<h3>
Answer:</h3>
B. 3x +y = 4
<h3>
Step-by-step explanation:</h3>
It is perhaps easiest to simply try the equations to see which one works.
For x=0, there are two different kinds of answers:
... A and C: -y = 4
... B and D: y = 4
Since we know y=4 when x=0 (from the point (0, 4)), we can eliminate choices A and C.
___
Using the point (1, 1), you can try choices B and D to see which works:
... B: 3·1 +1 = 4 . . . . true (put 1 where x and y are in the equation)
... D: -3·1 +1 = -2 = 4 . . . . false
The appropriate choice is the equation of B: 3x +y = 4.
_____
<em>Derive the equation from the given points</em>
There are several ways you can derive the equation. Since you have the y-intercept (the point with x=0), you can use the slope-intercept form to start.
The slope (m) is ...
... m = (change in y)/(change in x) = (4 -1)/(0 -1)
... m = -3
We know the y-intercept (b) is 4, so the slope-intercept form of the equation is ...
... y = mx +b
... y = -3x +4
Adding 3x puts this in standard form:
... 3x +y = 4
Dividing with a 2 digit divisor is simple...
for example...
25/125
25 goes into 125, five times
25x5=125
5 would be the answer.
its the same thing as dividing with a one digit divisor. its just two digits instead.
hope this helps
To solve this problem, we must do a method of trial and error to find
for the next highest integer with exactly three factors. We know that the value
of k must be greater than 4, therefore by using trial and error to find for the
correct answer:
Factors of 5:1, 5
Factors of 6:1, 2, 3, 6
Factors of 7:1, 7
Factors of 8:1, 2, 4, 8
Factors of 9:1, 3, 9
Therefore we stop at 9 since this is already our answer. It has exactly
three factors.
The sum of the factors is:
sum of factors = 1 + 3 + 9
<span>sum of factors = 13</span>
Answer:
the car is traveling 60 miles per hour
Step-by-step explanation:
Since it is going 30 miles in half an hour, we just need to double both values to find the speed for an hour
30*2=60
1/2*2=1
60 miles per hour
hope this helps pls give crown <3
Use sine = opposite / hypotenuse