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ra1l [238]
3 years ago
10

The total area of both plots of land is?

Mathematics
1 answer:
VikaD [51]3 years ago
7 0

You have 2x^2 + 9x -9 and 3x^2 -2x +14

To find total area add the two polynomials together by combining the like terms.


2x^2 + 3x^2 = 5x^2

9x + -2x = 9x-2x = 7x

-9 + 14 = 5


Total area = 5x^2 + 7x + 5

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Which expression is equivalent to ( 11 x − 8 ) + ( 7 − 4 x ) ?
dlinn [17]

Answer:

7x-1

Step-by-step explanation:

Use commutative property:

(11x-4x) + (-8+7) = 7x-1

6 0
2 years ago
A different whole number from 1 - 26 is assigned to each letter of the alphabet and written on the kindergarten 26 alphabet bloc
elena55 [62]
The sum of these will simply be the sum of all the numbers 1 through 26, which is 351.
8 0
3 years ago
Solve for x.<br> 7(1x - 3) = 4(x + 5)
alexandr1967 [171]

Answer:

x = 41/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

7(1x - 3) = 4(x + 5)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Simplify:                                        7(x - 3) = 4(x + 5)
  2. Distribute:                                     7x - 21 = 4x + 20
  3. Subtract 4x on both sides:          3x - 21 = 20
  4. Add 21 on both sides:                  3x = 41
  5. Divide 3 on both sides:                x = 41/3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    7(1(41/3) - 3) = 4(41/3 + 5)
  2. Multiply:                        7(41/3 - 3) = 4(41/3 + 5)
  3. Subtract/Add:               7(32/3) = 4(56/3)
  4. Multiply:                        224/3 = 224/3

Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.

And we have our final answer!

6 0
2 years ago
Twenty middle school students are outside a movie theater waiting for it to open. There are four more girls than
Lapatulllka [165]

Answer:

0.4 , 0.1

Step-by-step explanation:

Let number of boys be = b , number of girls = b + 4 . As total students = 20    b + b + 4 = 20  → 2b + 4 = 20 → 2b = 20 - 4 = 16 → b = 16 / 2 = 8 (boys) , so girls = 12

Prob (a random first child is a boy) = boys / total students = 8 c 1 / 20 c1, or =  8  / 20  = 0.4

Prob ( a 'Tina' out of two Tina is the last) = 2 c 1 / 20 c 1 , or = 2 / 20 = 0.1

8 0
3 years ago
Pls answer the question with explanation
adell [148]

Answer:

a) 96m

b) 2 m/s^2

Step-by-step explanation:

The distance travelled in a velocity time graph as shown in the image is the area of the shape. As such, considering the first 14 seconds, the distance covered will be computed by finding the area of the shape.

Note that the shape to be considered ends t the 14 seconds mark. This shape is a trapezium. The area of  a trapezium is given as

A = 1/2(a + b) h

where a and b are the parallel sides of the trapezium and h is the height As such, the distance covered in the first 14 seconds

= 1/2 (14 + 10) * 8

= 4 * 24

= 96m

The acceleration after 4 seconds

Acceleration is the rate of change of velocity with time, at time 0 second, the velocity is also 0 but at time 4 seconds, the velocity is 8 m/s hence, the acceleration after 4 seconds

= 8/4

= 2 m/s^2

7 0
3 years ago
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