Answer:
181 mi^2
Step-by-step explanation:
Dimensions of large rectangle, on the left, are 6 mi by 8 m; area is 48 m^2;
Dimensions of small rectangle, in the middle of the diagram, are 4 mi by 5 mi, or 20 mi^2; area is 20 mi^2.
Dimensions of circle: r = 12 mi; area of quarter circle is (1/4)(3.14)(12 mi)^2, or 113 mi^2.
Total area is 113 mi^2 + 20 mi^2 + 48 mi^2, or 181 mi^2
Answer:
Step-by-step explanation:
x=14 is a vertical line with undefined slope
It has no y intercept and has only x intercept of 14.
Answer:
y = x + 5: x=y−5
2x + y = 17
: x=-1/2y+17/2
Step-by-step explanation:
I do not exactly know what you were asking but I just answered the questions, if that is not what you were looking for tell me so I can try and edit my answer
Answer:
20 pencils
Step-by-step explanation:
4 pens (4) = 16 pens
5 pencils (4) = 20 pencils
This works because 4/5 and 16/20 are the same ratio, 16/20 isn't simplified..
Answer:
y = 2x -33
Step-by-step explanation:
The line segment from the center (6, 4) to the given point (16, -1) is a radius of the circle. It is perpendicular to the tangent. Hence you need to write the equation of a line through point (16, -1) that is perpendicular to the line through that point and (6, 4).
The slope of the radius is ...
... ∆y/∆x = (-1-4)/(16-6) = -5/10 = -1/2
The slope of the tangent is the negative reciprocal of that, so is ...
... m = -1/(-1/2) = 2
In point-slope form, the tangent line through (16, -1) is
... y = m(x -h) +k
... y = 2(x -16) +(-1)
Simplifying, this is ...
... y = 2x -33