We can use the points (1, 2) and (3, -4) to solve.
Slope formula: y2-y1/x2-x1
= -4-2/3-1
= -6/2
= -3
Hope This helped! Good Luck!
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>
So
if x is the number she spent on each sister and y is the number she spent on each nephew then
180=3x+2y
she wants to spend 15 dollars more on sisters than nephews
so
x=15+y
solve
we have
180=3x+2y and
x=15+y
subsitute 15+y for x
180=3(15+y)+2y
180=45+3y+2y
180=45+5y
minus 45 both sides
135=5y
divide both sides by 5
27=y
solve for x
x=15+y
x=15+27
x=42
she spent $42 on each sister
The value of c is 
Explanation:
Given that the trinomial is 
We need to determine the value of c such that the trinomial is a perfect square.
The value of c can be determined using the formula,

From the trinomial, the value of b is given by

Substituting the value of b in the above formula, we have,

Squaring both the numerator and denominator, we have,

Thus, the value of c is
which makes the trinomial a perfect square.
It should be D: 35. 14 + 6 = 20. I just multiplied that by two, which equals 40. That means there are 2 sets of 14 and 2 sets of 6. Since there is 10 leftover, I divided both by 2. 7 + 3 = 10. 14 x 2 = 28 + 7 = 35