Answer:
Answer to the triangle will be 12
Answer:
see the explanation
Step-by-step explanation:
<u><em>The complete question is</em></u>
The first three steps of completing the square to solve the quadratic equation x2 +4x -6= 0, are shown below.
Step 1: x2 +4x= 6
Step 2: x2 +4x+4=6+4
Step 3: (x +2)^2=10
What are the next 3 steps?
we have
step 4
Take square root both sides
![\sqrt{(x+2)^2} =\sqrt{10}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x%2B2%29%5E2%7D%20%3D%5Csqrt%7B10%7D)
step 5
Simplify
![x+2=\pm\sqrt{10}](https://tex.z-dn.net/?f=x%2B2%3D%5Cpm%5Csqrt%7B10%7D)
step 6
Solve for x
subtract 2 both sides
![x=-2\pm\sqrt{10}](https://tex.z-dn.net/?f=x%3D-2%5Cpm%5Csqrt%7B10%7D)
![x_1=-2+\sqrt{10}](https://tex.z-dn.net/?f=x_1%3D-2%2B%5Csqrt%7B10%7D)
![x_2=-2-\sqrt{10}](https://tex.z-dn.net/?f=x_2%3D-2-%5Csqrt%7B10%7D)
Answer:
A
Step-by-step explanation:
Congruent angles are angles that have the same angle.
Those red squares in the corner of ∠DFE and ∠BFC mean they are 90°
I hope this helps you! :)
Answer:
<h2>
![- 2(2 {x}^{2} - 5x - 2)](https://tex.z-dn.net/?f=%20-%202%282%20%7Bx%7D%5E%7B2%7D%20%20-%205x%20-%202%29)
</h2>
Solution,
![- 4 {x}^{2} + 3x - 5 - ( - 7x - 9)](https://tex.z-dn.net/?f=%20-%204%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20-%205%20-%20%28%20-%207x%20-%209%29)
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression
![- 4 {x}^{2} + 3x - 5 + 7x + 9](https://tex.z-dn.net/?f=%20-%204%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20-%205%20%2B%207x%20%2B%209)
Collect like terms
![- 4 {x}^{2} + 3x + 7x - 5 + 9](https://tex.z-dn.net/?f=%20-%204%20%7Bx%7D%5E%7B2%7D%20%20%2B%203x%20%2B%207x%20-%205%20%2B%209)
![- 4 {x}^{2} + 10x - 5 + 9](https://tex.z-dn.net/?f=%20-%204%20%7Bx%7D%5E%7B2%7D%20%20%2B%2010x%20-%205%20%2B%209)
Calculate the sum
![- 4 {x}^{2} + 10x + 4](https://tex.z-dn.net/?f=%20-%204%20%7Bx%7D%5E%7B2%7D%20%20%2B%2010x%20%2B%204)
Factor out -2 from the expression
![- 2(2 {x}^{2} - 5x - 2)](https://tex.z-dn.net/?f=%20-%202%282%20%7Bx%7D%5E%7B2%7D%20%20-%205x%20-%202%29)
Hope this helps ...
Good luck on your assignment...
Answer:
y - 9 = - 2(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = - 2 and (a, b ) = (1, 9 ) , then
y - 9 = - 2(x - 1) ← is the equation of the line