Answer:
Step-by-step explanation:
12a)To rationalize the denominator, multiply the denominator and numerator by √5.
b) (a+b)² = a² + 2ab + b²
(1 +√3)² = 1² + 2*1*√3 + (√3)²
= 1 + 2√3 + 3
= 4 + 2√3
a = 4 ; b =2
13) (a + b)(a - b) = a² - b²
Answer:
Laurie's maximum depth can be represented using the expressions :
(20 × 3) = 60
(3 × 4 × 5) = 60
Step-by-step explanation:
Each depth level at which ears are checked = 5 feets
Each Depth level at which instruments are checked = 20 feets
For Laurie to check her instrument ;
Number of times ears are checked = 20/5 = 4 times
This means that for Laurie to have checked her instrument 3 times :
(4 × 3 × 5) = 60 feets
Therefore, Laurie's maximum depth can be expressed as (4 × 3 × 5) = 60 feets
Answer:
40,000
Step-by-step explanation:
You want to start with the exponent and then multiply afterward in both of the equations.
8 x 10^-2:
10^-2 = 0.01
0.01 x 8 = 0.08
2 x 10^-6:
10^-6 = 0.000001
0.000001 x 2 = 0.000002
Obviously, you can see the relationship between 8 and 2 in the division. Now, you just divide 0.08 by 0.000002 and you get 40,000.
The dimension of the parallelogram ABCD will be 14 inches, 48 inches, 14 inches and 48 inches.
<h3>What is a parallelogram?</h3>
It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
The perimeter of a parallelogram is 76 inches.0
And one side measure is 14 inches.
Then the rest of the sides will be
We know that opposite sides are prallel and equal.
Let ABCD is a parallelogram.
AB = CD = 14 inches
BC = AD = x
Then the value of x will be
We know
P = 2(AB + BC)
76 = 2(14 + x)
x = 48
More about the parallelogram link is given below.
brainly.com/question/1563728
#SPJ1
Answer:
The correct answer would be...
c. 8(x + 4)(x - 7)
Hope this helps!
