Answer:
Step-by-step explanation:
We are asked to find the length of a segment or the <em>distance</em> between the 2 points. The formula for distance is:
where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:
- x₁= -5
- y₁= 4
- x₂= 6
- y₂ = -3
Substitute the values into the formula.
Solve inside the parentheses.
- 6--5 (Back to back negative signs become a positive)= 6+5 =11
- -3-4= -7
Solve the exponents.
- (11)²= 11*11= 121
- (-7)²= -7*-7= 49
Add.
Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.
The length of the segment is <u>√170</u> or approximately <u>13.04. </u>
Answer
He has to fill 14 times
Solution
7/4 = 1/8x | : 1/8
7/4 * 8/1 = 7/1 * 2/1 = 14
△ABC right angle C, leg BC > leg AC. So angle A > angle B.
a=BC, b=AC, c=AB
a > b
sin A= cos B = a/c
sin B = cos A = b/c
a = c sin A = c cos B
b = c sin B = c cos A
a > b
c sin A > c sin B
sin A > sin B
c cos B > c cos A
cos B > cos A
Answer: B, E
Answer:
the y-intercept is -18
Step-by-step explanation:
hope i couldve help :)
Answer:
see attached
Step-by-step explanation:
A spreadsheet is a useful tool for keeping track of the numbers. A picture of one is attached.
We have assumed that the dollar amount for housing computed in the first part remains the same (though the percentage changes). If that is not the case, you'll have to recompute.
Likewise, we assume that the "5%" retirement amount remains 5% of the nominal salary, rather than 5% of the salary after the mandatory retirement deduction. Similarly, we assume dance lessons remain at their original amount, and were not reduced when the company began taking mandatory retirement.
Feel free to build your own spreadsheet and recompute as needed for any assumptions I got wrong, or for any additional scenarios.
