4/5 because look at the picture
Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .<span>X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 30/5 = 6.Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 30/-3 = -10.Slope is -5/-3 = 1.66666666666667.<span> Equation in slope-intercept form: y=1.66666666666667*x+-10.</span></span>
Subtract 36 from both sides making it: -4c-3c=-14
Now subtract -4c and 3c making it: -7c=-14
Now divide by -7 on both sides making it: c=2
There you go
The number is 5. Steps shown below
Answer:
18 in^2
Step-by-step explanation:
<em>1 )The three sides of the gutter add up to 12</em>
2x+ y = 12
<em>2) Subtract 2x from both sides. </em>
y = 12 — 2x
<em>3 )Find the area of the rectangle in terms of x and simplify.</em>
Area = xy = x(12 — 2x) = -2x^2+12x = f(x)
<em>4 ) x=-b/2a</em>
<em>x co-ordinate of the vertex= -12/2(-2)=3</em>
<em>5 )Plug in 3 for x into they equation.</em>
y co-ordinate of the vertex= 12 — 2(3) = 6
<em>6 ) Plug in 3 for x and 6 for y. </em>
Area= xy = 3(6) = 18
RESULT
18 in^2
