Answer:
It would be 3
Explanation:
Let me know if it’s right and ask questions if you have any!
a = 1, b =14 and y-coordinate is 6 when x = 0.
Solution:
Let us first write the equation of a line.
Take the points are (2, 2) and (6, 10).
Slope of the line:
m = 2
Point-slope formula:
y - 10 = 2(x - 2)
y - 10 = 2x - 4
Add 10 on both sides,we get
y = 2x + 6
Equation of a line is y = 2x + 6.
To find (a, 8), substitute x = a and y = 8 in the equation,
8 = 2a + 6
Subtract 6 from both sides, we get
2 = 2a
a = 1
To find (4, b), substitute x = 4 and y = b in the equation,
b = 2(4) + 6
b = 8 + 6
b = 14
Substitute x = o in the equation.
y = 2(0) + 6
y = 6
The y-coordinate is 6 when x = 0.
10 metres will be the answer hope it helped :)
Height over shadow
H/S
9 in is 9/12=.75
So
Boys height /shadow. Flags height /shadow
4.75/6= X/19
Cross multiply
6x= 90.25
Divide by 6
X= 15.0
The equation of line CD in standard form is: B. 5x - 3y = 30
<h3>How to determine the equation of line CD in standard form?</h3>
Mathematically, the standard form of the equation of a straight line is given by this mathematical expression (linear function);
y = mx + c
Where:
- x and y are the points.
- m represents the slope, gradient, or rate of change.
- c represents the intercept.
Next, we would determine the slope of this line by using this formula:
Slope, m = Δy/Δx
Slope, m = Change in y-axis/Change in x-axis
Slope, m = (0 + 5)/(6 - 3)
Slope, m = 5/3
At point (6, 0), the point-slope equation of the line is given by:
y - y₁ = m(x - x₁)
y - 0 = 5/3(x - 6)
y = 5x/3 - 30/3
y = 5x/3 - 10
Multiplying all through by 3, we have:
3y = 5x - 30
Rearranging the equation, we have:
5x - 3y = 30
Read more on slope here: brainly.com/question/7748981
#SPJ1
