Answer:
Step-by-step explanation:
8^2 + 15^2 = ?
64 + 225 = 17^2
289 = 289
Strictly speaking, x^2 + 2x + 4 doesn't have solutions; if you want solutions, you must equate <span>x^2 + 2x + 4 to zero:
</span>x^2 + 2x + 4= 0. "Completing the square" seems to be the easiest way to go here:
rewrite x^2 + 2x + 4 as x^2 + 2x + 1^2 - 1^2 = -4, or
(x+1)^2 = -3
or x+1 =i*(plus or minus sqrt(3))
or x = -1 plus or minus i*sqrt(3)
This problem, like any other quadratic equation, has two roots. Note that the fourth possible answer constitutes one part of the two part solution found above.
Answer:
y=2/3x+4.3
Step-by-step explanation:
y=mx+c
(5-3)/(1--2)
2/3= gradient
y=2/3x +c
5=2/3(1)+c
-2/3
4.3=c
Answer:
x = 15
Step-by-step explanation:
given that y varies directly with x
mathematically we can express this as
y = k x , where k is a constant
step 1: find k
given x = 3 and y = 21
y = k x
21 = k (3)
k = 7
hence the equation becomes
y = 7 x
when y = 105,
105 = 7x
x = 105 / 7 = 15
