What is the value of the blue dot?
1 answer:
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Given coordinates (1,3) and (0,1).
In order to find the equation of line, we need to find the slope between given coordinates.
We know slope formula,
m=
We have (x1,y1) = (1,3) and (x2,y2) = (0,1).
Plugging values of x1,y1,x2 and y2 in slope formula, we get
Simplifying top and bottom of the fraction we got for slope
We got slope m=2.
We are given second point (0,1), where x-coordinate is 0 and y-coordinate is 1.
y-intercept is a point on y-axis, where x=0.
Therefore, y-intercept = 1.
Now, applying slope-intercept form of the linear equation
y=mx+b, where m is the slope and b is y-intercept.
m=2 and b=1.
Plugging values of m and b in slope-intercept form, we get
y=2x+1.
Therefore, point-slope form for the line is y=2x+1.
Answer:
Step-by-step explanation:
The area of a trapezium is given as;
Area = (a + b)h
where: a is the length of the upper side, b is the length of its base and h is its height.
This implies that; a = x - 4, b = x + 5, h = 2x and area = 351
Thus,
351 = ((x - 4) + (x + 50)) 2x
= (x - 4 + x + 5) x
531 = (2x + 1) x
= 2 + x
So that;
2 + x - 531 = 0
This gives a quadratic equation.