Answer:
1) True
2) True
3) False
4) True
Step-by-step explanation:
1) You can compare irrational numbers using rational approximations
The above statement is true as given two irrational numbers which can be expressed in decimal format, by rounding up the numbers to a certain number of decimal places, the values of the irrational numbers will be different
2) Square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol
The above statement is true as the the values of the numbers under the radical symbol are directly proportional to the square root
3) You cannot compare the value of rational and irrational numbers
The above statement is false because the value of an irrational number can be found between two rational numbers. Therefore, the value of an irrational number is higher than the rational number that precedes it on the left of a number line
4) The closer the numbers being compared, the more decimal places you need to use
The above statement is true as a higher level of detailed value of the numbers being compared will be required given the closeness in value of the numbers being compared.
Answer:
<h2>2.6</h2>
Step-by-step explanation:
To solve this, we need to use the Pythagorean theorem to solve this.
The way to solve is by solving for AD by using triangle CAD and then using that result to solve for BD.
3.4² + b² = 6.5²
11.56 + b² = 42.25
42.25 - 11.56 = b²
b = √30.69
b = 5.53985559 or about 5.5
4.9² + b² = 5.5²
24.01 + b² = 30.69
30.69 - 24.01 = 6.68
b = √6.68
b = 2.58456959666 or about 2.6
<h2>EDIT: the other user is incorrect, here's why</h2>
3.4 + 4.5 = 7.9
6.5² + 4.9² = 7.9²
66.26 doesn't equal 62.41
Subtract 48,000 from 6,000 divide it by 4=10500.
The point-slope form of the equation for a line can be written as
... y = m(x -h) +k . . . . . . . for a line with slope m through point (h, k)
Your function gives
... f'(h) = m
... f(h) = k
a) The tangent line is then
... y = 5(x -2) +3
b) The normal line will have a slope that is the negative reciprocal of that of the tangent line.
... y = (-1/5)(x -2) +3
_____
You asked for "an equation." That's what is provided above. Each can be rearranged to whatever form you like.
In standard form, the tangent line's equation is 5x -y = 7. The normal line's equation is x +5y = 17.
Answer:
Point S represent the score 93.5 which is Drew's New Score.
Step-by-step explanation:
The score of Drew on a math test = 92
Point for each correction in the math test = 1/2 = 0.5
Now, the number of problems corrected = 3 x 0.5 = 1.5
So, Now, the new scale of Drew = Old Score + The Correction Score
= 92 + 1.5
= 93.5
or, Drew, new score = 93.5
Hence, point S represent the score 93.5 which is Drew's New Score.
