Answer:
The one on the right is 25 percent smaller then the one on the left. They have he same angle measures. The line lengths are just different.
Step-by-step explanation:
Hope this helps.
A quadratic equation has the general form
of: <span>
y=ax² + bx + c
It can be converted to the vertex form in order
to determine the vertex of the parabola. It has the standard form of:
y = a(x+h)² - k
This can be done by completing a square. The steps are as follows:
</span><span>y = 3x2 + 9x – 18
</span>y = 3(x2 <span>+ 3x) – 18
</span>y + 27/4= 3(x2 <span>+ 3x+ 9/4) – 18
</span>y = 3(x2 + 3/2)^2 – 99<span>/4
</span>
Therefore, the first step is to group terms with the variable x and factoring out the coefficient of x^2.
Answer:
Step-by-step explanation:
Area A = 15square cm
Length L = x
Width w = x - 2
Area = L × w
15 = x(x - 2)
15 = x^2 -2x
x^2 -2x - 15 = 0
Solving by factorization
x^2 - 5x + 3x - 15 = 0
(x^2 -5x) + (3x -15) = 0
x(x - 5) + 3(x - 5) = 0
(x + 3)(x - 5) = 0
(x + 3) = 0 or (x - 5) = 0
x = -3 or 5
Since x can't be negative therefore x is 5cm
Length = 5cm
Width = 5-2 = 3cm
Answer:
C) (-4, 2)
Step-by-step explanation:
It is easier to begin by putting the y equation back into the x equation so it would be rewritten as:
x= 2 (-2x - 6) - 8
Since you replace the y for the given y value
Distribute and you get
x = -4x -12 -8
Add 4x to both sides to get rid of it on the right and balance the equation
5x = -12-8 which is -20
5x = -20
divide by 5 gives you the value -4 for the x
Now simply put that value in for the y equation
y= (-2 (-4)) -6
y = 8 - 6
y = 2
