9514 1404 393
Answer:
A. x² -4
B. 2x² +8
Step-by-step explanation:
The area of a square is the square of the side lengths. That means the area of each large square is x², since it has a side length of x.
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A. The area of 4 small squares is subtracted from the area of the large square to find the shaded area:
x² -4×1² = x² -4 . . . area of Figure A
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B. The area of two small squares is added to the area of two large squares to find the shaded area:
2x² +2×2² = 2x² +8 . . . area of Figure B
Answer:
Graph 1
Step-by-step explanation:
f(x) = __
In this equation (f(2) = 4) the 2 is the x value. All this question is asking is which graph shows a y value of 4 when x is 2.
Answer: 10%
Step-by-step explanation:
Since the shopkeeper purchased 60 pencil boxes for 4,500, he purchased them at the rate of:
= 4500 / 60
= 85 per pencil box
If the shopkeeper sold them at the rate of 4,125 for 50 pencil boxes, then he sold them at the rate of:
= 4125 / 50
= 82.50 per pencil box.
Therefore the percentage profit will be:
= Gain / Cost price × 100
= (82.50 - 75) / 75 × 100
= 7.5/75 × 100
= 10%
Answer:
2x + 4y = 16.
Step-by-step explanation:
14x - 7y = 8
Convert to slope-intercept form:
-7y = -14x + 8
y = 2x - 8/7
The slope is 2 so the line perpendicular to it has a slope of -1/2, so we have:
y = 1/2x + c
This line passes through the point (-2, 5) so:
5 = -1/2* (-2) + c
5 = 1 + c
c = 5 - 1 = 4
So our equation is y = -1/2x + 4.
Convert to standard from
4y = -2x + 16
2x + 4y = 16.
