Determine if (1, 3) is a solution to the given system of linear equations. 5x+y=8 x+2y=5 (1 point)
2 answers:
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Draw an accurate picture of the points in the coordinate axis, as shown in the figure.
D, F have equal x coordinate, so DF is perpendicular to the x-axis.
D, E have equal x coordinate, so DE is perpendicular to the y-axis.
this means DF and DE are perpendicular, so DEF is a right triangle, with m(D)=90°.
Let A be the midpoint of DF. The x coordinate of A is 1 and the y coordinate can be found as follows:
subtract the y coordinate of D from the y coordinate of F, that is 5-1=4.
Divide by 2 and add to the y coordinate of D, that is 4/2+1=2+1=3 is the y coordinate of A.
Let B be the midpoint of DE, follow the previous procedure to find the coordinates of B.
A(1, 3) and B(4, 1).
draw the perpendicular through A and the perpendicular through B, thet meet at point C(4, 3), which is the circumcenter.
Answer: C(4, 3)
D, F have equal x coordinate, so DF is perpendicular to the x-axis.
D, E have equal x coordinate, so DE is perpendicular to the y-axis.
this means DF and DE are perpendicular, so DEF is a right triangle, with m(D)=90°.
Let A be the midpoint of DF. The x coordinate of A is 1 and the y coordinate can be found as follows:
subtract the y coordinate of D from the y coordinate of F, that is 5-1=4.
Divide by 2 and add to the y coordinate of D, that is 4/2+1=2+1=3 is the y coordinate of A.
Let B be the midpoint of DE, follow the previous procedure to find the coordinates of B.
A(1, 3) and B(4, 1).
draw the perpendicular through A and the perpendicular through B, thet meet at point C(4, 3), which is the circumcenter.
Answer: C(4, 3)
Answer:
a. 23.02 %
b. 49%
c. W
Step-by-step explanation:
Solution:-
- A multi-variable function for the percentage of fish in the lake that are intolerant to the pollution is given as:
Where,
W: percentage of wetland
R: percentage of residential area
A: percentage of agriculture
- We are to evaluate the percentage of fish intolerant to pollution in the case where W = 3 , R = 15 , A = 0. We will plug in the values in the modeled function P ( W , R , A ) as follows:
- To determine the maximum percentage of fish that will be intolerant to pollution we will employ the use of critical points. The critical point that is defined by the linear relationship between P and all other parameters ( W, R , A ). The maximum value occurs when W = R = A = 0.
- Hence, the maximum value of the function is 49%.
- The linear relationship between each induvidual parameter ( R, W , A ) and the function ( P ) is proportional in influence. The extent of influence can be quantized by the constant multiplied by each parameter.
- We see that that ( 1.61*W ) > ( 1.41R ) > ( 1.38A ). The greatest influence is by parameter ( W ) i.e the influence of percentage of wetlands .