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Leni [432]
2 years ago
13

1. A soccer field has an area (A = LW) that is represented by the polynomial 1 point

Mathematics
1 answer:
matrenka [14]2 years ago
6 0

Answer:

(x + 6)(x - 6)

Step-by-step explanation:

Given

See attachment for soccer field

Required

The possible dimension of the field

From the attachment, we have:

Area = x^2 - 36

Length = x +a

Width = x + b

So, we have:

Length * Width = Area

This gives:

(x + a)(x + b) = x^2 - 36

Express 36 as 6^2

(x + a)(x + b) = x^2 - 6^2

Express as difference of two squares

(x + a)(x + b) = (x + 6)(x - 6)

Hence, the dimension is: (x + 6)(x - 6)

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HELP ASAP
kari74 [83]

Answer:

2. 4a+2c = 5000

4. a + c = 1600

Step-by-step explanation:

8 0
3 years ago
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Order the numbers from least to greatest. a –8, −10, 0, 5, 1, −1, 3, −6, −9, −19, 32
krek1111 [17]
Start with -19, -10, -9,-8,-6,-1,0,1,3,5,32
6 0
3 years ago
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Isosceles JAM has convex angle M. JM=35,MA=4n+3, angle J=14w-1, and angle m=98 Find n. Find w. Find the perimeter of JAM
Lena [83]

Answer:

n = 8, w = 3 and perimeter = 122.83 units.

Step-by-step explanation:

Let the angle M is the angle between the equal sides of isosceles JAM.

So, JM = MA

⇒ 35 = 4n + 3

⇒ 4n = 32

⇒ n = 8 (Answer)

Now, if ∠ J = 14w - 1 and ∠ M = 98°, then

2(14w - 1) + 98 = 180

⇒ 2(14w - 1) = 82

⇒ 14w - 1 = 41

⇒ w = 3 (Answer)

Now, draw a perpendicular bisector on JA from vertex M and it meets JA at P say.

So, Δ MPJ will be a right triangle with ∠ J = (14w - 1) = 41° {Since w = 3}

Hence, \cos 41 = \frac{JP}{JM} = \frac{JP}{35}

⇒ JP = 35 cos 41 = 26.415

So, JA = 2 × JP = 52.83  

So, the perimeter of Δ JAM is = 35 × 2 + 52.83 = 122.83 units (Answer)

4 0
3 years ago
The population of a town after t years is represented by the function f(t)=7,248(0.983)tf(t)=7,248(0.983)t.
lidiya [134]

Answer:

The population of the town is 0.983 times the population of the town in the previous year.

B is correct.

Step-by-step explanation:

We are given a function which represent population of a town after t years.

f(t)=7248(0.983)^t

It is an exponential function. Exponential function wither decease or increase it depends on factor.

y=a\cdot b^x

b is factor which decides factor of exponential function decrease or increase.

  • If b >1 then function increase
  • If 0<b<1 then function decrease.

If we see our problem f(t)=7248(0.983)^t

Here, b=0.983<1

Function would be decrease by factor of 0.983

Thus, The population of the town is 0.983 times the population of the town in the previous year.

7 0
3 years ago
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Solve this system of equations using the elimination method.
Ray Of Light [21]

Answer:

(6, -9)

Step-by-step explanation:

Our system of linear equations is:

6x + 2y = 18

-4x - 2y = -6

When we solve by elimination, we're essentially "eliminating" a variable so that we can solve for other more easily. Here, let's eliminate the y variable by adding the two equations together:

    6x + 2y = 18

+   -4x - 2y = -6

____________

    2x  +  0y = 12

x = 12/2 = 6

Plug this back into one of the original equations to find y:

-4x - 2y = -6

-4 * 6 - 2y = -6

-24 - 2y = -6

-2y = 18

y = -9

The solution is (6, -9).

7 0
3 years ago
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