Answer:
The dimensions of the rectangle are
length = 34 yards
width = 15 yards
Step-by-step explanation:
Given:
The shape is of rectangle,
Width of rectangle = x
Area of rectangle = 510 yd²
According to the given condition
Length of rectangle = 4 + 2x
To Find:
length =?
Width = ?
Solution:
We know that,

On substituting the given values we get

Which is a quadratic equation so we will apply splitting the middle term that is factorization we get
∴ 
∴ Width x = 15 yard
∴ Length = 4 + 2x = 4 +2 × 15 = 34 yard
The dimensions of the rectangle are
length = 34 yards
width = 15 yards
Answer: positive values for h translate the parabola to the right, negative values for h translate the parabola to the left
Step-by-step explanation: Note that the value for h is subtracted from x, and then this difference is squared. See that positive values for h translate the parabola to the right, negative values for h translate the parabola to the left
Step-by-step explanation:
Given
2a + b = 6......equation 1
a - 6 = b
a = b + 6........equation 2
Putting equation 2 in equation 1
2 ( b + 6 ) + b = 6
2b + 12 + b = 6
3b = 6 - 12
3b = - 6
b = - 6 / 3
Therefore b = - 2
Now
a = - 2 + 6 = 4
hope it will help :)