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.
21/49 in simplist from would be 3/7.
Your answer is <em>3/7</em>
Answer: There are 32 pints of first type and 128 pints of second type in mixture.
Step-by-step explanation:
Since we have given that
Percentage of pure fruit juice in first type = 60%
Percentage of pure fruit juice in second type = 85%
Percentage of pure fruit juice in mixture = 80%
We will use "Mixture and Allegation" to find the ratio of first and second type in mixture:
First type Second type
60% 85%
80%
------------------------------------------------------------------------
85-80 : 80-60
5% : 20%
1 : 4
so, the ratio of first and second type is 1:4.
Total number of pints of mixture = 160
Number of pints of mixture of first type in mixture is given by

Number of pints of mixture of second type in mixture is given by

Hence, there are 32 pints of first type and 128 pints of second type in mixture.
Answer:

Step-by-step explanation:
x =135(being opposite angles of a parallelogram)
Answer:
1/3
Step-by-step explanation:
The number of people over 40 is 20 + 30 + 35 = 85.
So the probability is 85/255, which reduces to 1/3.