What number should be added to the expression to turn it into a perfect square trinomial x^2+2x

Answers

Answer 1

Answer: kinda like completing the square
if you have
ax^2+bx+c
a=1 for ease

take b and halve it then square that
then make c= that

x^2+2x+c
a=1 good
b=2
2/2=1
1^2=1
x^2+2x+1
(x+1)^2

the number 1 should be added

Answer 2

Answer: Solutions

A Perfect Square Trinomial is the product of two binomials. Both the binomials are same. When you multiply an algebraic expression with two terms to itself, you will get a three-term expression called a perfect square trinomial. A perfect square trinomial is one that factors into two identical factors. The general forms of perfect square trinomial are =

(ax - b)² = (ax)² - 2axb + b² and (ax + b)²= (ax)² + 2axb + b²

Calculations

αx²+βx+c

The variable α = 1 for ease

Take the variable b and half it then square that
to make c = number

x²+2x+c

variable α = 1

variable β = 2

2 ÷ 2=1

1² = 1

x²+2x+1

(x+1)²

In conclusion the number (1) should be added to the expression to turn it into a perfect square trinomial .

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Write a problem that can represent and then reason it for solving

Answers

Answer:

Step-by-step explanation:

sfdgxfhcgjvhkbjlnjbvhcgfxdkfcgvhbjnkbvhcgufxdyfkcugvhbjhgbhkgbkhbhbkbnkj hb

Light travels at 186,000 miles per second. Light takes about 11⁄3 seconds to travel from the earth to the moon. Calculate the distance between the earth and the moon based on the speed of light.

Answers

Its 248,000 miles according to my math

PLEASE HELP Match each function formula with the corresponding transformation of the parent function y = - (x + 2)2. 1. y = - (x + 4)2 Reflected across the x-axis and the y-axis 2. y = - (x + 2)2 - 2 Translated right by 2 units 3. y = (x - 2)2 Translated left by 2 units 4. y = 2 - (x + 2)2 Translated down by 2 units 5. y = -x2 Translated up by 2 units 6. y = (x + 2)2 Reflected across the x-axis

Answers

So we are given the following function: $y=-(x + 2)^(2)$ .

Before we can solve this problem, we need to know the following:

Given g (x) = f (x) + k; The graph of g(x) equals f(x) shifted k units vertically. If k > 0, the base graph shifts k units upward, and if k < 0, the base graph shifts k units downward.

Given g(x) = f (x - k); The graph of g(x) equals f(x) shifted k units horizontally. If k > 0, the base graph shifts k units to the right, and if k < 0, the base graph shifts k units to the left.

The reflection of the point (x,y) across the x-axis is the point (x,-y).

The reflection of the point (x,y) across the y-axis is the point (-x,y).

Know we can solve the problem!

1. $y=-(x + 4)^(2)$ . Translated left by 2 units.

2. $y=-(x + 2)^(2) - 2$ Translated down by 2 units

3. $y=(x - 2)^(2)$ Reflected across the x-axis and the y-axis

4. $y= 2-(x + 2)^(2)$ Translated up by 2 units

5. $y=-(x)^(2)$ Translated right by 2 units

6. $y=(x + 2)^(2)$ y = (x + 2)2 Reflected across the x-axis

Samuel is looking at the floor plan of his house to determine how much carpet he needs to buy for his basement. Based on the floor plan of his basement, how can he decompose the measurements into expressions find the area? A) First, find two areas using (4m + 10m = 14m2) and (8m + 3m = 11m2). Next, add (14m2 + 11m2 = 25m2). B) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, add (40m2 + 24m2 = 64m2). C) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, subtract (40m2 - 24m2 = 16m2). D) First, add all the labeled sides using (4m + 10m + 12m + 3m = 29m2). Next, add the remaining sides (8m + 7m = 15m2).

Answers

Answer:

B) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, add (40m2 + 24m2 = 64m2).

Step-by-step explanation:

Samuel should is looking to find the area of his basement in order to cover it with carpet.

An area is calculated by multiplying two dimensions (so answers A and D are not it).

Best solution is to divide the area into two large rectangles then ADD them together to get the total area.

The only scenario where he could have subtracted something based on his plan is if he would have multiplied the 10m by the 12m then subtracted the area that is not part of his basement (7mx8m). He would have achieved the same result of course, but by going a different way.

If someone borrows $5,000 and puts it in a bank account, how much can the banklend out of that money?