Perimeter = 93 x 2 + 63 x 2 = 186 + 126 = 312 feet
All points along the circle with be the distance of the radius from the center...so the radius can be found using the Pythagorean Theorem..
r^2=(4-1)^2+(6-2)^2
r^2=9+16
r^2=25
r=5
The equation of the circle can be expressed as:
r^2=(x-h)^2+(y-k)^2 where (h,k) correspond to the center of the circle, (2,1) in this case.
(x-2)^2+(y-1)^2=25
if you wanted it in a more standard form...
(y-1)^2=25-(x-2)^2
(y-1)^2=25-x^2+4x-4
(y-1)^2=-x^2+4x+21
y-1=(-x^2+4x+21)^(1/2)
y=1(+/-)(-x^2+4x+21)^(1/2)
59 is D
because with the point (-3,7) you substitute it into the equation, making it: 7=4x+b. solve for b. then you have y=4x+19. work out the algebra in the possible choices and whatever equals y=4x+19 will be the answer. in this case, its D.
60 is C
same as above, you do the algebra of the equation. bring the one over after doing distribution with the 4 and voila!
61 is A
a relatively easy one, all you do is the the slope -4 where m goes, and 3 where b goes. y= -4x+3
62 is C.
this one requires more work.
chose one of the points, in this case (2,7) and put them into the equation.
but wait, you need a slope!
you get that use the formula (y2-y1)/(x2-x1) which will be
(7-5)/(2-3) which will be
-2.
now you have y-7= -2(x-2)
voila!
63 is C. y= 1/2x+3
64 is B. (3, -5)
66 is B. negative. the line goes \ ( not / which is positive)
67 would be A. because it is positive and the I and the E are in the right places.
70 is C. 2/3. as before, remember we can but the points into this equation and have (6-4)/(3-0) which = 2/3
71 is D. y= 3x+10
72 is C. a third degree monomial
73 can't read
74 can't read
75 can't read.
Answer:
Part A: 2k(2c2+5(2)-8c-20)
Part B: sorry i don't know how to do this part
Step-by-step explanation:
Part A, you divide each number by 2 first so you get a simplified version of each number. Then, you will quickly realize that the varible k is similar in all of the numbers then you remove that and put it with the 2 outside the (). Hope you understood my explination.
Answer:
CA=17
Step-by-step explanation:
From given picture we see that A and C are the mid points of sides QR and QS respectively.
We know that line joining mid points of the two sides of triangle is always half of the length of the third side.
So that means:
2*CA=SR
2(3x-1)=5x+4
6x-2=5x+4
6x-5x=4+2
x=6
plug value of x into CA=3x-1
CA=3*6-1=18-1=17
Hence final answer is CA=17
