Answer:
x = 2±sqrt(11)
Step-by-step explanation:
x^2 -4x - 7 =0
Add 7 to each side
x^2 -4x -7+7 =0+7
x^2 -4x =7
To complete the square take the coefficient of the x term and divide by 2 and then square it. Add it to both sides
-4 /2 = -2 then square
(-2)^2 = 4
Add 4 to both sides
x^2 -4x+4 =7+4
x^2 -4x+4 = 11
Factor the left side into (x-b/2)^2
(x-2)^2 =11
Take the square root of each side
sqrt((x-2)^2) =±sqrt(11)
x-2 = ±sqrt(11)
Add to to each side
x-2+2 = 2±sqrt(11)
x = 2±sqrt(11)
Answer:

Step-by-step explanation:
Hello!
A linear function is written in the form of
, where m is the slope and b is the y-intercept.
Each of these expressions can be converted to coordinate form, (-2,9) and (6,7).
<h2>Slope</h2>
Slope can be calculated by the difference in the x-values divided by the difference in the y-values.
Solve
The slope is -1/4.
<h2 /><h2>Y-intercept</h2>
The y-intercept is found by plugging in the x and y values of a coordinate and the slope and then solving for b.
Solve
<h2>Equation</h2>
We can find the equation by simply plugging in all the values that we found.
Equation: 
Let's the length to be x,
then the width is 8x - 2.
Perimeter of a rectangle = 2*Width + 2*Length
Perimeter of the rectangle = 2(8x-2) + 2x = 16x - 4 + 2x = 18x - 4
Ar the same time, Perimeter of the rectangle = 88.
So, we can write
18x - 4 = 88
18x = 84
9x=42
x= 42/9 cm (length) or ≈ 4.67 cm (length)
8x - 2 = 8*42/9 - 2 ≈ 35.33 cm (width)
Answer:
x=-16
Step-by-step explanation:
4x– 15 = 17 - 4x+10x
4x+4x-10x = 17+15
-2x=32
-x=16
x=-16
Answer:
1st option
1st graph has the centre on (-1,-2) and the distance of the circumference from the centre is 2
Answered by GAUTHMATH