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3 years ago

Find the area of the shaded region

Mathematics

2 answers:

stepladder [879]3 years ago

6 0

Answer:

Option A - 5x^2 +7x -26

Step-by-step explanation:

Area of square - area of unshaded region

L xL - l x l

(2x +2) (3x -4) - (x-3) (x-6)

( 6x^2 -8x +6x -8) - (x^2 -6x -3x +18)

(6x^2 -2x -8) - ( x^2 -9x +18)

6x^2 -2x -8- x^2 +9x -18

5x^2 +7x -26

Therefore, option A is correct

mel-nik [20]3 years ago

4 0

Answer:

5x² + 7x - 26

Step-by-step explanation:

The formula for the area of a rectangle is

A = lw

1. Area of large rectangle = (2x+ 2)(3x - 4) = 6x² - 2x - 8

2. Area of small rectangle = (x - 3)( x - 6) = x² - 9x + 18

3. Difference = 6x²- 2x - 8

= 5x² + 7x - 26

The area of the shaded region is 5x² + 7x - 26

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A triangle has sides with lengths of 11 miles, 15 miles, and 17 miles. Is it a right triangle?

dybincka [34]

Answer:

Below.

Step-by-step explanation:

If its a right triangle it will obey the Pythagoras theorem.

17^2 = 289

11^2 + 15^2 = 121 + 225 = 346

- so NOT a right triangle.

3 0

2 years ago

Mohit pays rupees 9000 as an amount on the sum of rupees 7000 that he had borrowed for 2 years.

Sphinxa [80]

Answer:

The required rate of interest = 14.285%

Step-by-step explanation:

Here, The principal amount = 7,000

The final paid amount = 9,000

Time = 2 years

Let us assume the rate of interest = R

Now, Simple Interest = Amount - Principal

= 9,000 - 7,000 = 2,000

So, the SI on the given principal for 2 years = 2,000

$\textrm{SIMPLE INTEREST } = \frac{P \times R \times T}{100}\\\implies 2000 = \frac{7,000 \times R \times 2}{100}\\\implies R = \frac{2,000 \times 100}{7,000 \times 2} = 14.285$

or, R = 14.285%

Hence, the required rate of interest = 14.285%

8 0

3 years ago

(Multiying by a unit fraction. Find the product mentally. (5.6) × 1/8=

Ipatiy [6.2K]

Step-by-step explanation:

(5.6) × 1/8

$(5.6) \cdot \frac{1}{8}$

Here the unit fraction is 1/8

multiply 5.6 times 1

so its 5.6. then divide the decimal by 8

we know that 8 times 7 is 56

so 56 divide by 8 is 7

we have decimal point 1 number to the left

so we move decimal point 2 place left

Hence 5.6 divide by 8 is 0.7

$(5.6) \cdot \frac{1}{8}=0.7$

Answer: 0.7

6 0

3 years ago

What is 3.47 correct to 2 decimal places <br><br> what is 8.132 correct to 3 decimal places

Olenka [21]

If I'm understanding the question they should be those. If you want to go left then the would be

Left
0.00347
0.008132

Right
347.
8,132.

6 0

3 years ago

What is the equation of g(x)?

Ksenya-84 [330]

Answer:

$g(x)=10^{x-3}$

Step-by-step explanation:

Notice that function $g(x)$ has the exat shape of function $f(x)$ , and it has just be translated to the right by 3 whole units.

Recall that horizontal translations to the right involve subtracting the number of units moved in the translation from the variable "x". therefore, in our case this means:

$f(x)=10^x\\g(x)=10^{x-3}$

4 0

2 years ago