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2 years ago

Can someone help me with and and can you please write how you got it so I can understand

Mathematics

2 answers:

EastWind [94]2 years ago

8 0

Answer:

12x + 4

Step-by-step explanation:

ok so a rectangle has 4 sides, 2 of which are called lengths, and 2 of which are widths.

length = 2x-3

width = 4x+5

the perimenter is the total of the 4 sides.

2(2x-3) = 4x-6 (the total for lengths)

2(4x+5) = 8x+10 (the total for widths)

add the 2 together:

12x+4

vekshin12 years ago

3 0

Answer:

Step-by-step explanation:

First, we need to know the formula of calculating the perimeter

The formula is <em>2(Length) + 2(Width) = Perimeter</em>

The length is <em>2x - 3</em>

The width is <em>4x + 5</em>

Now fill in the known dimensions in the formula

<em>2(2x - 3) + 2(4x + 5)= perimeter</em>

This expression can be used to represent the perimeter of Rectangle ABCD, though (depending on the teacher) it is not simplified.

We remove the brackets by multiplying the number that's outside the brackets by the numbers or figures inside.

hence, <em>4x - 6 + 8x +10 = the perimeter</em>

Note: <u>A negative multiplied by a negative equals a positive. A positive multiplied by a negative and vice versa equals a negative. A positive multiplied by a positive equals a positive.</u>

We can now simplify further by adding <em>like terms.</em> i.e, x + x, and integers + integers.

<em>4x + 8x - 6 + 10 = the perimeter</em>

<em>12x + 4 = the perimeter</em>

The perimeter can be represented by the expression, <em>12x + 4</em>

<em>Or (depending on the teacher,) </em><em>2(2x - 3) + 2(4x + 5)= </em>

You might be interested in

Find point G on AB such that the ratio of AG to GB is 3:2

Alexxx [7]

The point G on AB such that the ratio of AG to GB is 3:2 is; G(4.2, 2)

How to partition a Line segment?

The formula to partition a line segment in the ratio a:b is;

(x, y) = [(bx1 + ax2)/(a + b)], [(by1 + ay2)/(a + b)]

We want to find point G on AB such that the ratio of AG to GB is 3:2.

From the graph, the coordinates of the points A and B are;

A(3, 5) and B(5, 0)

Thus, coordinates of point G that divides the line AB in the ratio of 3:2 is;

G(x, y) = [(2 * 3 + 3 * 5)/(2 + 3)], [(2 * 5 + 3 * 0)/(2 + 3)]

G(x, y) = (21/5, 10/5)

G(x, y) = (4.2, 2)

Read more about Line segment partition at; brainly.com/question/17374569

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8 0

1 year ago

PLS HELP MATHH ILL GIVE BRAINLIEST, 5-6TH GRADE MATH

adell [148]

Answer:

It is 9

Step-by-step explanation:

The outlier is the data point that differs significantly from other observations.

7 0

1 year ago

PLEASE ANSWER ASAP!!

Rufina [12.5K]

Answer:

The instantaneous rate of increase of f(x) at $x_{0} = 3$ is 3.
One possible equation of this line is y = 3x - 16.
The line is tangent to the graph of y = f(x). The slope of the line is the same as the instantaneous rate of increase of f(x) at $x_{0} = 3$ .

Step-by-step explanation:

$\begin{aligned}&\lim_{h\to 0}{\frac{f(3+h)-f(h)}{h}}\\ =&\lim_{h\to 0}\frac{1}{h} \cdot [(3^{3} + 3 \times 3^{2}h +3\times 3h^{2} + h^{3})- 4(3^{2} + 2\times 3h + h^{2}) + 2 \\[-1em] &\phantom{\lim_{h\to 0}\frac{1}{h}\cdot []} -(3^{3} -4\times 3^{2} + 2)]\\ = &\lim_{h \to 0}\frac{h^{3} + 5h^{2} +3h}{h}\\=& \lim_{h \to 0}{h^{2}} + \lim_{h \to 0}{5h} + \lim_{h\to 0}{3}\\ =& 3\end{aligned}$ .

$f(3) = 3^{3} - 4\times 3^{2} + 2 =-7$ .

In other words, the graph of y = f(x) passes through the point (3, -7) where $x = 3$ .

The point-slope form of a line in a cartesian plane is:

$y - y_0 = m (x - x_0)$ .

For this line,

$(3, -7)$ is the point on the line, while

$3$ is the slope of the line.

The equation of this line will thus be

$y - (-7) = 3(x - 3)$ .

That's equivalent to

$y = 3x - 16$ .

Refer to the diagram attached. The line touches the graph of y = f(x) at x = 3 without crossing it. The line here is thus a tangent to the graph of y = f(x) at x = 3. The slope of the line represents the instantaneous rate of increase of f(x) at $x_{0} = 3$ .