Distance formula = √(x2-x1)^2 + (y2-y1)^2
so
√(2-(-4))^2 + (0-1)^2
= √(6)^2 + (-1)^2
= √36 + 1
= √37
Remember you can do anything to an equation as long as you do it to both sides
expand by foiling or distributing
4x²-19x-5=-43x-41
add 43x to both sides and add 41 to both sides
4x²+24x+36=0
factor
facotr out of 4
4(x²+6x+9)=0
factor inside
what 2 numbers multiply to get 9 and add to get 6?
3 and 3
4(x+3)(x+3)=0
set to 0
x+3=0
x=-3
x=-3 is answer
The <em><u>correct answer</u></em> is:
She can make 2 loaves of bread and 4 batches of muffins.
Explanation:
Let b represent bread and m represent muffins.
The equation for the amount of flour she needs is 3.5b+2.5m=17.
The equation for the amount of sugar she needs is 0.75b+0.75m=4.5.
To solve this, we will want to eliminate one of the variables. To do this, we will make the coefficients of one of the variables the same. If we multiply 2.5 by 0.3, we get 0.75; this is what we will do to the first equation:

She can bake two loaves of bread.
Substituting 2 for b in the first equation, we have
3.5(2)+2.5m=17
7+2.5m=17
Subtract 7 from each side:
7+2.5m-7=17-7
2.5m=10
Divide both sides by 2.5:
2.5m/2.5 = 10/2.5
m = 4
She can bake 4 batches of muffins.
12/18
6/9
2/3
Simply in common factor you know and keep doing it
12/18
BCD:6
2/3