Answer:
For 3x + 5y = -13 the answer is x= -13/3 + 5y/3
and for 2x + 15y=3 the answer x= 1.5 + (-15y/2)
Step-by-step:
For 3x+5y=-13 you have to add 5y on both sides. Then you have to divide by 3 on both sides and cancel out the common factor of 3. Then you would get x= 13/3 + 5y/3.
For 2x + 15y=3 you have to subtract 15y on both sides of the equation. You should have 2x=3 + (-15y). Then divide by 2 on both sides. 3 divided by 2 is 1.5 and -15y divided by 2 is -15y/2 since 2 doesn't have the same variable. so the answer should be x= 1.5 + (-15y/2).
By the use of the completing the square method, the maximum height is 3 ±√29/4 + 9 m.
<h3>What is the maximum height of the water?</h3>
The maximum height has been modeled by the use of the equation f(x)= -4x^2 +24x -29. Now we know that f(x)= h so we can write;
h = -4x^2 +24x -29
Now we have;
0 = -4x^2 +24x -29
-4x^2 +24x -29= 0
x^2 - 6x = -29/4
(x - 3)^2 = -29/4 + 3^2
(x - 3)^2 = -29/4 + 9
x = 3 ±√29/4 + 9 m
Learn more about completing the square:brainly.com/question/4822356
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Answer:
The correct option is C....
Step-by-step explanation:
First of all multiply the terms:
(x-6)(x+8)=0
x^2+8x-6x-48=0
Now solve the like terms:
x^2+2x-48=0
Now we will solve this quadratic equation by factoring:
The first terms has coefficient 1. So 1 will be multiplied by the constant term 48.
1*48= 48
Now we have to find out the two values whose product is 48 and whose sum or difference is 2(middle term).
8*6 = 48
8-6 = 2
Now break the middle term:
x^2+8x-6x-48 = 0
Now take the common from the first two and last two terms:
x(x+8)-6(x+8) = 0
(x+8)(x-6)=0
x+8=0 , x-6=0
x= 0-8 , x=0+6
x = -8 , x=6
Thus the solutions we get are: x=6 or x= -8
The correct option is C....
The diameter should be about 4.380550338. The nearest whole number is 4 :)
