Answer:
x = 5 and -6
Step-by-step explanation:
Using the intersecting chord theorem which states that the products of the lengths of the line segments on each chord are equal.
Hence:
let
a = 6, b = 5, c = x+1 and d = x
Therefore, ab = cd
6*5 = x(x+1)
30 = x²+x
x²+x - 30 = 0
x²+ 6x - 5x - 30 = 0
x(x+6) - 5(x+6) =0
(x-5)(x+6) = 0
x-5 =0 and x+6 = 0
x = 5 and -6
Answer:
∠H≅∠B
GH/DJ = AB/DC
Step-by-step explanation:
Answer:
![b = 0.0138](https://tex.z-dn.net/?f=b%20%3D%200.0138)
Step-by-step explanation:
Given
Regression Equation:
![DD=2.69+0.0138D](https://tex.z-dn.net/?f=DD%3D2.69%2B0.0138D)
Required
Determine the slope of the regression line
The equation of regression is of the form
![Y = a + bX](https://tex.z-dn.net/?f=Y%20%3D%20%20a%20%2B%20bX)
Where b represents the slope;
Compare
to the given equation
![DD=2.69+0.0138D](https://tex.z-dn.net/?f=DD%3D2.69%2B0.0138D)
We have that:
![Y = DD](https://tex.z-dn.net/?f=Y%20%3D%20DD)
![a = 2.69](https://tex.z-dn.net/?f=a%20%3D%202.69)
![b = 0.0138](https://tex.z-dn.net/?f=b%20%3D%200.0138)
![X = D](https://tex.z-dn.net/?f=X%20%3D%20D)
Hence; the slope is:
![b = 0.0138](https://tex.z-dn.net/?f=b%20%3D%200.0138)
Answer:
$11.31
Step-by-step explanation:
$14.50x .22= 3.19
$14.50- 3.19= 11.31
Since it was stated that the equation is linear, therefore
we can use the slope point formula to find for the slope and intercepts. The
linear equation has a form of:
y = mx + b
where y is the retail price, x the wholesale price, m the
slope and b the y-intercept
m = (y2 – y1) / (x2 – x1)
m = (238 – 112) / (175 – 85)
m = 1.4
So the equation now becomes:
y = 1.4x + b
Plugging in any pair to find for b:
112 = 1.4(85) + b
b = -7
So the full equation is:
<span>y = 1.4x - 7</span>
<span>or</span>
<span>R = 1.4C - 7</span>