Answer:
<em>Option B</em>
Step-by-step explanation:
We can approach this problem through the formula for distance between points, but I can think of a more easier approach. This line forms a triangle with the x and y axis, a right triangle with the legs being 2 and 1 units. The line with which we must find the distance of acts as the hypotenuse of this triangle, so let us apply Pythagorean Theorem to solve for the length of the line;

<em>Solution; Option B</em>
Step-by-step explanation:
(x-2)²+(y+5)²=25
option C (3.4,-0.2)
LHS= (3.4-2)²+(-0.2+5)²
= (1.4)²+(4.8)²
= 1.96+23.04
= 25
option E(6,-2)
LHS= (6-2)²+(-2+5)² = 4²+(-3)² = 16+9 = 25
16/2=8
8 * 8 = 64
64* 3.14 = 200.96
200.96 * 60 = 12057.6
I believe that is the right answer but i am not 100% sure let me know if i was wrong
3x + 2x = 180
5x = 180
180 divided by 5 = 36
X = 36 degrees
Answer:
- x = 0 or 1
- x = ±i/4
- x = -5 (twice)
Step-by-step explanation:
Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.
1. x^2 -x = 0
x(x -1) = 0 . . . . . x = 0 or 1
__
2. 16x^2 +1 = 0
This is the "difference of squares" ...
(4x)^2 - (i)^2 = 0
(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)
__
3. x^2 +10x +25 = 0
(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2