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

Answers

Answer 1

Answer:

170ft^2

The area is 170ft^2.

Answer 2

Answer:

Perimeter =14x+10

Area         =  =[tex]12x^{2}[/tex]+17x+6

Step-by-step explanation:

Area of a rectangle=Length *width

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

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

                               =[tex]12x^{2}[/tex]+9x+8x+6

                              =[tex]12x^{2}[/tex]+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

                                        =14x+10

Hope you got it

If you have any problem just ask me


Related Questions


[tex] \sqrt{(3 - 4)^{2} + (( - 5) - 1)^{2} } = [/tex]
..........................................​

Answers

Step-by-step explanation:

[tex] \sqrt{(3 - 4) ^{2} + (( - 5) - 1) ^{2} } \\ \sqrt{( 3 - 4) ^{2} + ( - 5 - 1) ^{2} } \\ \sqrt{( - 1) ^{2} + ( - 6) ^{2} } \\ \sqrt{1 + 36} \\ \sqrt{37} [/tex]

Find the coordinates of the midpoint of segment GH with endpoints: G(-2, -8) and H(-3, -12).

Answers

Answer:

midpoint = (-2.5 , - 10)

Step-by-step explanation:

midpoint =( ((x1 + x2)/2) , ((y1+y2)/2)) )

= ( ((-2 + -3)/2) ,(( -8 + -10)/2) )

= ( -2.5 , -10)

+
Name:
Fraction Word Problems
Solve each problem.Answer as a mixed mumber (if possible).
1)
Olivia needed 4 1/6
feet of thread to finish a pillow she was making. If she has 4 times as
much thread as she needs, what is the length of the thread she has?
2.

Answers

16 2/3. 4X4 is 16, and 1/6 X4 is 4/6 simplified to 2/3 so 16 2/3

) An angle exceeds three times its complement by 10°, find it.​

Answers

Answer:

Let the angle be x

then,=x=3(x-90) -10

2x = 280

x = 140

Step-by-step explanation:

plz mark me as brainliest ❤️

(7 − 2) ⎟ 5 2) (3 + 3)2

Answers

Answer:

it should be 3000..let me know if its correct...

Step-by-step explanation:

I just solved the parenthesis numbers first...then multiplied them altogether and multiplied it with the 2...

if its right, can u plz mark me brqinliest? thnx!

write an equivalent expression (x+2)(x-3) by using the distributive property

Answers

Answer:

x(x-6)

Step-by-step explanation:

(x+2)(x-3)

x^2-3x+2x-6

x^2-x-6

x(x-6)

What is the measure of AngleDCF?
19pts

Answers

Answer:

129 degrees.

Step-by-step explanation:

You can see that DCF is a combination of angles DCE and ECF which is 75 and 54. 75+54 would give you 129 degrees.

Conor's house is 3000 m from Oscar's house.

How far apart in cm would they be on a map where 1 cm represents 750 m?

Answers

Answer:

4 cm

Step-by-step explanation:

A ratio shows us the number of times a number contains another number. The distance between Conor's house and Oscar's house on the map will be 4 cm.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that 1 cm on the map represents 750 m in real. Therefore, we can write the ratio as,

Ratio = Length on the map / Length in real = 1cm / 750m

Now, it is also mentioned that Conor's house is 3000 m from Oscar's house. Therefore, the ratio can be written as,

Ratio = Length between the house in map / Length between the house in real = 1 cm /750 m

Length between the house in map = (1 cm × Length between the house in real) / 750 m

Length between the house in map = (1 cm × 3000m) / 750 m

Length between the house in the map = 4 cm

Hence, the distance between Conor's house and Oscar's house on the map will be 4 cm.

Learn more about Ratios here:

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The function f(x) is shown on the graph. If f(x) = 0, what is x?

A: 0 only
B: -6 only
C: -2, 1, or 3 only
D: -6, -2, 1, or 3 only

Answers

Answer:

C

Step-by-step explanation:

note y = f(x) = 0

y = 0 is the x- axis

We are looking for values of x on the x- axis where the graph crosses/touches

This occurs at

x = - 2, x = 1, x = 3 → C

Please help ASAP thank you, see attachment

Answers

Step-by-step explanation:

1)

TV=TU+UV

32=TU+20

TU=32-20

TU=12

2)

As B is between A and C:

AC=AB+BC

AC=16+12

AC=28

Note:if you need to ask any question please let me know.

can someone find the domain and range in this graph i’m having trouble

Answers

To find the domain of graph, we notice at the point on the left and the right.

Domain is the set of all x-values, so we perceive in a horizontal line or x-axis.

The first point on left is at x = -1 and the second point on the right is at x = 1.

Since the points are opened and therefore, the Inequality signs can only be > or <.

Therefore, the domain is -1 < x < 1

To find the range, similar to domain but we perceive vertical line or y-axis. Range is the set of all y-values.

We notice that the minimum point is -1 or y = - 1 and maximum point at 1 or y = 1.

Therefore, the range is -1 < y < 1

24 oz of soda cost 1.29 at that rate how much would you expect 30 oz. of soda to cost?

Answers

Answer:

about $1.60 i think

Step-by-step explanation:

Simplify the expression

Answers

Answer:

Step-by-step explanation:

It might be wrong but i beieve that it is 4 to the 5th multiplied 4 to the 2nd

Answer:

[tex] {8}^{10} \times {8}^{4} \\ = {8}^{14} \\ thank \: you[/tex]

what should be multiplied with -25/36 to get -5/9​

Answers

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]\frac{-\frac{5}{9}}{-\frac{25}{36}}=\\\\-\frac{5}{9}*(-\frac{36}{25})=\\\\\frac{4}{5}[/tex]

A man bought 300pen at Rs6 each of them sold them at Rs 90 per dozen. find his profit​

Answers

I hope this help you

This one is very hard for me

Answers

15x + 57 ≥ 129

15x ≥ 129 - 57

15x ≥ 72

x ≥ 24/5

x 4.8

Answer:

[tex]x \geqslant 4.8[/tex]

Step-by-step explanation:

[tex]15x \: \: \: \: + \: 57 \geqslant 129 \\ or \: 15x \geqslant 129 - 57 \\ or \: x \geqslant 72 \div 15 \\ or \: x \geqslant 4.8 \\ [/tex]

Name the figure below in two different ways.

Answers

Answer: MUV OR VUM

Step-by-step explanation:

It is a line so anyway you name it is fine as lomg as its in it's respected order.

Answer:

Symbol=line

It has 3 points

it's got letters at the points

When multiplying two negative numbers, what kind of number does one always get for an answer?
Zero
Positive number
Depends on the numbers
Negative number

Answers

When we multiply two negative numbers, one always gets a positive number.

(-)×(-)= +

Hope it helps

what are the coordinates of point G ,which divides DE un the ratio 2:3?​

Answers

Answer:

(5, 7.8)

Step-by-step explanation:

There are several ways to solve this problem, but all of them involve similar triangles and ratios.

See the attached image.

The horizontal distance between points D and E is 11 - 1 = 10.  If a segment 10 units long is divided in the ratio 2:3 (as shown by the two smaller segments of length  a  and  b), then

[tex]\frac{a}{b}=\frac{2}{3}\\\frac{a}{a+b}=\frac{2}{2+3}\\\frac{a}{10}=\frac{2}{5}[/tex]

"Cross-multiply" to get

5a = 20

a = 4

To get the x-coordinate of point G, add 4 to 1, the x-coordinate of D.

The x-coordinate of G is 1 + 4 = 5.

The same idea can be used on the second coordinate of G.

The vertical distance from D to E is 15 - 3 = 12.

[tex]\frac{a}{b}=\frac{2}{3}\\\frac{a}{a+b}=\frac{2}{2+3}\\\frac{a}{12}=\frac{2}{5}[/tex]

5a = 24

a = 24/5 = 4.8

The y=coordinate of G is 3 + 4.8 = 7.8

evaluate def² if d= -4, e= 5, and f= -9​

Answers

Answer:

1620

Step-by-step explanation:

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PLS HELP!! ILL GIVE BRAINLIEST

Round each decimal number to the nearest whole number. Then, select the best estimate for the subtraction equation 6.4 − 4.2 = ___.

1
1.5
2
2.5

Answers

Given

6.4 – 4.2

To Find

Rounding The Number To Nearest Whole Number of their difference.

Solution

6.4 – 4.2 = 2.2

Rounding 2.2 to nearest whole number will give = 2

So Your Answer is Option C- 2

Hope This Helps You

Round the number 2.2 nearest whole number will be 2. Then the correct option is C.

What is the rounding of a number?

The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.

The decimal number is given below.

⇒ 6.4 − 4.2

⇒ 2.2

Round the number 2.2 to the nearest whole number.

If the decimal number is more than 0.5, then the ones place after the decimal will be increased by one.

In the decimal number is 2, then the ones place number 2 remains the same as 2.

Round the number 2.2 nearest whole number will be 2. Then the correct option is C.

More about the rounding of a number link is given below.

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Which number line shows the solution to -4-(-1)?
О
4
-3
2
0
1
2
3
4
5
K
O
4
-3
-2
-1
o
1
2
3
O
-5
3
-2
.1
1
2
3
4
о
2
0
1 2
3

Answers

Answer:

Your answer is -3

Step-by-step explanation:

-4-(-1)

-4+1

-3

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The number line is attached in the solution.

What is number line?

In math, a number line is a horizontal straight line with numbers placed at equal distances from each other along that line.

A number line is a pictorial representation of numbers on a straight line. It's a reference for comparing and ordering numbers.

Given is an expression, -4-(-1), we need to plot its solution on the number line,

So,

-4-(-1)

Opening the brackets,

= -4+1    [∵ (-) × (-) = +]

= -3

Plotting -3 in the number line, it will be put 3 units left from zero in the number line,

We put negatives number on the left side and the positive numbers on the right side of zero, in the number line,

For example, we are asked to put 7 in the number line, we will count 7 units to the right of zero in the number line, and suppose if we are asked to plot -6, then we will count 6 units to the left of zero in the number line.

The number line is extended from -∞ to +∞

Learn more about number lines, click;

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Tengo (3×-2y) soles ahorrados trabaje una semana y octube (5×+7y) el fin de semana gaste (5y) soles con cuanto soles me quede?

Answers

Answer:

creo que la respuesta es 34y

Step-by-step explanation:

I NEED YOUR HELP!!
What is 2 + 3x8

Answers

Answer:

26

Step-by-step explanation:

2 + 3 × 8 = ?2 + 24 = ?26

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

2x+25=95 what is x equal to

Answers

Answer:130

Step-by-step explanation:

Can y’all help me with 17 and 18

Answers

Answer:

17 is 35 degrees and 18 is 43 degrees

Answer:

#17 is 35 degrees

#18 is 43 degrees

Step-by-step explanation:

#17.   90-55 = 35

#18.   90 - 47 = 43

Given AB has a midpoint M where At -2, 8) and M(3,-1), find the coordinates of B​

Answers

Answer:

B is (8,-10) because A to M goes down 9 units and to the right 5 units

Find the distance between -6 and 7 on a number line.

Answers

13 if you count between the two to get the absolute value which is 13

find the 50th term of 0,3,6,9

Answers

[tex]\text{a}_1=0 \ \text{and} \ \text{a}_2=3\\\\\text{r}=\text{a}_2-\text{a}_1=3-0=3\\\\\text{a}_{50}=\text{a}_1+49\text{r}=0+49\cdot3=0+147=147\\\\\huge\boxed{\text{a}_{50}=147}[/tex]

Simplify the expression below:

Answers

Answer:

8x2−6x−5

Step-by-step explanation:

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