How will you know that the expression is a perfect square trinomial?

An expression will be said to be a perfect square trinomial if it takes the form of ax² + bx + c and if it satisfies the condition b² = 4ac.

Step-by-step explanation:

An expression which is obtained from the square of a binomial equation is known as perfect square trinomial.

Now, the conditions for which an equation will be called a perfect square trinomial are;

i) It is of the form: ax² + bx + c

I) It satisfies the condition: b² = 4ac.

Thus, the perfect square formula could take the following forms:

(ax)² + 2abx + b² = (ax + b)²

Or

(ax)² − 2abx + b² = (ax − b)²

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi