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Goshia [24]
2 years ago
11

Q4. The diagram shows a triangle inside a rectangle.

Mathematics
1 answer:
Yanka [14]2 years ago
4 0

The prove to show that the area of the shaded portion is 18x  - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x  - 30

<h3>How to find the area of the shaded region?</h3>

The area of the shaded region can be represented as follows:

area of the shaded region = area of rectangle - area of triangle

Therefore,

area of the rectangle = (x + 6)(3x - 5)

area of the rectangle = 3x² - 5x + 18x - 30

area of the rectangle = 3x² + 13x - 30

area of triangle = 1 / 2 × 2x × 3x - 5

area of triangle = 3x² - 5x

Therefore,

area of the shaded portion =  3x² + 13x - 30 - 3x² + 5x

area of the shaded portion = 18x  - 30

learn more on area here: brainly.com/question/21208569

#SPJ1

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The Beachfront Resort charges its guests
madam [21]

The system of  equations can be used to find the cost of a  night's stay and the cost of a meal is:

2n + 5m = $395

5n + 11m = $959

<h3> Simultaneous equations</h3>

Simultaneous equations are two or more groups of equations. These equations have to be solved together at the same time in order to determined the required valued. The two above equations have to be solved in order to determine the cost of  a  night's stay and the cost of a meal.

The methods of determining the required values are:

  1. Elimination method
  2. Graph method
  3. Substitution method

To learn more about simultaneous equations, please check: brainly.com/question/25875552

5 0
2 years ago
Is it true that the sum of two repeating decimal is always repeating decimal​
Murljashka [212]

Answer:

no. it isn't necessary.

Step-by-step explanation:

there are some cases where adding two repeating decimals results in a sum which does not have a repeating decimal. For example,  

1 over 3

+

2 over 3  

=

3 over 3  

=1

. Thus, the sum of two repeating decimals is not always a repeating decimal.

8 0
3 years ago
55+p=105 What is the variable
natta225 [31]
55+p=105
subtract 55 from both sides
p=50
MAGIC
8 0
3 years ago
Read 2 more answers
Find the average range. Round the mean and the average range to the nearest tenth. (Show all your work on scratch paper, then en
NISA [10]
3, 12, 15, 25, 30, 40The range is the difference between the greatest and smallest values:
range = 40 - 3 = 37

Thee average is the sum of elements divided by the number of elements:
average = (<span>3 + 12 + 15 + 25 + 30 + 40</span>)/6
average = 125/6 = 20.83
4 0
2 years ago
F(x) = -x2 – 9.2 – 4
drek231 [11]

Answer:

what is the question?

Step-by-step explanation:

5 0
2 years ago
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