Answer:
x - 3y = 8.
Step-by-step explanation:
Use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
So substituting the given values:
y - (-2) = 1/3(x - 2)
y + 2 = 1/3x - 2/3 Multiply through by 3:
3y + 6 = x - 2
x - 3y = 6 + 2
x - 3y = 8 <---- Standard Form.
Distribute the negative sign
Combine like terms
-9x^2 + 7x^2 = -2x^2
9x - 3x = 6x
13 - 6 = 7
<u>Answer</u>
Answer: the maximum number of bundles of comic books that the box can carry is 7
Step-by-step explanation:
Let x represent the maximum number of bundles of comic books that the box can carry.
If comic books are bundled together in groups of 8, then the total number of comic books in x bundles of comic books would be 8x.
A box can hold a maximum of 60 comic books. Therefore, the inequality to find the maximum number of bundles of comic books that the box can carry is
8x ≤ 60
x ≤ 60/8
x ≤ 7.5
Step-by-step explanation:
well, the first solution that comes to my mind is :
8/4 + 5/1 = 7/1
2 + 5 = 7
the reason : the only numerator I can "cut" into integer pieces is 8.
5 and 7 are prime numbers.
so, it tried to keep 5 and 7 whole, and then add a part of 8 to make this equation true. and that worked right away.
The complete question in the attached figure
we know that
tan R°=opposite side angle R/adjacent side angle R
opposite side angle R=72 units
adjacent side angle R=25 units
so
tan R°=72/25
R=arc tan (72/25)---------> R=70.85°-------> R=70.9°
the answer is R=70.9°
