Answer:
x = -2bm/(m²+1)
Step-by-step explanation:
One line has equation
... y = mx + b
The slope of the perpendicular line is the negative reciprocal of the slope of the original line. The perpendicular line with the opposite y-intercept has equation
... y = (-1/m)x - b
The point of intersection is where the x- and y-values are equal, so ...
... mx + b = (-1/m)x - b
... (m +1/m)x = -2b . . . . . . . add 1/m - b to both sides
... (m²+1)x = -2bm . . . . . . . multiply by m
... x = -2bm/(m²+1) . . . . . . divide by the coefficient of x
Answer: y= -7 y= -5 y= -3 y= -1
Step-by-step explanation:
Half it and then multiply and divide
Answer:
15. 17.5 ft
16. XZY ~ RPQ only
Step-by-step explanation:
15. The figure shows you the height of the object is 5/6 the length of its shadow. Then the height of the tree will be (5/6)·21 ft = 17 1/2 ft.
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16. Triangles are similar when they have all the same angles. In the given triangles, you have ...
angle X = angle R = 32° . . . . (no corresponding angle in the third triangle)
angle Z = angle P = 64°
angle Y = angle Q = 84°
The triangle vertices need to be named in the order in which they correspond, so we can say, for example, ...
triangle XZY ~ triangle RPQ
What do you mean is there an image
