Answer: The value of a is -6.
Step-by-step explanation:
To do this we need to find the y-intercept first.
-2= 4(1/2) + b
-2=2+ b
-2 -2
b= -4 so now the y-intercept is -4 so we will now have the equation y= 1/2x -4
so now put -4 into the equation for x and solve for y.
y= 1/2(-4) -4
y = -6
Answer: x = 6.46153846
Step-by-step explanation:
We are given the equation <em>13x - 4 +100 = 180</em>, and we must find the value of <em>x</em>. In order to do that get x on on one side by itself and a constant on the other side by itself.
This first step is to combine like terms. <em>13x</em> is by itself. <em>-4 + 100 = 96</em>. This gives us the equation <em>13x +96 = 180</em>.
In order to get <em>x </em>by itself, subtract 96 from each side of the equation. This gives us the equation 13x = 84.
Next, divide each side by 13 to find x. This gives us x = 6.46153846
Hope this helps! Have a nice day!
Answer:
x=7; NL=12; NP+20
Step-by-step explanation:
9514 1404 393
Answer:
24 feet
Step-by-step explanation:
The side adjacent to the angle is given, and the hypotenuse of the triangle is the unknown. The cosine relation applies:
Cos = Adjacent/Hypotenuse
hypotenuse = ladder length = (5 ft)/cos(78°) ≈ 24.0 ft
The ladder is about 24 feet long.