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2 years ago

How would you identify a perfect square trinomial? Give an example.

Mathematics

1 answer:

belka [17]2 years ago

7 0

Answer:

"Perfect square trinomials" are quadratics which are the results of squaring binomials. (Remember that "trinomial" means "three-term polynomial".)

For instance:

(x + 3)2

= (x + 3)(x + 3)

= x2 + 6x + 9

...so x2 + 6x + 9 is a perfect square trinomial.

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What is the value of the expression when a = 4, b = 3 , and c = 10?

daser333 [38]

Answer:

3a4b-c

3(4)4(3)-10

12(12)-10

144-10

=134

Step-by-step explanation:

8 0

3 years ago

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The table of values represents an exponential function f(x).

Ostrovityanka [42]

Answer:

-3.98 (nearest hundredth)

Step-by-step explanation:

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

$\dfrac{f(b)-f(a)}{b-a}$

Given interval: -2 ≤ x ≤ 2

$\implies a = -2$

$\implies b = 2$

$\implies f(a) = f(-2)=16$

$\implies f(b) =f(2)= \dfrac{1}{16}$

Substituting the values into the equation:

$\begin{aligned}\implies \textsf{rate of change} & =\dfrac{\frac{1}{16}-16}{2-(-2)}\\\\ & = \dfrac{-\frac{255}{16}}{4}\\\\ & = -\dfrac{255}{64}\\\\ & = -3.98\: \sf (nearest\:hundredth)\end{aligned}$

7 0

1 year ago

A circle is divided into 8 equal parts. What is the total<br>angle measure of 4 parts?<br>

snow_lady [41]

Answer:

Step-by-step explanation:

A circle is divided into 8 equal parts means : 360°/8 = 45°

the total angle measure of 4 parts is :

45°×4=180°

4 0

3 years ago

A cone with radius 2 and height 9 has its radius tripled. How many times greater is the volume of the larger cone than the small

SpyIntel [72]

Answer:

When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times

Step-by-step explanation:

We have that the formula for the volume of a cone is:

Vc = pi * (r ^ 2) * h

We first calculate the original volume, where the radius is 2 and the height is 9, replacing:

Vc = 3.14 * (2 ^ 2) * 9

Vc = 113.04

Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:

Vc = 3.14 * (6 ^ 2) * 9

Vc = 1017.36

If we compare:

1017.36 / 113.04 = 9

This means that when the radius is tripled, the volume increases 9 times.

When if re reduces to a third the radius would be: 2/3, replacing:

Vc = 3.14 * ((2/3) ^ 2) * 9

Vc = 12.56

113.04 / 12.56 = 9

Which means that by reducing it to a third the volume becomes 9 times smaller.

6 0

3 years ago

The value of (2+3)(2-3) is

NARA [144]

Step-by-step explanation:

(2+3)(2-3)

=5×(-1)

= -5

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have a great day

7 0

2 years ago

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