a mathematical relation that's used to compare two (2) or more integers (variables) in an equation based on any of the following:
- Greater than or equal to (≥).
- Less than or equal to (≤).
In order to determine the solutions of this system of linear inequalities, we would find the slope of each line.
For line A, we have:
Slope, m = (11 - 3)/(4 - 0) = 8/4
Slope, m = 2.
Mathematically, the standard equation of a line is given by y = mx + b.
y = 2x + 3
y ≤ 2x + 3.
For line B, the slope is equal to 4. Also, the y-intercept from the graph is equal to 5.
Therefore, the standard equation of a line is given by:
y = 4x + 5
y < 4x + 5
In conclusion, the solutions of this system of linear inequalities are equal to:
- y < 4x + 5
- y ≤ 2x + 3
Read more on linear inequalities here: brainly.com/question/21103162
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