Answer:
y - 5 = -4(x + 3)
Step-by-step explanation:
This question is asking you to use and make an equation using the base of the "point-slope form." This is a common equation used when dealing with coordinates and graphs in math. The point-slope form equation looks like this:
y - y₁ = m(x - x₁).
We are going to need to use this equation base to create our problem from the information given. If you are wondering what those subscripts of 1 mean (the 1 in y₁ and x₁), I will explain. Remember that:
slope (m) = <u>y - y₁</u>
x - x₁
So, our first y value (which is the y-coordinate of 5 in [-3, 5]) can be added into the problem base that I had mentioned above:
y - <u>5</u> = m(x - x₁).
Now, we need to place the first x value (which is the -3 in [-3, 5]) can be added into the base problem once more:
y - 5 = m(x - (<u>-3</u>)).
Because a negative number with a negative symbol in front of it creates a positive, we can change that as well:
y - 5 = m(x + 3).
Fortunately, the question provides a slope ready for use. The question says that the slope is -4, so we can place this into the equation now:
y - 5 = -4(x + 3).
I hope that this helps.
56 is 75% of
74.6667Convert the percentage into a decimal by dividing it over 100:
Divide 56 over 0.75:
Answer:
x = 70 degrees
Step-by-step explanation:
The supplement of 105 is 75 degrees, and the other angle of the triangle is 35 degrees. So x = 180-75-35 = 70 degrees
The answer is true.
For example lets say the numbers given are 1, 5, 9, ...
To find the common difference, you subtract the 1st term from the 2nd term. In this case, we would do 5 - 1, which equals 4.
We must add the common difference to the last term in order to find the next term. Since the common difference is 4, we add 4 to 9, which makes 13. This applies only in the arithmetic sequence.
