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3 years ago

F (x) = 2 |x-5|Label the Vertex and two other points

Mathematics

1 answer:

tamaranim1 [39]3 years ago

7 0

I took this class last year... how could I have forgotten all of this???

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Martin wants to build an additional closet in a corner of his bedroom. Because the closet will be in a corner, only two new wall

Gekata [30.6K]

The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.

The equation for f(l) is: $f(l) = 1.5l$ .
The desired length and width are 8m and 4m

Given that:

$l = 2w$

Divide both sides by 2

$w = 0.5l$

Equation of f(l)

The sum of the length and the width is represented as: f(l).

So, we have:

$f(l) = l + w$

Substitute $w = 0.5l$

$f(l) = l + 0.5l$

$f(l) = 1.5l$

See attachment for the graph of f(l)

The desired dimension

From the question, we understand that the total length is 12m.

This means that:

$f(l) = 12$

So, we have:

$1.5l = 12$

Divide both sides by 1.5

$l = 8$

Recall that:

$w = 0.5l$

$w = 0.5 \times 8$

$w = 4$

Hence, the desired length and width are 8m and 4m, respectively.

Read more about linear equations at:

brainly.com/question/2263981

8 0

3 years ago

Need step by step detailed answer

kolezko [41]

Answer:

y = -4x - 4

Step-by-step explanation:

If we have two lines in slope intercept form as

$y = m_1x + c_1 \text{ and}\\y = m_2x + c_2\\$

then the product of the slopes $m_1m_2 = -1$

In other words, $m_2 = -\frac{1}{m_1}$

We have the first line as

$y = \frac{1}{4}x + 5\\\\$

The slope of this line is $\frac{1}{4}$

The slope of a perpendicular line will be the negative of the reciprocal of this line

Reciprocal of 1/4 is 4

So slope of perpendicular line is -4 which implies

y = -4x + c

We have to determine c

Since the line passes through (-3, 8), plug in these values for x and y in the equation and solve for c

8 = (-4)(-3) + c

8 = 12 + c

c = -4

So the equation of the perpendicular line is y = -4x - 4 (Answer)

It is always a good idea to plot these graphs and see if they fit the data provided

The attached plot shows the two graphs and you can see they are perpendicular to each other and the perpendicular line(the answer) passes through point (-3,8)

4 0

1 year ago

(3x – 1)(2x +9) Multiplying polynomials

ad-work [718]

We can use the FOIL method to simplify.

= (3x – 1)(2x + 9)

= (3x * 2x) + (3x * 9) + (-1 * 2x) + (-1 * 9)

= 6x + 27x + (-2x) + (-9)

= 33x - 11

Hope This Helped! Good Luck!

8 0

3 years ago

Read 2 more answers

Which of the expressions below can be factored using the difference of squares method? A. 25x2 - 64y2 B. 17x2 + 23y2 C. 17x2 - 2

denis-greek [22]

Difference of squares method is a method that is used to evaluate the difference between two perfect squares.

For example, given an algebraic expression in the form:
$x^2-y^2$
can be factored as follows:
$(x-y)(x+y)$

From the given expressions, the only expression containing two perfect squares with the minus sign in the middle is the expression in option A.
i.e. $25x^2-64y^2$
which can be factored as follows:
$(5x-8y)(5x+8y)$ .

7 0

2 years ago

Exactly a year ago, the volume of Arlington lake was 1,620,757 liters. Right now, it’s volume is 382,403 liters greater. How man

ANTONII [103]

Answer:

Step-by-step explanation: 2003160

If you add them up, you get 2003160.

So the lakes holds 2003160 LITERS of water to the current date.

Please mark Brainliest I need it

3 0

2 years ago

Read 2 more answers