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hjlf
3 years ago
6

If the area of a rectangle is x^2+7x+12, what is the expression for the perimeter?

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

Length = 13 = (x + 3)

Width = 14 = (x + 4)

x2 + 7x + 12 = area of the rectangle

can be factored into

(x + 3)(x + 4)

Let L = one of the factors (x + 3)

Let W = the other factor (x + 4)

If x = 10 then

(10 + 3) = 13 = L

(10 + 4) = 14 = W

Checking this can be checked a couple of ways

Plug x = 10 into the original equation

x2 + 7x + 12

102 + 7(10) 12 = 100 + 70 + 12 = 182 = Area

Multiplty the factors

L x W = 13 x 14 = 182 = Area

I hope you find this useful if you have any questions please send me a message.

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One term of (x+y)^m is 31,824x^18y^11<br> What is the value of m ?
alisha [4.7K]

Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of (x+y)^m is 31,824x^{18}y^{11}  ...(i)

We know that that (r+1)th term in (a+b)^n is given by :-

T_{r+1}=^nC_ra^{n-r}b^r  ...(ii)

On comparing (i) with (ii) , we get

a= x \text{ and } b= y \\n-r =18 \text{ and }  r=11\\n=m

i.e.

m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29

Hence, the value of m is 29.

7 0
3 years ago
PLEASE HELP!
Degger [83]

Answer:

Perimeter = 21.58 units

Step-by-step explanation:

Perimeter of a polygon = Sum of measures of all sides of the polygon

Perimeter of the quadrilateral LEAP = PL + AE + EL + LP

                                                            = 4.47 + 4.47 + 6.32 + 6.32

                                                            = 21.58 units

[If the distances between two point are not given, use the formula to calculate the distance between two points (x_1, y_1) and (x_2,y_2)

Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]

7 0
3 years ago
Ft
Fofino [41]

Answer:

. We assume, that the number 260 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 260 is 100%, so we can write it down as 260=100%.

4. We know, that x is 6.75% of the output value, so we can write it down as x=6.75%.

5. Now we have two simple equations:

1) 260=100%

2) x=6.75%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

260/x=100%/6.75%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 6.75% of 260

260/x=100/6.75

(260/x)*x=(100/6.75)*x       - we multiply both sides of the equation by x

260=14.814814814815*x       - we divide both sides of the equation by (14.814814814815) to get x

260/14.814814814815=x

17.55=x

x=17.55

now we have:

6.75% of 260=17.55

Step-by-step explanation:

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3 years ago
Question Which sequence of transformations maps pre-image ABC to image A′B′C′ ? Triangle ABC was reflected over the y-axis and t
Stells [14]

The sequence of transformations was Triangle ABC was reflected over the y-axis and then translated 2 units up and 2 units to the right.

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Rigid transformation is the transformation that does not change the shape or size of a figure. Examples of rigid transformations are <em>translation, reflection and rotation</em>.

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

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2 years ago
Find the missing angle according to the Triangle Exterior Angle Theorem
Alexxandr [17]

Answer:

k = 36

Step-by-step explanation:

By exterior angle theorem:

k \degree + 110 \degree = 146 \degree \\  \\ k \degree = 146 \degree  - 110 \degree \\  \\  k \degree = 36\degree \\  \\ k = 36

6 0
2 years ago
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