Given

We have to set the restraint

because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:

The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.
Similarly, we have

So, we have to impose

Squaring both sides, we have

The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.
Answer:
$467.05
Step-by-step explanation:
By getting a discount of 20%, it means he pays 100-20=80% of the initial price
80% is same as 0.8
Price after discount will be
0.8*$562=$449.6
Taxation is then subjected to the discounted price. With tax rate of 6% which is equivalent to 0.06 then the total prive incurres will be 106% of the discounted price, same as 1.06
Final price inclusive of tax
1.06*$449.6=$476.576
Since his credit gives 2% discount of everytging then he only pays 98% of the price inclusive of tax
Payable amount
0.98*476.576=467.04448
Rounded off as $467.05
Answer:
210 m²
Step-by-step explanation:
The area of a rhombus is d₁ * d₂ * 0.5. In other words, the area is its diagonals multiplied together and divided by 2.
Substitute the measures of the diagonal given.
35 * 12 * 0.5 = 210
The area is 210 m²
I hope this helps! Feel free to ask any questions!
Why is (D₁ + D₂)/2 incorrect?
This is a really helpful link:
http://mathandmultimedia.com/2015/03/04/why-the-area-of-a-rhombus-half-the-product-of-its-diagonals/
https://byjus.com/maths/area-of-rhombus/
Answer: 0.88888889
Step-by-step explanation:
Just divide 8/9!