Hello :
<span>an equation of the circle Center at the
w(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
In this exercice : (x-3)²+y²=7² ....a =3 and b=0 ( the center is :w(3,0)) ... r=7
The distance between each point in each case is calculated and compared with the length of the radius
1 ) </span>A (-1, 1) : Aw² = (-1-3)²+1² =17..... Aw < r : <span>interior the circle
</span> 2 ) B(10, 0) :Bw² =(10-3)²+0² =49 ......r = Bw :<span>circumference of the circle
</span> 3 ) C(4, -8) :Cw² = (4-3)²+(-8)² =65..... Cw > r : exterior the circle
Answer:
Step-by-step explanation:
Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT
Since VR = length * width and height
VR = 6*x*3
VR = 18x ft³
Also VT = Length *width * Height/2
VT = (7 * x * 4)/2
VT = 28x/2
VT = 14xft³
Since VR = 32 + VT
18x = 32+(14x)
collect like terms
18x-14x = 32
4x = 32
divide both sides by 4
4x/4 = 32/4
x = 8
Volume of the rectangular prism = 18x
Volume of the rectangular prism = 18*8
Volume of the rectangular prism = 144ft³
Volume of the right triangular prism = 14x
Volume of the rectangular prism = 14*8
Volume of the rectangular prism = 112ft³
Answer:
(a) After 5 years what will be his age?
"5 + y" years old
(b) What was his age 6 years back?
"y - 6" years old
(c) His grandfather‘s age is 5 times his age, What is the age of grandfather?
"5y" years old
(d) His father’s age is 6 years more than 3 times his age. What is his father’s age?
"6 + 3y" years old
Note: Ignore the quotation marks, ""
