Step-by-step explanation:
2112 + 2212 + 2312 / 4 leaves no remainder, as already the individual numbers could be divided by 4 without remainder.
2113 = 2112 + 1
2213 = 2212 + 1
so, we get a remainder of +1 and +1 for these 2 numbers, so we get in total a remainder of +2.
The equation in y = mx+b form is y = -450x+2745
where,
x = number of hours that have passed by
y = distance to destination in miles
The y intercept is 2745 since this is the initial starting y value, aka the starting distance. Therefore b = 2745.
The slope is -450 or -450/1 since for each hour, the distance goes down by 450. You can think of it as
slope = (change in y)/(change in x)
slope = (change in distance)/(change in time)
slope = (-450 miles)/(1 hour)
slope = -450
Answer:
Answers are square root of 2, square root of 7,
Step-by-step explanation:
Irational is a number that is never ending.
Square root of 2 is irrational since there is no pattern to the number after the decimal.
10/ sqrt of 100. Sqrt of 100 is 10. 10/10 = 1 so this is not a irrational.
Sqrt of 7 does not have a pattern after the decimal point so it is irrational.
5.87 with a dash on top is rational since it means it has a pattern of continues 87's.
Last one it is equal to 2 so it is rattional.
Answer:
15 cm
Step-by-step explanation:
The altitude is one leg of the right triangle formed by the altitude, half the base, and the triangle side. The Pythagorean theorem applies, so you have ...
... (17 cm)² = (altitude)² + (16 cm/2)²
... altitude = √(17² -8²) cm = √225 cm
... altitude = 15 cm