Answer:
The equation of the line through the points (-5, 2) and (-2, 6) is 
.
Step-by-step explanation:
The point-slope form of the equation of the line is defined by this formula:
(1)
Where:
- Independent variable.
- Dependent variable.
- Slope.
, 
- Coordinates of the first point.
In addition, the slope of the line can be determined in terms of two distinct points:
(2)
Where 
, 
are the coordinates of the second point.
If we know that 
, 
, 
and 
, then the equation of the line is:
The equation of the line through the points (-5, 2) and (-2, 6) is .
Answer:
7. x = -2 +/- 
8. x = 2 or x = 6
9. x = -2 +/- 
10. t = -3 +/- 
Step-by-step explanation:
7. Subtract 320 from both sides: 4(x + 2)^2 = -320
Divide by 4: (x + 2)^2 = -80
Square root both sides: x + 2 = +/- 
. We need to add the imaginary i to this: +/- = +/- 
= +/-
Subtract 2 from both sides: x = -2 +/-
8. Add 18 to both sides: 7(x - 4)^2 = 28
Divide by 7: (x - 4)^2 = 4
Square root both sides: x - 4 = +/- 2
Add 4 to both sides: x = 4 +/- 2 ⇒ x = 2 or x = 6
9. Add 5 to both sides: -2(x + 2)^2 = 13
Divide by -2: (x + 2)^2 = -13/2
Square root both sides: x + 2 = +/- 
. We again need i: +/- = +/- 
+/-
Subtract 2 from both sides: x = -2 +/-
10. Multiply by 5 on both sides: (t + 3)^2 = 35
Square root both sides: t + 3 = +/-
Subtract 3: t = -3 +/-
Hope this helps!
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A = l*w
6112 = l*28
l = 6112/28
l = 218.2857143
B x h = a
11 x h = 132
h = 132/11
h = 12 cm
