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Reptile [31]
2 years ago
6

What is the missing constant term in the perfect square that starts with x^2+2x?

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
4 0

Answer:

+ 1

Step-by-step explanation:

Given

x² + 2x

Using the method of completing the square

add ( half the coefficient of the x- term)² to x² + 2x

= x² + 2(1)x + 1²

= x² + 2x + 1

= (x + 1)² ← perfect square

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I don’t understand this question. Can anyone help? I need answers ASAP. Thanks for all the help
zavuch27 [327]

There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)

There's no solution to this particular system because the two lines are parallel.

How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.

The line on the left passes through the points (-1, 0) and (0, -2), so it has slope

(-2 - 0)/(0 - (-1)) = -2/1 = -2

The line on the right passes through (0, 2) and (1, 0), so its slope is

(0 - 2)/(1 - 0) = -2/1 = -2

The slopes are equal, so the lines are parallel.

Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.

7 0
3 years ago
Which is a solution to the system of inequalities? y≤-1/2x+3 y≥x+1
Serggg [28]

Answer:

y≤-1/2(x=4)+3

Step-by-step explanation:

4 0
3 years ago
The rectangle below has an area of x2 + 11x + 28 square meters and a length of 2 + 7 meters.
Troyanec [42]
<h3><u>Question:</u></h3>

The rectangle below has an Área of x^2 + 11x + 28 square meters and a length of x+7 meters. What expression represents the width of the rectangle?

<h3><u>Answer:</u></h3>

The expression representing width of rectangle is (x + 4) meters

<h3><u>Solution:</u></h3>

Given that rectangle has an area x^2 + 11x + 28 square meters and a length of x + 7 meters

To find: width of the rectangle

<em><u>The area of rectangle is given as:</u></em>

\text {Area of rectangle }=\text { length } \times \text { width }

Here area = x^2 + 11x + 28 square meters

length = x + 7 meters

<em><u>Substituting the values in given formula,</u></em>

\begin{array}{l}{\text { width }=\frac{x^{2}+11 x+28}{x+7}} \\\\ {\text { width }=\frac{x^{2}+4 x+7 x+28}{x+7}} \\\\ {\text { width }=\frac{x(x+4)+7(x+4)}{x+7}} \\\\ {\text { width }=\frac{(x+4)(x+7)}{x+7}}\end{array}

Cancelling (x + 7) on numerator and denominator,

\text { width }=(x+4)

Thus expression representing width of rectangle is (x + 4) meters

3 0
3 years ago
(1 point) An innovative rural public health program is reducing infant mortality in a certain West African country. Pretend the
nataly862011 [7]

Answer:

Infant mortality will reduce to 33% in 1.63 years

Step-by-step explanation:

Let the population be X

Population after 1 year

X - 7.3 % of X

X -0.073 X\\0.927X

As we know

P = P_0 * e^{rt}

Substituting the given values we get -

\frac{P_0 - 0.33P_0}{P_0} = e^{-0.33 * t}\\0.67 = e^{-0.33 * t}\\

Taking log on both sides we get -

-0.20273 = -0.33 * t\\t = 1.627

4 0
3 years ago
A) Work out angle x.
astra-53 [7]

Answer:

math is hard for me but yeah a good place to find answers is here or ggl maybe search on gg and the at the end put answer key i do that a lot hope my

Step-by-step explanation:

explanation helps

8 0
3 years ago
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