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!
The expression that we need to get is:
So the correct option is the second one.
<h3>Which expression gives the number of gallons of stain Bradley will need?</h3>
We know that 1 gallon is enough to cover 200 ft².
We have two rectangular areas, one of:
23 feet by 10.4 feet, and other of 10.5 feet by 7.2 feet.
Then the total area is:
A = (23 ft)*(10.4 ft) + (10.5ft)*(7.2 ft)
The number of gallons needed is given by the quotient between the area that we want to cover, and the area that covers one gallon, so the expression is:
So the corerect option is the second one.
If you want to learn more about algebraic expressions:
brainly.com/question/4344214
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Answer:
1107.0213 cm
Step-by-step explanation:
Assuming this gutter is half a cylinder,
Volume of half a cylinder = 0.5(πr²l)²
where, Volume = 20l, π = 3.142, r = 0.5(11.5) and l = ?
But, the other units are in cm while the Volume is in liters, so let's convert the liters to cm³
It would be easier to convert the liters to m³ then to cm³ rather than converting directly. So,
1000 L = 1 m³
1 L = ?
1 ÷ 1000 = 0.001 m³
1 m³ = 1,000,000cm³
0.001 m³ = ?
0.001 x 1,000,000 = 1000 cm³
So, if 1 L = 1000 cm³
20 L = ?
20 x 1000 = 20,000 cm³
Thus, 20,000 = 0.5(3.142 x 0.5(11.5) x l)
20,000 = 0.5(3.142 x 5.75 x l)
20,000 = 18.0665l
Make l the subject and divide both sides by 18.0665
length = 1107.0213 cm
Answer:
Step-by-step explanation:
the volume of a cylinder is given by:
and the volume of a cone is given by:
since both have the same height and radius, we can solve each equation for 
(because this quantity is the same in both figures) and then match the expressions we find:
from the cylinder's volume formula:
and from the cone's volume formula:
matching the two previous expressions:
we solve for the volume of a cone 
:
substituting the value of the cylinder's volume 
<span>I really don't kno but if you use quizzlet it will have the answer you are looking for</span>
