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kupik [55]
3 years ago
13

What constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles?

Mathematics
2 answers:
gayaneshka [121]3 years ago
3 0
The algebra tiles show two equal factors. They are (x + 4).


Then, the perfect square is the product of the two equal factors, (x + 4) * (x +4).


That is (x + 4)^2.


Then develop that perfect square to find the constant term.


(x + 4)^2 = x^2 + 8x + 16.


That means that the constant term needed to complete the trinomial is 16.


Answer: 16    
Ipatiy [6.2K]3 years ago
3 0

Answer:

The algebra tiles show two equal factors. They are (x + 4).

Then, the perfect square is the product of the two equal factors, (x + 4) * (x +4).

That is (x + 4)^2.

Then develop that perfect square to find the constant term.

(x + 4)^2 = x^2 + 8x + 16.

That means that the constant term needed to complete the trinomial is 16.

Answer: 16    

Read more on Brainly.com - brainly.com/question/3789847#readmore

Step-by-step explanation:

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Expand if necessary combine like terms (7+x)(7-x)=
mina [271]

Answer:

49 - x^2

Step-by-step explanation:

(7+x)(7-x)

We know this is the difference of squares

(a-b) (a+b) = a^2 - b^2

7^2 - x^2 = 49-x^2

We can also FOIL

first = 7*7 = 49

Outer: = 7x

Inner: = -7x

Last : -x*x = -x^2

Add them together

49 +7x-7x - x^2

Combine like terms

49-x^2

4 0
3 years ago
A doctor is measuring the average height of male students at a large college. The doctor measures the heights, in inches, of a s
RoseWind [281]

Answer:

There is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean is:

CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence interval for the average height of male students at a large college is, (63.5 inches, 74.4 inches).

The 95% confidence interval for the average height of male students (63.5, 74.4) implies that, there is a 0.95 probability that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

Or, there is a 95% confidence that the true mean height of all male student at the large college is between the interval (63.5, 74.4).

4 0
3 years ago
Need help with number 3 inequalities with variables on both sides
Volgvan

Answer:

x ≤ 2

Step-by-step explanation:

We are given the inequality:

\displaystyle{2x-3 \leq \dfrac{x}{2}}

First, get rid of the denominator by multiplying both sides by 2:

\displaystyle{2x\cdot 2-3\cdot 2 \leq \dfrac{x}{2}\cdot 2}\\\\\displaystyle{4x-6 \leq x}

Add both sides by 6 then subtract both sides by x:

\displaystyle{4x-6+6 \leq x+6}\\\\\displaystyle{4x \leq x+6}\\\\\displaystyle{4x-x \leq x+6-x}\\\\\displaystyle{4x-x \leq 6}\\\\\displaystyle{3x \leq 6}

Then divide both sides by 3:

\displaystyle{\dfrac{3x}{3} \leq \dfrac{6}{3}}\\\\\displaystyle{x \leq 2}

Therefore, the answer is x ≤ 2

5 0
2 years ago
Read 2 more answers
HELP ME RN PLEASEEEE<br> [WILL GIVE BRAINLY TO CORRECT AND BEST EXPLAINED ANSWER]
VMariaS [17]

Answer:

\boxed {\boxed {\sf d= \sqrt{34}}}

Step-by-step explanation:

We want to find the distance between two points, so the following formula is used.

d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.

We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:

  • x₁= -2
  • y₁= -1
  • x₂= 3
  • y₂= 2

Substitute the values into the formula.

d= \sqrt {(-2-3)^2+(2--1)^2

Solve the parentheses.

  • -2 -3 = -5
  • 2--1 = 2+ 1 = 3

d= \sqrt{(-5)^2+(3)^2

Solve the exponents.

  • (-5)²= -5*-5= 25
  • (3)²= 3*3=9

d= \sqrt{25+9}

Add.

d= \sqrt{34}

This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.

6 0
2 years ago
Read 2 more answers
It costs $4.25 to buy 3/4 lb of sour belts.
Klio2033 [76]

Answer:

  • None of the above.

Step-by-step explanation:

<u>Given equation:</u>

  • 4.25 * 3.5

<u>The cost of 3.5 lb of sour belts:</u>

  • $14.875.

<u>Simplify:</u>

  • 14 7/8
6 0
2 years ago
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