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3 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]3 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

vekshin13 years ago

3 0

Answer:

2(2x - 3) + 2(4x + 5)= OR 12x + 4

Step-by-step explanation:

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

The formula is 2(Length) + 2(Width) = Perimeter

The length is 2x - 3

The width is 4x + 5

Now fill in the known dimensions in the formula

2(2x - 3) + 2(4x + 5)= perimeter

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, 4x - 6 + 8x +10 = the perimeter

Note: 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.

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

4x + 8x - 6 + 10 = the perimeter

12x + 4 = the perimeter

The perimeter can be represented by the expression, 12x + 4

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

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Jerry and Carlos each have $1,000 and are trying to increase their savings. Jerry will keep his money at home and add $50 per mo

8_murik_8 [283]

Answer:

Jerry has a better saving plan for increasing his savings than Carlos

Step-by-step explanation:

Jerry's initial principal = $1000

Carlos initial principal = $1000

Jerry add $50 monthly this means that in 6 months he has

$50 x 6 = $300 as interest

This means that at the end of 6 months, Jerry would have $1,300 dollars at home

For Carlos the interest rate is 4% per year compounded monthly

If we calculate his interest per month we have:

Interest = 1000 x 4/(100 x 12) = $3.33

2nd month = 1003.33 x 4/(100 x 12) = $3.34

3rd month = 1006.68 x 4/(100 x 12) = $3.36

4th month = 1010.04 x 4/(100 x 12) = $3.37

5th month = 1013.41 x 4/(100 x 12) = $3.38

6th month = 1016.79 x 4/(100 x 12) = $3.40

At the end of 6 month, Carlos would have $1020.18 in the bank

Hence, Jerry has a better saving plan for increasing his savings than Carlos

8 0

3 years ago

Use the elimination method to sole the system of equations. choose the correct ordered pair.

Crank

(X,Y) = (4,0)

That’s what I got.

8 0

3 years ago

Read 2 more answers

Find the volume of a cylinder with a radius of 3cm and a height of 7 cm.

svetoff [14.1K]

Answer:

The volume of the cylinder ≅ 197.82 $cm^{2}$

Step-by-step explanation:

The volume of a cylinder is equal to the area of the base times the height. We know the radius, therefore we can find the area of the base. The formula for the volume of the cylinder is as follows:

V = π $r^{2}$ $h$

(now substitute the values of "r" and "h", and get...)

V = π $r^{2}$ $h$

$V = (3^{2} )(7)$ x π

V = (9)(7)π

V = 63π

V ≅ 197.82 $cm^{2}$

7 0

3 years ago

Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4). Include your work in

Ymorist [56]

<h2>Greetings!</h2>

Answer:

y = $\frac{-2}{3}$ x - 4

Step-by-step explanation:

Firstly, you must find the gradient. This is found using the following formula:

$\frac{y2 - y1}{x2 - x1}$

Make sure that the x2 and y2 values are in the same coordinate set:

Let's set (-8 , 2) as y1 and x1, y1 = 2 and x1 = -8

That means that (1 , -4) is y2 and x2, y2 = -4 and x2 = 1

Plug the values in:

$\frac{-4-2}{1 - - 8}$

Simplified:

$\frac{-6}{9}$

Or -2/3

So the gradient is $\frac{-2}{3}$

Now, using the following equation of a line formula:

y - y1 = m(x - x1)

Where m is the gradient and y1 and x1 are two coordinates, we can plug these values in:

y1 = 2

x1 = -8

m = -2/3

y - 2 = 2/3(x - - 8)

We need to get rid of the two third fraction so we multiply the whole equation by three to cancel it out:

y * 3 = 3y

-2 * 3 = -6

-2/3 * 3 = -2

3y - 6 = -2(x - - 8)

The negative and the subtract makes it a positive:

3y - 6 = -2(x + 8)

Now we can multiply the bracket out:

-2 * x = -2x

8 * -2 = -18

So:

3y - 6 = -2x - 18

The slope form is usually:

y = mx + c

So we need to move the -6 over to the other side making it a positive 6:

3y = -2x -18 + 6

3y = -2x -12

Divide all the equation by three to get 1y:

y = $\frac{-2}{3}$ x - 4

Which is the equation!

<h2>Hope this helps!</h2>

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3 years ago

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Use the quadratic formula to find the vertex of y=3x^2+14x-24. show your work

wel

Answer:

-7/3

Step-by-step explanation:

vertex = -b/2a

a = 3

b = 14

-14/2(3)

-14/6

-7/3

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3 years ago