9514 1404 393
Answer:
Step-by-step explanation:
The prime factorization of 1458 is ...
1458 = 2·3^6
The exponent of 3 is even, but we need another factor of 2 to make the exponent of that factor even. You will get a perfect square by multiplying by 2.
√(2·1458) = √2916 = 54
Multiplying by 2 will give the square of 54.
I believe it's 236 if I understand the question correctly
Answer: The width is 7 meters. The length is 10 meters.
Step-by-step explanation: Area = Length × width
Length is 2w - 4
Substitute that value for length, then solve for w.
70 = w(2w - 4)
70 = 2w² - 4w reorganize to quadratic equation form
2w² - 4w -70 = 0 These are All even numbers; factor out 2 (divide all by 2)
w² - 2w - 35 = 0 factor this
(w - 7)(w + 5) set each factor = 0 and calculate the value of w.
w+5=0 w= -5 (disregard this one because dimensions of real rectangles can't be negative)
w - 7 = 0 w = 7 <u>The width is 7</u>
Substitute into the original expressions to get the value of Length.
2(7) -4 = L 14 - 4 = L The<u> Length is 10.</u>
Check by substituting into the original equation:
w × 2w -4 = 70
7 × 2(7) -4 = 70
7 × 10 = 70 TRUE!
w
Answer:
18√7x⁶
Step-by-step explanation:
Given the expression 7√28x⁶+4√7x⁶, we are to fund the sum in its simplest form as shown;
7√28x⁶+4√7x⁶
= 7√(7*4)x⁶+4√7x⁶
= 7*2√7x⁶+4√7x⁶
= 14√7x⁶+4√7x⁶
Factor out the like term
= 2√7x⁶(7+2)
= 2√7x⁶(9)
= 18√7x⁶
Hence the sum is equivalent to 18√7x⁶
Answer:
Step-by-step explanation:
The ratio 19/25 is the same as 76/100, or 0.76.
Multiplying this by 100%, we get 76%, the percentage of questions answered correctly.
Subtracting 76% from 100% results in 24%, which is the percentage of questions not answered correctly.
