The area of a rectangle is represented by x2 + 2x - 3. The width of the rectangle is x - 1. What is the length of the rectangle?
A. X+3
B. x-3
c. x+4
D.X-2

The Area Of A Rectangle Is Represented By X2 + 2x - 3. The Width Of The Rectangle Is X - 1. What Is The

Answers

Answer 1

Answer:

Option A. x + 3

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = x² + 2x – 3

Width (W) = x – 1

Lenght (L) =?

The area of a rectangle is given by:

Area (A) = length (L) × Width (W)

A = L × W

With the above formula, we can obtain the lenght of the rectangle as follow:

Area (A) = x² + 2x – 3

Width (W) = x – 1

Lenght (L) =?

A = L × W

(x² + 2x – 3) = L(x – 1)

Divide both side by (x – 1)

L = (x² + 2x – 3) / (x – 1)

Please see attached photo for explanation

L = x + 3

Thus, the length of the rectangle is x + 3

The Area Of A Rectangle Is Represented By X2 + 2x - 3. The Width Of The Rectangle Is X - 1. What Is The

Related Questions

Find m∠ABC.




132°


48°


19°


21°

Answers

Answer:

Step-by-step explanation:

48

Aaron as 3 times as many sweets as Bola Aaron gives Bola 6 sweets and now he has twice as many as her new total How many sweets did they each begin with

Answers

Answer:

Aaron = 54

Bola = 18

Step-by-step explanation:

Let

[tex]A \to Aaron[/tex]

[tex]B \to Bola[/tex]

From the first statement, we have:

[tex]A = 3B[/tex]

After given Bola 6 sweets,

[tex]A - 6 = 2(B + 6)[/tex]

Required

The initial number of sweets each has

Substitute [tex]A = 3B[/tex] in [tex]A - 6 = 2(B + 6)[/tex]

[tex]3B - 6 = 2(B + 6)[/tex]

Open bracket

[tex]3B - 6 = 2B + 12[/tex]

Collect like terms

[tex]3B -2B = 12+6[/tex]

[tex]B = 18[/tex]

Substitute [tex]B = 18[/tex] in [tex]A = 3B[/tex]

[tex]A = 3 * 18[/tex]

[tex]A = 54[/tex]

HELP
Find the distance from point P (-2, 8) to the line y = -1.

Answers

Step-by-step explanation:

Distance= ✓(-2-0)²+(8+1)²

=✓(4+81)

=✓85

pls explain the answer

Answers

Answer:

even

Step-by-step explanation:

itz even cos it is divisible by 2

Answer:

6 is even number.

Step-by-step explanation:

An even number is a number that can be divided into two equal groups.

An odd number is a number that cannot be divided into two equal groups.

for example, if 6 divided into 2 groups then 3 in one group and 3 in another group, therefore there are equal groups.

if 7 divided into 2 groups then 3 in one group and 4 in another group, which is not equal.

Please help with these problems!!!

Answers

Answer:

12345678901234567890

please please HELP me! this is due tonight

explaining your answer = brainliest/five star rating

the peremiter is 15 cm. c = ___ cm?

Answers

Answer:

4

Step-by-step explanation:

the perimeter is the the total length of the shape. we already know that the two sides is 8, and 3 cm. we also know that the perimeter is 15cm. 8+3 is 11 so we need to figure out the remaining length of the side. 15-11 is 4 so the missing length, c, is 4 cm.

Find the circumference of the circle.​

Answers

Answer:

37.68 is the correct answer

Step-by-step explanation:

diameter of the given circle is 12ft

circumference of a circle = pi x diameter.

= 3.14 x 12 ft

= 37.68 ft

Answer:

A

Step-by-step explanation:

because use the equation circumference of a circle

[tex]2 \times \pi \times r[/tex]

so 12 is diameter half it will be 6 which is radius. Then insert the number in the equation. hope this helps:)

HELP PLEASE!!!! SHOW WORK!!!
7) Kristof wants to build a new rectangular pen for Sven to live in. Kristof measures and finds that the width of the fence is 3x + 4. He also knows that he wants the length of the fence to be 4 times the width.

a) Create an expression that could be used to find the perimeter of the fence.
b) If Kristof knows that the perimeter of the fence is 280 feet, what is the length and width of the fence?

Answers

bla bbbksnsjisjsjabhis sibelius

Answer: 5

Step-by-step explanation:

Help needed!!! Will give 20 points!!!

Answers

Answer:

1st answer

Step-by-step explanation:

[tex]f(g(x)) = f(4x)=(4x)^2-8(4x)+4\\=16x^2-32x+4[/tex]

It was very cold in Canada on Monday. On Tuesday, the temperature dropped one degree and was -2. What is x, the temperature on Monday?

Answers

Answer:

-3

Step-by-step explanation:

-2= x+1

-2-1=x

-3=x

9+4^2/8x3

What does this equal ?

Answers

Answer 2x^3+9
Explanation: evaluate the exponent
9+4^2/8•x^3
9+16/8•x^3
Divide the numbers
9+16/8•x^3
9+2x^3
Rearrange terms
9+2x^3
2x^3+9 and that’s the answer;)

Answer:

[tex]9+4^2\div 2^3\tems*3[/tex]

[tex]9+2^4\div8*3[/tex]

[tex]9+2*3[/tex]

[tex]9+2*3[/tex]

[tex]9+6[/tex]

[tex]15[/tex]

-------------------------hope it helps..have a great day!!

Find the shaded sector and the length of the arc. Round to the nearest hundredth. ​

Answers

Answer:

Step-by-step explanation:

I'll show you how to do the first one; the other are exactly the same, so pay attention.

The formula for arc length is

[tex]AL=\frac{\theta}{360}*2\pi r[/tex] where θ is the central angle's measure. It just so happens that the measure of the central angle is the same as the measure of the arc it intercepts. Our arc shows a measure of 40°; this measure is NOT the same as the length. Measures are in degrees while length is in inches, or cm, or meters, etc. Going off that info, our central angle measures 40°. Filling in the formula and using 3.1415 for π:

[tex]AL=\frac{40}{360}*2(3.1415)(3)[/tex]. I'm going to reduce that fraction a bit (and I'll use the same reduction in the Area of a sector coming up next):

[tex]AL=\frac{1}{9}*2(3.1415)(3)[/tex] which makes

AL = 2.09 units. Now for Area of the Sector. The formula is almost identical, but instead uses the idea that the area of a circle is πr²:

[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ is, again, the measure of the central angle (which is the same as the measure of the arc it intercepts). Filling in:

[tex]A_s=\frac{1}{9}*(3.1415)(3)^2[/tex] which simplifies a bit to

[tex]A_s=\frac{1}{9}*(3.1415)(9)[/tex]. As you can see, the 9's cancel each other out, leaving you with

[tex]A_s=3.14[/tex] units²

Answer:

Step-by-step explanation:

[tex]Arc \ Length = 2 \pi r \frac{ \theta}{360}[/tex]

[tex]Sector \ Area = \pi r^2 \frac{ \theta }{360}[/tex]

[tex]1) Arc \ Length = 2 \pi \times 3 \times \frac{40}{360} = 2\pi \times 3 \times \frac{1}{9} = \frac{2}{3} \pi = 2.09[/tex]

  [tex]Sector \ Area = \pi \times 9 \times \frac{40}{360} = 9\pi \times \frac{1}{9} = \pi = 3.14[/tex]

[tex]2) Arc \ Length = 2 \pi \times 5 \times \frac{88}{360}= 7.68[/tex]

  [tex]Sector \ Area = \pi \times 25 \times \frac{88}{360} = 19.2[/tex]

[tex]3) Arc \ Length = 2 \pi \times 6 \times \frac{260}{360} = 27.22[/tex]

  [tex]Sector \ Area = \pi \times 36 \times \frac{260}{360} = 81.68[/tex]

 

Elisa decided to take a vacation. The distance she plans to travel each day will form a geometric sequence

Answers

it’s not complete! Maybe a picture would help

did I choose the right graph?

Answers

Answer:

Step-by-step explanation:

The - tells you that it is upside down. So that much of your choice is correct for certain.

The 1/8 squishes the graph something fierce. So of those graphs given, the one you chose is most likely correct. But you are right to be a little miffed at the question. You should never have to choose an answer with only a picture to guide you. If you have a graphing calculator, try y = -1/8 x^2 which is a good candidate for all the graphs.

Find the length of the third side. If necessary, round to the nearest tenth. 24 28

Answers

Answer I believe it would be 32

Step-by-step explanation:if it’s 24, 28 it should be 32

(HELP) A glass jar contains 5 red, 7 green, 9 blue and 11 yellow marbles. If a single marble is picked at random from the jar, what is the probability of it being a blue marble? *

1/11
5/18
9/32
5/12

Answers

Answer:

Find the volume of this prism.

Megan uses cup of almonds to make 4 cups of trail mix. Using this
same proportion, how many cups of almonds would Megan need to make
9 cups of trail mix?

Answers

Answer:
2 1/4 cups

Step by step:
First we can set up a ratio (1:4). Then we can divide both by 4 to find how many cups of almonds per cup of trail mix. We get 0.25:1. Multiply both by 9, and there’s the answer (2.25:9).

Hope this helped <3

The circle below has center T. Suppose that mUV = 68 and that UW is tangent to the circle at U. Find the following. Does anyone know this?

Answers

Answer:

Step-by-step explanation:

Angle UTV is a central angle. The rule is that the measure of a central angle is the same as the measure of the arc its rays intercept. Angle UTV intercepts arc UV which measure 68 degrees. Therefore, angle UTV also measures 68 degrees.

As far as the next angle goes, angle VUW, the rule is that the measure of the angle is half the measure of the arc it intercepts. So angle VUW = 34 degrees

Find the radius y of circle C, given that x = 12 and z = y + 8.
PLEASEEE HELP ME

Answers

i think the answer is 3 :))

The radius of the given circle is 5, option C is correct.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given figure, y is the radius.

By pythagoras theorem we find the radius

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

AC²+AB²=BC²

y²+12²=(y+8)²

y²+12²=y²+64+16y

144=16y+64

Subtract 64 from both sides

144-64 = 16y

80=16y

Divide both sides by 16

y=5

Hence, the radius of the given circle is 5, option C is correct.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ2

Please help
Linear Pairs of Angles
Use the value of x to find the
measure of Angle 1.
X = 25
Z1 = [?]° Z2 = [ 1°
5x - 5 2x + 10
22=0

Answers

Answer:

5x-5

This equal : 120

2x+10

the second is 60

1. If one leg gets longer the other leg must also
get longer in order to keep the hypotenuse the
same.
TRUE
FALSE

Answers

False because is not the same and it doesn’t make sense

Analyze the diagram below and complete the instructions that follow.
K
L
5
J
M
Given that the rectangle above has a perimeter of 34 units, find mZKLJ. Round the answer to the nearest
hundredth.

Answers

i think it’s the anwser to your question is c

Find the value of X and TQ

Answers

ok I don't know go to school or sum

Identify the property being demonstrated for each expression.
13+ (5 + 7) = (3 + 5) + 7
(3)[5(7)] = (3)[7(5)
5 + 0 = 5

Answers

Answer:

3 + (5 + 7) = (3 + 5) + 7

Associative property

(3){5(7)} = (3){7(5)}

Commutative Property

5 + 0 = 5

Identity Property

Step-by-step explanation:

INEQUIDAD SALARIAL Este es el ingreso mensual que se percibe por género en su primer empleo: 16 Menos de 100 12 20 Entre 1500 3.000 Entus 200 000 14 BODOyt,000 23 ade 15.00 8 10 103 20 30 35 40 FTNINA Fuente Exacoldcarea colmate y UV Professor ACTIVIDAD Contesta las siguientes preguntas planteadas con referente a la grafica. 1. ¿Qué Informacion presenta la grafica anterior? el bove e una mu queue percibe por ponere en 20 2. ¿Cual es el ingreso que una mujer percibe en su primer empleo y que pocas mujeres lo consiguen? 31 OCHS MATEMATICAS 30 TRIMESTRE 111 3. ¿Cuál es el ingreso que un hombre percibe en su primer trabajo y que muy pocos lo consiguen? 4. ¿Cuál es el ingreso de un hombre y una mujer que percibe en su primer trabajo y es donde mas mujeres y hombres hay? 5. Calcula la media de esos datos. 6. Calcula el Rango de esos datos 7.- ¿Cuál es la mediana de esos datos? 8.2Cuál es la Moda de esos datos? ACTIVIDAD: Resuelve el siguiente problema:​

Answers

Answer:

udfdufuhgjhfdhhudhjhnvn cjhcfhfhufvhfuh

Step-by-step explanation:

guhfr fuhuhdf bfhuyvvhd ui hty

Please help Ill give brainlest

Answers

Answer: D

Step-by-step explanation:

|2(7)| - (-4) over 3
your answer is 6

HELPPPPPPPPPPPPPPPPPP ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]254.5 m^2[/tex]

Step-by-step explanation:

Area of a Circle: [tex]A=\pi r^2[/tex]

The r is the length of the radius of the circle

The radius of the shown circle is 9 m

[tex]A=\pi 9^2[/tex]

[tex]A=81\pi=254.469004941[/tex]

Answer:

254.57 square meters

Step-by-step explanation:

first we need to know the details given in the question . in this question we are given radius of the circle which is eight 9m.

then we need to know the formula for finding the area of the circle.

which is πr^2 ,value of pie is 3.14

3.14*9*9=254.57.

Ethan invests $3000 in a mutual fund that earns 6% interest per year compounded monthly. After 10 years, the investment is worth $5,458.19. How much interest did he earn?

Answers

Answer:

[tex]A = P(1 +\frac{r}{n} )^{nt}[/tex]

A = 3000(1 + .06/12)^120

strange the question did not want you to calculate the amount

that was given....

the interest is 5,458.19 - 3000 = 2,458.19

Step-by-step explanation:

Mr. Jones' other friend Ms. O'Neill has "x" meters of fencing, what is the maximum area in square meters she can have?

Answers

Answer:

[tex]Max\ Area = \frac{x^2}{16}[/tex]

Step-by-step explanation:

Given

[tex]P = x[/tex] ---- the perimeter of fencing

Required

The maximum area

Let

[tex]L \to Length[/tex]

[tex]W \to Width[/tex]

So, we have:

[tex]P = 2(L + W)[/tex]

This gives:

[tex]2(L + W) = x[/tex]

Divide by 2

[tex]L + W = \frac{x}{2}[/tex]

Make L the subject

[tex]L = \frac{x}{2} - W[/tex]

The area (A) of the fence is:

[tex]A = L * W[/tex]

Substitute [tex]L = \frac{x}{2} - W[/tex]

[tex]A = (\frac{x}{2} - W) * W[/tex]

Open bracket

[tex]A = \frac{x}{2}W - W^2[/tex]

Differentiate with respect to W

[tex]A' = \frac{x}{2} - 2W[/tex]

Set to 0

[tex]\frac{x}{2} - 2W = 0[/tex]

Solve for 2W

[tex]2W = \frac{x}{2}[/tex]

Solve for W

[tex]W = \frac{x}{4}[/tex]

Recall that:

[tex]L = \frac{x}{2} - W[/tex]

[tex]L = \frac{x}{2} - \frac{x}{4}[/tex]

[tex]L = \frac{2x- x}{4}[/tex]

[tex]L = \frac{x}{4}[/tex]

So, the maximum area is:

[tex]A = L * W[/tex]

[tex]A = \frac{x}{4}*\frac{x}{4}[/tex]

[tex]Max\ Area = \frac{x^2}{16}[/tex]

what is the correct answer​

Answers

Answer:

Step-by-step explanation:

B is correct answer

The correct answer is B
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