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3 years ago

Find the area and perimeter of a rectangle with a length of 3x + 2 and a width of 4x + 3.

Mathematics

2 answers:

vovikov84 [41]3 years ago

7 0

Answer:

Perimeter =<em>14x+10</em>

<em>Area =</em> = $12x^{2}$ +17x+6

Step-by-step explanation:

Area of a rectangle=Length *width

=(3x+2)(4x+3)

=3x(4x+3)+2(4x+3)

= $12x^{2}$ +9x+8x+6

= $12x^{2}$ +17x+6

Then find x using quadratic equation and substitute the values

Perimeter of a rectangle =2(length +width)

=2(3x+2+4x+3)

=6x+4+8x+6

=<em>14x+10</em>

<em>If you have any problem just ask me</em>

bekas [8.4K]3 years ago

4 0

<em>Answer:</em>

170ft^2

The area is 170ft^2.

You might be interested in

Find the diagonal of the rectangular solid with the given measures.

Vikki [24]

Answer:

Step-by-step explanation:

Diagonal = $\sqrt{2^{2} +3^{2}+6^{2} } =\sqrt{49} =7$

6 0

3 years ago

Question

mixer [17]

The intervals are given as follows:

In range notation: [-282, 20,320].

In set-builder notation: {x|x ∈ ℝ, -282 <= x <= 20,320}

<h3>What is the range of elements notation for interval?</h3>

The range of elements notation for interval is given by:

[a,b].

In which:

a is the smallest value.

b is the greatest value.

In this problem these values are given by:

a = -282, b = 20,320.

Hence the interval in range notation is given by:

[-282, 20,320].

<h3>How to write the interval in set-builder notation?</h3>

The same interval can be written as follows, using set-builder notation?

{x|x ∈ ℝ, a <= x <= b}

Hence, for the situation described in this problem, the set-builder notation for the values is:

{x|x ∈ ℝ, -282 <= x <= 20,320}

More can be learned about notation of intervals at brainly.com/question/27896097

#SPJ1

5 0

2 years ago

Factor f(x) = 4x2 + 11x? - 104x + 105 into linear factors given that – 7 is a zero of f(x).

ioda

Answer:

f(x) = 4x + 11x2 - 104x + 105 = (x - 3)(x + 7)(4x - 5)

Step-by-step explanation:

f(x) = 4x^3 + 11x2 - 104x + 105

has the coefficients {4, 11 -104, 105}. We perform synthetic division using the given -7 as divisor:

-7 / 4 11 -104 105

-28 119 -105

-----------------------------------

4 -17 15 0

Since the remainder is zero (0), we have shown that -7 is a zero of f(x). The coefficients of the quotient (above) are {4, -17, 15}. Let's try factoring the corresponding polynomial again using synthetic division. Start out by using 5 as divisor and determining whether or not the remaindeer is zero:

5 / 4 -17 15

20 15

-------------------------

4 3 30 No, the remainder is 30 and so 5 is not a

root of this quadratic. Try the divisor 3 instead:

3 / 4 -17 15

12 -15

---------------------------

4 -5 0 Yes, the remainder is 0 and so 3 is a root.

Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:

f(x) = 4x + 11x2 - 104x + 105 = (x - 3)(x + 7)(4x - 5). Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.

8 0

3 years ago

The equation for a circle is x^2 - 8x + y^2 -8 =0. what is the equation of the circle in standard form?

yKpoI14uk [10]

You have to complete the square on this to get it into standard form of a circle. Move the 8 over to the other side because that's part of the radius. Group together the x terms, take half the linear term which is 8, square it and add it in to both sides. Half of 8 is 4, 4 squared is 16, so add in 16 to both sides. I'll show you in a sec. You don't need to do anything to the y squared term. This just means that the center of the circle does not move up or down, only side to side, right or left. Here's your completing the square before we simplify it down to its perfect square binomial. $( x^{2} -8x+16)+ y^{2} =8+16$ . Now break down the parenthesis into the perfect square binomial and do the addition of the right: $(x-4) ^{2} + y^{2}=24$ . This is the standard form of a circle that has a center of (4, 0) and a radius of $\sqrt{24}$

8 0

3 years ago

Miranda found 4 pieces of an ancient ceramic bowl.

Fofino [41]

Answer:

There are many variables to determine if you have all the complete pieces some are the following:

1.- bowl size

2.- the way it broke

3.- the size of the pieces

4.- if the pieces can fit together

5.- if the bowl paint has the same figures

This is important to determine, since if they do not have these requirements, you can find different pieces of different bowls, which will make the pieces never coincide with each other.

7 0

3 years ago