“Draw the graph of the line with equation y=3/4x-2”
1 answer:
Step-by-step explanation:
You have multiple ways, all revolving around finding 2 points.
The easiest point to use is the y intercept (the value of y when x=0), and is the constant term, giving you
The second point can be found in a number of ways:
- Look for the x intercept (when y=0), and you will get some point by solving for x;
- put any value of x you haven't used so far (ie, 0), compute it, and you will find a second point.
- plug a "smarter" value of x that will make computation easy: in this case you have a fraction, so I would pick the denominator to simplify: (you got
, so
giving a second point
)
- since the equation is in <em>slope-intercept </em>form, Just remember the slope tells you how many vertical units you move (numerator) when you move right the number of units in the denominator, with the sign telling you up or down: in our case you move 3 up (since it's positive) every 4 "steps" right.
In any case, the graph will look something like the one in the image
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Answer:
1.6m
Step-by-step explanation:
The length of the blade is 3.2m
The angle which the blade makes is 30°
Assuming the path of the blade and the length it covers is a right-angled triangle,
The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.
See attached document for better illustration.
Using SOHCAHTOA,
Sinθ = opposite / hypothenus
opposite = x
hypothenus = 3.2
θ = 30°
Sin30 = x / 3.2
X = 3.2sin30
X = 3.2 × 0.5
X = 1.6m
The path which the snow plough clears is 1.6m
Answer: 0.88
Step-by-step explanation:
Let C is the event of drinking coffee, T is the event of drinking tea and M is the event of drinking milk.
Thus, when we make the Venn diagram of the given situation according to the given information,
Total number of people = 50
Number of people who like coffee, tea and milk = 19
Number of people who like coffee, tea but not milk = 16
Number of people who like coffee, milk but not tea = 2
Number of people who like tea, milk but not coffee = 5
Thus, the number of people who like tea only = Total people - (people who like coffee, tea but not milk + people who like coffee, tea and milk + the one who only like tea and milk but not coffee)
= 50 - ( 16 + 19 + 5) = 50 - 46 = 4
Thus, Total number of the person who like milk = 16 + 19 + 5 + 4 = 44
⇒ Probability that this person likes tea = =
