Answer:
hope this helps you. look it once
y-intercept: Let x = 0 and solve for y:
(x-1)^2 + (y-2)^2 = 10 => (-1)^2 + y^2 - 4y + 4) = 10
=> 1 + y^2 - 4y + 4 = 10, or y^2 - 4y -5 = 0
The solutions of this quadratic are y = 5 and y = -1.
Thus, the y-intercepts are (0, 5) and (0, -1).
Now find the x-intercepts: Let y = 0 and solve the resulting equation for x:
(x-1)^2 = 10 - (-2)^2, or (x-1)^2 = 10 - 4 = 6.
Taking the sqrt of both sides, x - 1 = plus or minus sqrt(6), or:
x = 1 +√6 and x = 1 - √6, so that the x-intercepts
are (1+√6, 0) and (1-√6, 0).
Factor Tree
54
6 × 9
2 × 3 3 × 3
54 = 2 × 3 × 3 × 3 = 2 × 3³
2|54
3|27 → 54 = 2 × 3 × 3 × 3 = 2 × 3³
3|9
3
I'm not sure about ladder method... is it the same as upside down division.
Begin with a prime number that will divide into the number.
Answer:
hello
Step-by-step explanation:
please provide your textbook because i dont have it
Answer:
x = 3.7
Step-by-step explanation:
Reference angle = 24°
Hypotenuse = 4
Side adjacent to reference angle = x
We would apply the trigonometric ratio, CAH, which is:
Cos 24 = adj/hyp
Cos 24 = x/4
4 × Cos 24 = x
x = 3.65418183 ≈ 3.7 (to nearest tenth)
