Hi there!
We are given the equation w² + 7w + 12 = 0, and we are told to solve it. Well, we can first take all the factors of 12 -
1 12
2 6
3 4
Now, take the sum of each factor pair -
1, 12 = 13
2, 6 = 8
3, 4 = 7
Find which factor pair adds up to 7, and we can see that 3 and 4 add up to seven, while also having a product of 12. Therefore, since the whole equation has addition signs, we can factor the equation w² + 7w + 12 into (w + 3)(w + 4) = 0. Next, using the Zero Product Property, we can set each term to zero.
w + 3 = 0
w = -3
w + 4 = 0
w = -4
Therefore, the solution to the equation w² + 7w + 12 = 0 is w = -3, -4. Hope this helped and have a great day!
Answer:
x = -9/5
y = 16/5
Step-by-step explanation:
-3x-2y=-1 first you need to multiply the numerator by 3 so when adding
4x+6y=12 the y's cancel and you get a single variable
3(-3x-2y=-1) —> -9x - 6y = -3 then you add the like terms
4x+6y=12 —> 4x + 6y = 12
(-9x+4x) + (6y - 6y) = (-3 + 12)
-5x = 9 then you divide by -5
x = -9/5
then you plug this in to either equation
4(-9/5) + 6y = 12
-36/5 + 6y = 12 then you add 36/5 to both sides
6y = 96/5 then you divide by 6
y = 16/5
Answer:
Step-by-step explanation:
Answer:
4,923.75ft²
Step-by-step explanation:
The area of the backyard = Length * width \
Area of the backyard = 75 3/4 * 81 1/4
Area of the backyard = 303/4 * 325/4
Area of the backyard = 6,154.6875ft²
If 3/4 of the fence is finished, the area of the finished part is expressed as;
Finished part = 1/5 * 6,154.6875
Finished part = 1,230.9375ft²
Part left unfinished = 6,154.6875-1,230.9375
Part left unfinished = 4,923.75ft²
