Given:
The equation of a line is:
A line passes through the point (-5,-3) and perpendicular to the given line.
To find:
The equation of the line.
Solution:
Slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
We know that the product of slopes of two perpendicular lines is always -1.
Slope of the required line is 
and it passes through the point (-5,-3). So, the equation of the line is:
Using distributive property, we get
Therefore, the equation of the line is . Hence, option A is correct.
Answer: 5.17, -0.67
Step-by-step explanation: Solve the equation for p by finding a, b, and c of the qudratic then applying the qquadratic formula
Excact Form: p = 9 + √137/4, 9 - √137/4
Decimal Form:
p = 5.17617497 . . . , -0.67617497 . . .
Hope this helps! :)
~Zane
<span>Understand that:
• the sum of two positive numbers is greater than either
number.
Understand that addition is the inverse of subtraction (addition
reverses subtraction and vice versa) and use this to check
results.
Respond rapidly to oral or written questions, explaining the
strategy used. For example:
• 654 add 50… Add 68 to 74…
• 7 add 12 add 9… Add 15, 6, 4, 15 and 1…
• What is the sum/total of 26 and 39? And of 13, 62 and 3?
• How many altogether are 121 and 35? And 61, 37 and 6?
• Increase 48 by 22.
• Which three numbers could have a total of 103?
Are there any others?</span>
The mean is 7.5 you add up all the numbers and then divide by the amount of numbers there is
<h3>Answer: Choice D</h3>
=======================================================
Explanation:
The long way to do this is to multiply all the fractions out by hand, or use a calculator to make shorter work of this.
The shortest way is to simply count how many negative signs each expression has.
The rule is: if there are an even number of negative signs, then the product will be positive. Otherwise, the product is negative.
For choice A, we have 3 negative signs. The result (whatever number it is) is negative. Choice B is a similar story. Choice C is also negative because we have 1 negative sign. Choices A through C have an odd number of negative signs.
Only choice D has an even number of negative signs. The two negatives multiply to cancel to a positive. The negative is like undoing the positive. So two negatives just undo each other. This is why the multiplied version of choice D will be some positive number.
Or you can think of it as opposites. If you are looking up (positive direction) and say "do the opposite" then you must look down (negative direction). Then if you say "do the opposite", then you must look back up in the positive direction.
