Answer:
see explanation
Step-by-step explanation:
The directed lines have the form < x, y >
With the usual notation
right in x- direction → +
left in x- direction → -
up in y- direction → +
down in y- direction → -
21
EF = < 4, 1 >
22
FG = < 4, - 2 >
23
GH = < - 4, - 2 >
24
EH = < 4, - 3 >
• The value of the discriminant ,D= -16
,
• The solution to the quadratic equation is

Step - by - Step Explanation
What to find?
• The discriminant d= b² - 4ac
,
• The solution to the quadratic equation.
Given:
5x² - 2x + 1=0
Comparing the given equation with the general form of the quadratic equation ax² + bx + c=0
a=5 b=-2 and c=1
Uisng the quadratic formula to solve;
![x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
The discriminant D=b² - 4ac
Substitute the values into the discriminant formula and simplify.
D = (-2)² - 4(5)(1)
D = 4 - 20
D = -16
We can now proceed to find the solution of the quadratic equation by substituting into the quadratic formula;
![x=\frac{-(-2)\pm\sqrt[]{-16}}{2(5)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-2%29%5Cpm%5Csqrt%5B%5D%7B-16%7D%7D%7B2%285%29%7D)
Note that:
√-1 = i
![x=\frac{2\pm\sqrt[]{16\times-1}}{10}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%5B%5D%7B16%5Ctimes-1%7D%7D%7B10%7D)
![x=\frac{2\pm\sqrt[]{16}\times\sqrt[]{-1}}{10}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%5B%5D%7B16%7D%5Ctimes%5Csqrt%5B%5D%7B-1%7D%7D%7B10%7D)




That is;
Answer:
21
Step-by-step explanation:
Step 1:
0.6x - 0.1 = 0.5x + 2 Equation
Step 2:
0.1x - 0.1 = 2 Subtract 0.5x on both sides
Step 3:
0.1x = 2.1 Add 0.1 on both sides
Step 4:
x = 2.1 ÷ 0.1 Divide
Ansewr:
x = 21
Hope This Helps :)
geometry texts refer to an angle with a measure of 180° as a straight angle. In Figure 12 , ∠ BAC is a straight angle.
Step-by-step explanation: