Answer:
.88v or v
Step-by-step explanation:
Rewrite the following equation into slope intercept form 3x - 4y = 20 and identify the slope and y - intercept.
2 answers:
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Hello!
The parentheses indicate multiplication; the 18(18) on the left side of the equation is 18 * 18. On the right side of the equation, you have x(x + 15); to simplify this, you would distribute the x--that means multiply each term inside the parentheses by x. This is the Distributive Property:
. Let's do that.
Now, you can subtract 324 from each side to set the equation equal to 0.
This is a quadratic equation; to solve it, we may factor (if the equation is able to be factored) or we can use the Quadratic Formula. Let's see if we can factor. To factor, find two numbers whose sum is 15 and whose product is -324. Since 324 is negative, we know one of the numbers is negative and one of the numbers is positive (a negative times a positive is always negative), and that means one of the numbers is greater than 15...
27 - 12 = 15
27 * -12 = -324
The factored polynomial is: (x + 27)(x - 12).
To find its solutions, set the factors equal to 0 and solve for x.
x + 27 = 0
x = -27
x - 12 = 0
x = 12
Answer:
The solution of is -27 and 12.
The parentheses indicate multiplication; the 18(18) on the left side of the equation is 18 * 18. On the right side of the equation, you have x(x + 15); to simplify this, you would distribute the x--that means multiply each term inside the parentheses by x. This is the Distributive Property:
Now, you can subtract 324 from each side to set the equation equal to 0.
This is a quadratic equation; to solve it, we may factor (if the equation is able to be factored) or we can use the Quadratic Formula. Let's see if we can factor. To factor, find two numbers whose sum is 15 and whose product is -324. Since 324 is negative, we know one of the numbers is negative and one of the numbers is positive (a negative times a positive is always negative), and that means one of the numbers is greater than 15...
27 - 12 = 15
27 * -12 = -324
The factored polynomial is: (x + 27)(x - 12).
To find its solutions, set the factors equal to 0 and solve for x.
x + 27 = 0
x = -27
x - 12 = 0
x = 12
Answer:
The solution of
Answer:
7.21 units
Step-by-step explanation:
The shortest length needed to connect the house to the existing pipeline is the perpendicular distance between the location of the house (2,9) and the line y = 2/3x - 1.
The perpendicular distance (d) between a point () and the line Ax + By + C = 0 is given as:
The line is given by y = 2/3 x - 1; 2/3x - y - 1 = 0. The point = (2, 9)
hence A = 2/3, B = -1, C = -1, . Therefore: