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Alchen [17]
3 years ago
5

If 1/2 gallon of paint covers 1/4 of a wall then how much paint is needed to cover the entire wall

Mathematics
1 answer:
AleksAgata [21]3 years ago
5 0

Answer:


Step-by-step explanation:


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Arrange the parabolas represented by the equations in increasing order with respect to the y-values of their directrixes.
Alexus [3.1K]
(x-h)^2=4P(y-k), vertex is (h,k)
P is distance from vertex to directix
remember to subtract P from the y value of the vertex (p-k) and that y value is the directix, y=p-k

nut
ok so one way is to just graph them on a graphing utility
remember if the graph opens up, then the directix is below that
or we can convert to 4P(y-k)=(x-h)^2 form where P is distance from directix

I will only convert the 1st one fully, you should be able to do the rest

1. y=-x^2+3x+8
multiply both sides by -1 since we don't like the x^2 term negative
-y=x^2-3x-8
add8 to both sides
-y+8=x^2-3x
take 1/2 of linear coeficient and square it and add to both sides
-3/2=-1.5
 (-1.5)^2=2.25
-y+10.25=x^2-3x+2.25
factor perfect square
-y+10.25=(x-1.5)^2
force undistribute -1 in left side
(-1)(y-10.25)=something, we don't care anymore for now
factor out a 4 in -1
4(-1/4)(y-10.25)

k=10.25
p=-1/4=-0.25
directix=k-p=10.25-(-0.25)=10.5
directix is y=10.5

basically completee the square with x and find P by force factoring a 4 out

2.  directix: y=-1.75

3. directix: y=1.5

4. directix: y=17.25

5. d: -37.5

6. d: 9.25

7. d=2.625

order them yourself

7 0
2 years ago
The permiter of a square must be less than 160 feet. What is the maximum length of a side in feet?
ale4655 [162]

Answer:

39 ft

Step-by-step explanation:

40 feet would have been if the perimeter was 160ft. so since it has to be less than 160 the maximum (whole number) length of a side would be 39.

3 0
3 years ago
Read 2 more answers
Winslow buys 1.2 pounds of bananas. The bananas cost $1.29 per pound. To the nearest cent, how much does Winslow pay for the ban
Tems11 [23]
1.584 and I believe that you can round that yourself 
7 0
3 years ago
Read 2 more answers
What is 1/7 divided by ? = 14
user100 [1]
First you multiply the numbers you do have to get the number your looking for 1/7•14=2 and 2divided by 1/7=14 so 2 would be your answer
4 0
3 years ago
Which expression represents "5 times the sum of 4 and y?"
Mkey [24]

Answer:

5 x (4+y)

Step-by-step explanation:

8 0
3 years ago
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