Answer:
x=3
Step-by-step explanation:
x^2 = 6x - 9
Subtract 6x from each side
x^2 -6x = -9
Add 9 to each side
x^2 -6x+9 = 0
Factor
what 2 numbers multiply to 9 and add to -6
-3*-3 = 9
-3+-3 =-6
(x-3)(x-3) = 0
Using the zero product property
x-3 =0 x-3=0
x=3 with multiplicity 2
Answer:
48 cm²
Step-by-step explanation:
The copper part is two equal triangles, find a triangle's area by counting squares and multiply by two.
Total copper=(Triangle area)(2)
=b(h)(½)(2)
=b(h)
=(6)(8)
=48 cm²
For problems like this we can use algebra to help us, the farenheight 6 hours ago was:
(2xt)-6=-20
We have to balance the sides out, first we minus 6
2xt=-26
Now we can divide by 2
t=-13
We now know the temperature 6 hours ago was -13
Answer:
Refer to the picture above
Answer:
1). 9 red 6 fancy 2). 50 shirts 20 pants 3). 62 purple 31 red 4). 19 dimes 9 quarters
Step-by-step explanation:
Most are systems of equations. So, they will have more than one equation.
1). x (Red wrapping paper) y (fancy print paper)
x + y = 15
2x + 4y = 42
Solved: x = 9 y = 6
2). x (shirts) y (pants)
x + y = 70
12x + 30y = 1200
Solved: x = 50 y = 20
3). x (purple) y (red)
I ended up dividing 93 by 3 and then multiplying it by 2 for purple and keeping the other third for red. Not quite sure how to fit this into an equation, its just simple math.
Solved: x = 62 y = 31
4). x (dimes) y (quarters)
.10x + .25y = 4.15
x = y - 10
Solved: x = 19 y = 9