a² + 2ab + b² = (a+b) * (a + b) <span>pattern condensed multiplication</span>
x² + 10x + 25
a² + 2ab + b²
(1x)² + 2*1x*5 + (5)² = (a+b)*(a+b)
a=x 2ab= 10x b=5 = (x+5)*(x+5)
Answer : (x+5)*(x+5)
Answer:
a. 
b. 
Step-by-step explanation:
Given
<em>Direct Variation</em>
D = 264 cm when T = 11 s
Calculating (a)
First, the constant of variation (k) as to be calculated;
Since, there exist a direct proportion; then,
Make k the subject of formula
<em>D = 264 cm when T = 11 s; So</em>
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<em />
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So: Solving for (a)
Substitute 408 for D and 24 for k in
Divide both sides by 24
<em>Hence, time to move a distance of 408cm is 17s</em>
Calculating (b)
Substitute 3 for T and 24 for k in
<em>Hence, distance covered in 3 seconds is 72cm</em>
Answer:
B- 125
Step-by-step explanation:
c + a = 400
a = 400 - c
5c + 8a = 2825
5c + 8(400 - c) = 2825
5c + 3200 - 8c = 2825
3c = 375
c = 125
Y - 2x = 2 ....put in y = mx + b form
y = 2x + 2
In y = mx + b form, the slope will be in the m position and the y intercept will be in the b position.
y = 2x + 2.....so we have a slope(m) of 2, and a y int (b) = (0,2)
the x intercept can be found by subbing in 0 for y and solving for x
0 = 2x + 2
-2x = 2
x = -2/2
x = -1......so the x int is (-1,0)
go ahead and plot ur intercepts....(-1,0) and (0,2)......and since ur slope is 2, start at (-1,0) and go up 2 spaces and to the right 1 space, then up 2 and to the right 1........thats ur line and it crosses the y axis at (0,2)
