Answer: (0,2) Explanation: You plug in the coordinates into the equation and find which points make the equation true. Plugging in (0,2) turns the equations into (2•0) + (3•2) = 6. Simplify it and you get 6 = 6 which is true.
Answer:
Lineal.
Step-by-step explanation:
To determine if the sequence 4,10,20,34,52 ....... is a linear model, a quadratic model or a cubic model, the following mathematical logical reasoning must be carried out:
4 to 10 = +6
10 to 20 = +10
20 to 34 = +14
34 to 52 = +18
Thus, we can see at a glance that the sequence increases 4 numbers in each digit, adding first 6, then 10, then 14 and so on, with which the next numbers in that sequence should be 74 (+22), 100 ( +26), 130 (+30), 164 (+34), and so on.
Therefore, since there is no quadratic or cubic relationship, the sequence is linear.
Ok, so we know that RST is equal to 6x+12
And RST is also equal to 78 + 3x-12
so we set them equal to each other
6x + 12 = 3x - 12 + 78
And simplify
3x = 54
x = 18
Finally, we solve for the angle with 18 for x
6(18) + 12
108 + 12
120
Hope this helps
Answer:
<em>Scott will take 221 minutes to run 52 km</em>
Step-by-step explanation:
<u>Speed</u>
The speed of an object can be calculated with the formula:
Where d is the distance traveled and t is the time taken.
Scott can run d=20 km in 85 minutes. Thus, his speed is:
Now he wants to know how many minutes it will take him to run d=52 km. Solving the formula for t:
Since the speed has been already determined:
Multiplying by the reciprocal of the denominator:
t = 221 min
Scott will take 221 minutes to run 52 km
The simple formula for velocity is v=d/t. Velocity equals distance divided by time. 360 miles divided by 180 minutes. 360/180=2. The car travels at 2 miles per MINUTE.
Now, to change to miles per HOUR. There are 60 minutes in an hour, so 2*60=120 miles per hour.
Answer: 120 mph
