Answer:
angle ABC = 30°
Step-by-step explanation:
I attached a picture. if any part is not understandable leave a comment.
Answer:
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This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.
We know that the line passes through A(3,-6), B(1,2)
All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.
So we can check which line passes through which point:
a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok
b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****
c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok
d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.
Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
we are given two points as
(2,4) and (-2,-4)
Let's assume
first point as (x1,y1)=(2,4)
so, x1=2 and y1=4
Second point as (x2,y2)=(-2,-4)
so, x2=-2 and y2=-4
now, we can use slope formula
now, we can plug values
now, we can simplify it
so, slope is 2 ..................Answer
The scale of the drawing is larger than the actual object, because for every 2 centimeters shown, the actual object is 1 millimeter long.
