Answer:
a=9
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2 + b^2 = c^2
a^2 +40 ^2 = 41^2
a^2 + 1600 = 1681
a^2 = 1681-1600
a^2 = 81
Take the square root of each side
sqrt(a^2) = sqrt(81)
a = 9
Answer:
17
Step-by-step explanation:
Let x represent the smaller integer. Then we have ...
(x +1)² +(x +2)² = 40x +5
2x² +6x +5 = 40x +5
x² -17x = 0 . . . . . subtract (40x+5), divide by 2
x(x -17) = 0 . . . . . factor
The solution of interest is x = 17.
The smaller integer is 17.
Answer:
21 is the answer for 18x +3
Step-by-step explanation:
18x + 3
x=3+18
x=21
Answer:
180
Step-by-step explanation:
From the table :
Slope :
m = (y2 - y1) / (x2 - x1)
m = (100 - 80) / (5 - 4)
m = 20 / 1
m = 20
y = 20x
Hence, when, x = 12
y = 20 * 12
y = 240
From the graph:
Slope :
m = (y2 - y1) / (x2 - x1)
m = (280 - 70) / (8 - 2)
m = 210 / 6
m = 35
y = 35x
When x = 12
Graph :
y = 35 * 12
y = 420
Difference :
420 - 240
= 180
Subtract 6 from 50:
50-6 = 44
Divide 44 by 2:
44/2 = 22
add 6:
22+6 = 28
There is 22 in the smaller class and 28 in the larger class.
