I know I’ve asked this question before, but I could really use an explanation on how you get the points.

Mathematics

1 answer:

Ivahew [28]4 years ago

3 0

The formula for an absolute value equation is:
y = a l x - h l + k
(h , k) is the vertex

In the equation given, y = l 3 - x l + 1 can also be written as y = l x - 3 l + 1

The h is 3 and the k is 1 so the vertex is (3 , 1), this is one point.

The equation is positive so you know it will face up.

Another point can be found by replacing x with 0, y = l 0 - 3 l + 1
y = l - 3 l + 1
y = 3 + 1
y = 4
(0 , 4)

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Suppose that a rectangle has an area of 54 square meters. Express the perimeter P as a function of the length x of one of the si

Lapatulllka [165]

Answer:

$P(x) = 2\left(x+\dfrac{54}{x}\right)$

Step-by-step explanation:

The area of the rectangle can be written as:

$A = x*h$

here, x is one side length, and h is the other side length. This area is said to be equal to 54 square meters.

$54 = x*h$

The perimeter of a rectangle can be written as:

$P = 2x+2h$

To express perimeter only in terms of x (in other words making it a function P(x)). we need to replace h. And this can be done by using the equation of area that we derived earlier.

$54 = x*h$

$h=\dfrac{54}{x}$

now we can substitute this 'h' into our equation of the perimeter.

$P = 2x+2\left(\dfrac{54}{x}\right)$

$P = 2\left(x+\dfrac{54}{x}\right)$

and voila! we have expressed P in terms of x only.

this can be written as P as a function of x as:

$P(x) = 2\left(x+\dfrac{54}{x}\right)$

6 0

4 years ago

Solve for x. Show your work.

puteri [66]

So, these are actually pretty simple once you learn the equality used to solve for "x" and when to implement this method. You can use this equality to solve for a segment "x" anytime that two secant lines cutting through a circle come from the same point outside the circle.

Secant: by geometric definition is just a straight line that cuts a curve into multiple pieces.

I did one of them for you hopefully you can use my work for "a" to help you solve for "b". For a. I got x=7.