Answer:
x²+y²-4y-46=0
Step-by-step explanation:
the equation of a circle is in the form (x - a)² + (y - b)² = r², where (a,b) is the center of the circle
the equation is (x - 0)² + (y - 2)² = r², where r is the radius. But r is the distance from (0,2) to (7,3)
the distance from two points is given by r² = (x₁ -x₂)² + (y₁ - y₂)²
r²= (0 - 7)² + (2 - 3)²
r² = 49 + 1 = 50
hence the equation is
(x)² + (y - 2)² = 50
x²+y²-4y+4 = 50
x²+y²-4y-46= 0
Answer:
c) <u>m = 5p-4</u>
Explanation:
Given that function A is : x → +4 → ×2.
A(x) = 2(x+4).
Given that function B is: x → ÷5 → +1.
B(x) = x/5 + 1.
To find the working variables for:
m → Function A → Function B → 2p + 1.
Create this composite function: B(A(x)) = 2(x+4)/5 + 1
Then set x equal to m and solve for the working equation to 2p + 1
_______________
(simplify)
2(m+4)/5 + 1 = 2p + 1
-1 -1
________________
2(m+4)/5 = 2p
÷2 ÷2
___________
(m+4)/5 = p
×5 ×5
_________
(m+4) = 5p
-4 -4
________
<u>m = 5p - 4</u>
Answer:
x = £200
(y = £400)
Step-by-step explanation:
Convert interest rates into decimal format:
3% = 3/100 = 0.03
4% = 4/100 = 0.04
From information given, create 2 equations:
0.03x + 0.04y = 22
0.04x + 0.03y = 20
Rearrange equation 1 to make y the subject:
⇒ 0.03x + 0.04y = 22
⇒ 0.04y = 22 - 0.03x
⇒ y = 550 - 0.75x
Substitute y = 550 - 0.75x into equation 2 and solve for x:
⇒ 0.04x + 0.03(550 - 0.75x) = 20
⇒ 0.04x + 16.5 - 0.0225x = 20
⇒ 0.0175x = 3.5
⇒ x = 200
To find y, substitute found value of x into one of the equations and solve for y:
⇒ 0.04(200) + 0.03y = 20
⇒ 8 + 0.03y = 20
⇒ 0.03y = 12
⇒ y = 400
Answer:
50.27m
2 π r
Step-by-step explanation:
Answer and Explanation:
In the equation y=5x the slope (m) is 5, and the y-intercept is the point (0,0) since there is nothing added or subtracted to the 5x, and thus b = 0.
