<span> In a </span>regular polygon <span>all </span>sides have the same<span> length, therefore:
x</span>² + 8x - 52 = x² - 2x + 8
x² - x² + 8x + 2x = 8 + 52
10x = 60
x = 60/10
x = 6
Answer:
(- 1, 4 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3 → (1)
y = x + 5 → (2)
Substitute y = x² + 3 into (2)
x² + 3 = x + 5 ← subtract x + 5 from both sides
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 2 : y = 2 + 5 = 7 ⇒ (2, 7 )
x = - 1 : y = - 1 + 5 = 4 ⇒ (- 1, 4 )
You would add the like terms by changing them over the equals sign
6r+18=-26+6r
subtract 6r from both sides
18=-26
which is false
No Solution
For direct variation y varies directly with x, then we use equation y = kx
Where k is the constant of proportionality
Given: Y equals 2 when X equals 3
We plug in 3 for x and 2 for y and solve for k
y = kx
2 = k(3)
Divide both sides by 3
Now we plug in 2/3 for k
Given x=-0.5 and find out y
y=-0.33
the value of y is -0.33 when x=-0.5
