Answer:
x = -1
Step-by-step explanation:
Given the point, (-1, 2), and that the slope is <u><em>undefined</em></u>.
The standard linear equation of vertical lines is <em>x</em> =<em> a</em>, where the x-intercept is (<em>a</em>, 0), and the slope is undefined because all points on the line have the same x-coordinate. Attempting to solve for the slope of a vertical line using the slope formula, m = (y₂ - y₁)/(x₂ - x₁), will result in a mathematical operation of <u>division by zero</u> (which is an <em>undefined operation</em>).
Since the slope is <u>undefined</u>, then it is <u>not possible</u> to create a linear equation in either the slope-intercept form, or point-slope form.
Therefore, the equation of a vertical line given the point, (-1, 2) is <em>x</em> = -1.
Answer:
See below (I hope this helps!)
Step-by-step explanation:
We need to write this in the form y = mx + b.
x + 3y = -12
3y = -x - 12
Ex. 9 divided by 3=3 because 3x3=9
2.) Given: There are 30 students. 24 are wearing sneakers.
Work: We can figure this out by finding the exact percentage of sneaker-wearers in the class.
To find the percentage, you do 24/30. 24/30 is equal to 80%.
Answer: Joe is wrong. The percentage of students wearing sneakers is 80% and not 70%.
3.) Given: There are 40 people total. 2 women per 3 men.
Work: 2:3 women to men
If we multiply both by 10, we will get 50 people in total.
20:30 = 50
So we need to shrivel this down to 40 by taking out 5 on both sides of the ratio.
50 - 5 - 5 = 15:25 = 40
But the ratio need to be divisible by 2 because of the 2 women that are needed per 3 men. We can do this by moving over one human to the men’s side.
There are 14 women and 26 men. I didn’t use any of the strategies there listed because I don’t even remember what those are. I’m in grade 9. I would say that the ratio table works best because I just used ratios...
4.) Given: Find simplified fraction of silicon. 100%.
Work: Add all things up to find out the denominator for the fraction. They will equal 100.
So the fraction is 28/100.
We can divide this fraction by 4.
7/25
This is the simplified form.
Answer: 7/25
Answer:
So the sqrt(46) is between 6 and 7
Step-by-step explanation:
sqrt(46)
5*5 = 25
6*6=36
7*7=49
So the sqrt(46) is between 6 and 7
