<span>4x+10=6x-2
</span>2x = 12
x = 6
Answer:
a,
b,
Step-by-step explanation:
Given
Solving (a): Books using 5 small and 7 large boxes;
This is calculated as follows
For Small box
For large box:
Solving (b): s small and l large
We use the same concept as (a) above:
For Small Box
For large box
Note that
25 + 36 = 61.
The partial sums of 61 are
1, 3, 6, 10, 15, 21, 28, 36, 45, 55.
These numbers arise in partial sums of 61.
4 = 1 + 3
6 is a partial sum
11 = 1 +10
31 = 10 + 21
36 is a partial sum
41 cannot be obtained from partial sums.
56 = 28 + 28
61 is a partial sum
Test the given answers.
A) 11,31,61 qualify as partial sums. It is correct.
B) 11,31,61 qualify as partial sums. It is correct.
C) 11 and 61 qualify as partial sums, but 41 does not. It is incorrect.
D) 36,56,61 qualify as partial sums. It is correct.
Answer:
C) is incorrect.
Answer:
y= -2x
Step-by-step explanation:
To find the slope, convert the standard form of the equation into slope intercept form, y=mx+b.
5x-10y=-12
-10y=-5x-12
y=1/2 x + 1.2
The slope is 1/2 and the slope of the new line will be -2 because the negative reciprocal create a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-8)=-2(x--4)
y-8=-2(x+4)
y-8=-2x -8
y= -2x +0