It would be y=(x+4)²+9.
To complete the square, we divide the value of b, the coefficient of x, by 2 and square it:
(8/2)² = 4² = 16
We would add 16 to this in order to have a perfect square; but we would also need to subtract 16 at the end to keep it equal. This would give us:
y=(x²+8x+16)+25-16
y = (x+4)² + 9
Answer:
48/49
Step-by-step explanation:
divison and multiplcation
Answer:
x<8
Step-by-step explanation:
Open parenthesis first:
3x-6<18
Put all like terms on one side:
3x<18+6
3x<24
Simplify:
3x<24 -----> Divide both sides by 3 to cancel out the 3 in 3x.
x<8
<em>~Stay golden~ :)</em>
Answer:
Rectangle and Parallelogram
Step-by-step explanation:
Quadrilaterals are closed figures with four sides. Examples are: square, rectangle, parallelogram etc.
In the given question,
i. one of the parallelograms would be a rectangle since it has 4 right angles and two pairs of parallel lines.
ii. the other would be a parallelogram since it has two pairs of parallel lines and angles are not right angles.
The two quadrilaterals would be rectangle and parallelogram.
Answer:
Car B is faster
Car B is ×1.125 times faster
Step-by-step explanation:
Car A:
went 60 km in 5/6 hour
then
went 60/5 = 12 km in 1/6 hour
then
went 12 ×6 = <u><em>72 km</em></u> in 6/6 = 1 hour
Car B:
went 54 km in 2/3 hour
then
went 54/2 = 27 km in 1/3 hour
then
went 27 × 3 = <u><em>81 km</em></u> in 3/3 = 1 hour
81÷72 = 1.125