Answer:
Step-by-step explanation:
Using pythagoras theorem
AB²+BD²=AD²
5²+BD²=10²
25+BD²=100
BD²=100-25
BD²=75
BD=√75
BD=8.66
For triangle BDC,
Using pythagoras theorem
x²=DC²+BD²
x²=4²+75
x²= 16+75
x²=91
x=9.54
We need to isolate "y" in order to find the slope-intercept form.
Thus, we need to multiply by 2 on both sides.
y=2x+12
The equation for slope-intercept is:
y=mx+b, where m is the slope.
Thus the slope of a line parallel to 1/2y=x+6 is 2.
That is because there are many quadratic functions that have the same axis of symmetry. If a function is multiplied by a constant factor the axis of symmetry remains the same but the curved part of the graph widens or narrows.
For example x^2 + x - 6 and 2x^2 + 2x - 12 The last function will have same axis of symmetry and same roots as the first but the curved part will be narrower.
Also if we multiply the first function by -1 the curve will flip about the x axis but will have the same axis of symmetry
Answer: x=30
Step-by-step explanation:
1.Subtract 6 from both sides of the equation
2.Simplify
3.Multiply all terms by the same value to eliminate fraction denominators
4.Simplify
