Answer:
○ C
Explanation:
Accourding to one of the circle equations, 
the centre of the circle is represented by 
Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY <em>REALLY</em> ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:
Pythagorean Theorem
Sinse we are dealing with <em>length</em>, we only desire the NON-NEGATIVE root.
Distanse Equation
![\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-5 - 3]^2 + [3 + 3]^2} = r \hookrightarrow \sqrt{[-8]^2 + 6^2} = r \hookrightarrow \sqrt{64 + 36} = r; \sqrt{100} = r \\ \\ \boxed{10 = r}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E2%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E2%7D%20%3D%20d%20%5C%5C%20%5C%5C%20%5Csqrt%7B%5B-5%20-%203%5D%5E2%20%2B%20%5B3%20%2B%203%5D%5E2%7D%20%3D%20r%20%5Chookrightarrow%20%5Csqrt%7B%5B-8%5D%5E2%20%2B%206%5E2%7D%20%3D%20r%20%5Chookrightarrow%20%5Csqrt%7B64%20%2B%2036%7D%20%3D%20r%3B%20%5Csqrt%7B100%7D%20%3D%20r%20%5C%5C%20%5C%5C%20%5Cboxed%7B10%20%3D%20r%7D)
Sinse we are dealing with <em>distanse</em>, we only desire the NON-NEGATIVE root.
I am joyous to assist you at any time.
Answer:
Step-by-step explanation:
Let x = width in ft
y= length in ft
Given, y = 3+2x ----(1)
Area = xy = 77 ft2
Using (1) to replace y
3x+2x2=77
2x2+3x-77=0
Solve this quadratic equation, a=2, b=3, c=-77
x=(-3(+or-)sqrt(32-4*2*(-77)))/(2*2)
= (-3 (+ or -) sqrt(9+616))/4
= (-3 (+ or -) sqrt(625))/4
= (-3 (+ or -) 25)/4
x = (-3+25)/4 or x = (-3-25)/4
= 22/4 = -28/4
x = 5.5 x = -7
x is the length and can't be negative. so, proceed with x= 5.5
xy = 77
y = 77/5.5 = 14
Dimensions of the rectangle are 5.5ft and 14 ft
(Check: 2* 5.5 + 3 = 11+3 = 14)
Answer:
x = -4
Step-by-step explanation:
y = 3x - 1
Replace all instances of Y into the second quation.
2x - (3x-1) = 5
2x -3x +1 = 5
-x = 4
x= -4
Answer:
Step-by-step explanation:
B) the sum is linear and the product is quadratic
D) the sum has one y-intercept and the product has two x-intercepts
