Answer: 2x
2
+5x−3
Step-by-step explanation:
2x
2
−x+6x−3
2x
2
+(−x+6x)−3
Sketch a right
triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x”
and assigning angle “a” as the angle between A and H. Using Pythagorean theorem,
you will get “square root of x-squared minus 9” as the opposite side (O). Using
SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) =
x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side
over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the
algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.
(3x +3) (x - 4)
3x(x - 4) + 3(x - 4)
3x^2 - 12x + 3x - 12
3x^2 - 9x - 12
Answer:
Step-by-step explanation:
Use the point-slope formula.
y - y_1 = m(x - x_1) .... x_1 = 3 and y_1 = - 1
m is the slope to x - 3y = 9 because (lines are parallel )
calculate : m by equation x - 3y = 9 :
x = 3y +9
divid by : 3 1/3 x = y + 3
y = (1/3) x - 3 so : m = 1/3
an equation parallel to x - 3y = 9 that passes through the point ( 3, -1 ) is :
y +1 = (1/3)(x - 3)
Answer:
24
Step-by-step explanation:
the area of the triangle is 4 x 2, which equals 8.
Then you calculate the area of the rectangle.
Area of Rectangle = L x W or (in this case) 8 x 4
8 x 4 = 32
Then you subtract the area of the triangle from the area of the rectangle
So, your equation would be 32 - 8 = 24
Therefore, the area of the shape is 24
