slope = 
the slope is the value of f' (36)
f(x) = √x = 
f'(x) = 
= 
f'(36) = 
=
<span>To estimate 586 - 321, you can round the numbers up or down to the nearest five.
586 can either become 570, rounding up, or 585, rounding down, which is closer. 321 becomes 320. It's not close enough to 325, nor to 315, for either of those to be good choices. 570 - 320 = 250 and 585 - 320 = 265. The actual solution to the original problem is 265, so, the second estimate, because they both go down by 1, is the closest.</span>
Answer:
Step-by-step explanation:
∠A + ∠B = 180 {supplementary angles}
8x - 25 + 7x - 5 = 180 {bring the like terms together}
8x + 7x - 25 - 5 = 180 {add the like terms}
15x - 30 = 180 {add 30 to both the side}
15x = 180 +30
15x = 210 {divide both sides by 15}
15x/15 = 210/15
x = 14
∠B = 7x - 5 = 7*14 - 5
= 98 - 5
∠B = 93°
Answer:
m∠2 = 57°
Step-by-step explanation:
From the triangle given in the picture,
By applying triangle sum theorem in ΔABC,
m∠BAC + m∠ABC + m∠BCA = 180°
90° + m∠2 + 33° = 180°
m∠2 + 123° = 180°
m∠2 = 180° - 123°
m∠2 = 57°
Answer:
12 gallons
Step-by-step explanation:
Total gallons = 16 gallons
Total distance = 460 miles
Fuel efficiency in the highway = 30 miles per gallon
Fuel efficiency in the city = 25 miles per gallon
Let
h = gallons of gasoline were used on the highway.
460 = 30h + 25(16 - h)
460 = 30h + 400 - 25h
460 - 400 = 30h - 25h
60 = 5h
h = 60/5
h = 12 gallons
12 gallons of gasoline were used on the highway.
