Answer:
The equation of the line would be y = 1/5x + 8
Step-by-step explanation:
Since the slope of k is -5, the slope of j has to be 1/5. This is because perpendicular lines have opposite and reciprocal slopes.
Now we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 9 = 1/5(x - 5)
y - 9 = 1/5x - 1
y = 1/5x + 8
Answer:
Number 1 and Number 4
Step-by-step explanation:
By factoring, you can figure out the roots (x = -2 or x = 2)...
1. x^2 - 4 = 0
--> (x + 2)(x - 2) = 0
--> x = -2, x = 2
2. x^2 + 4 = 0
--> factors weirdly, so I won't write it. You'd have to use the quadratic formula.
3. 3x^2 + 12 = 0
--> 3 (x^2 + 4) = 0
--> factors weirdly (same as above)
4. 4x^2 - 16 = 0
--> 4 (x^2 - 4) = 0
--> 4 (x+2) (x-2) = 0
--> x = -2, x = 2
5. 2 (x-2) 2 = 0
--> x = 2
Answer:
8x40=320
Step-by-step explanation:
The answer is basically just 4*4*4 so your answer is 64
The area of the resulting two-dimensional cross section with the dimensions shown in the figure can be determined by simply using the formula for the area of a rectangle.
Given:
Length = 12 mm
Width = 7 mm
Area = L x W
Area = 12 mm x 7 mm
Area = 84 mm^2