I think it’s x = 2
-20-12x+10=-34
-10-12x=34
-34+10
-24 divided by 12 = -2
Answer:
(x + 4)(2x - 3)
Step-by-step explanation:
Given
f(x) = 2x² + 5x - 12
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × -12 = - 24 and sum = + 5
The factors are + 8 and - 3
Use these factors to split the x- term
2x² + 8x - 3x - 12 ( factor the first/second and third/fourth terms )
2x(x + 4) - 3(x + 4) ← factor out (x + 4) from each term
(x + 4)(2x - 3)
Thus
f(x) = 2x² + 5x - 12 = (x + 4)(2x - 3) ← in factored form
Answer:
y+4 = -1/6(x-9) point slope
y = -1/6x -2.5 slope intercept
Step-by-step explanation:
The point slope form is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is the point
y- -4 = -1/6(x-9)
y+4 = -1/6(x-9)
Distribute to get to slope intercept form
y+4 = -1/6x +9/6
y+4 = -1/6x +3/2
Subtract 4 from each side
y+4-4 = -1/6x +3/2 -4
y = -1/6x +3/2 -8/2
y = -1/6x -5/2
y = -1/6x -2.5
The orientation of the ladder with the wall forms a right triangle. The ladder length is the hypotenuse of the triangle, the distance between the ladder at ground level and the base of the wall is the horizontal leg of the triangle, the height of the ladder is the vertical leg of the triangle.
Since we have a right triangle, we can use the Pythagorean theorem.
Let x = the height of the ladder
Write the equation for the Pythagorean theorem using the information.
x2 + 162 = 232
Solving for x, we have
x2 = 232 - 162
x = √(232 - 162)
x = √(529 - 256)
x = √(273)
x = 16.52
The ladder reaches 16.52 feet high.
