What number should be added to both sides of the equation to complete the square? x2 + 3x = 6

Answers

Answer 1
Answer:

Answer:

2.25

Step-by-step explanation:

x^2 + 3x =6

Take the coefficient of the x term

3

Divide by 2

3/2 = 1.5

Square it

1.5^2 =2.25

Add this to both sides of the equation

Answer 2
Answer:

Answer:

3/2^2

Step-by-step explanation:


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Please help me idk this

Answers

Answer:

25

Step-by-step explanation:

since the angle in question is across from angle 70, they are congruent. You set up the equation

70=20+2p

50=2p

25=p

Is 0.23 a rational number ?

Answers

The given number 0.23 which is the form of decimal is a rational number. The statement is true.

The number in the form of  (p)/(q), where p is numerator and q is denominator and the denominator is not equals to zero, is called as rational number.

The given number 0.23 is a rational number which can be written as  (23)/(100)  in the fraction form, where 23 is the numerator and 100 is the denominator, which is not equal to zero. So, the number can be considered as a rational number.

Thus,  0.23  is a rational number.

Learn more about rational number here:

brainly.com/question/24398433

#SPJ6

Yes,\boxed{0.23} is a rational number.

Further explanation:

Real numbers includes all the rational numbers (integers and fraction) and all the irrational numbers.

Rational number is any number which can be expressed in the form of (p)/(q) where p and q are integers and q is non-zero and (p)/(q) should be in the simplest form.

And those real numbers which are not expressed in the form of rational number are called irrational numbers.

For example:\pi,√(2),√(5).

Here, the number is 0.23 and which is in the form of decimal.

Express the number 0.23  in the form of fraction as follows:

0.23=(23)/(100)  

This implies that (23)/(100) is the fraction form of 0.23.  

Therefore, the fraction (23)/(100) is in the form of (p)/(q) where, p is 23 and q is 100.

Also, here q which is 100 is non-zero.

Thus, 0.23 can be written in the form of rational number.

Hence, 0.23 is a rational number.

Learn more

1. Problem on the whole numbers are positive integers brainly.com/question/1852063.

2. Problem on the adding and simplifying the numbers brainly.com/question/894273

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Rational number

Keywords: Rational numbers, irrational numbers, real numbers, whole numbers, natural numbers, fraction, integers, denominator, numerator, decimal expansion, co-prime integers, multiplicative inverse, additive inverse, division, multiplication, addition, subtraction.

Rachel can type 450 words in 6 minutes

How many words can Rachel type in 1 minuet

Answers

450/6 = X/1

75 = X

Rachel can type 75 words in a minute!

Which answer shows this equation in standard form?8 - 4(x + y) = -6x + 6

A. -10x + 4y = -2

B. 2x + 4y = -2

C. 2x + 4y = 2

D. 2x - 4y = -2

Answers

The Standard Form equation of a line has the following formula: 
ax+by=c ; a
≠0 ; b≠0 ;

Then, 8 - 4x - 4y = -6x + 6 ;
-4x + 6x - 4y = 6 - 8 ;
2x - 4y = - 2 ;
The answer is D. !


~~~15 POINTS~~~
Please help me with these two questions.

Answers

This is what I think:
The first one, you take (x,y) both times 3
A(1,1) to A(3,3)
B(-1,1) to B(-3,3)
C(1,-1) to C(3,-3)
D(-1,-1) to D(-3,-3)

The second one, you take (x,y) both times 2
A(4,1) to A(8,2)
B(4,3) to B(8,6)
C(1,2) to C(2,4)

That is how I think you do it. I hope that I helped you.
17)
Find the length of the side of the smaller square. So subtract the x-values from each other.
1-(-1)=2
The length of the square is 2.

Now find the length of the bigger square.
3-(-3)=6     (You can also just count the units between the two points.)

Now divide the length of the bigger triangle by the length of the smaller triangle to find the scale factor used to dilate the object.

(6)/(2)={\boxed{3}

The scale factor is 3.

18)
Find the base of the larger triangle.
The y-value for point B is 6 and the y-value for point A is 2. Just subtract to find the length of BA.
6-2=4

Now find the base of the smaller triangle.
The y-value for point B is 3 and the y-value for point A is 1. Just subtract to find the length of B'A'.
3-1=2

Divide the base of the smaller triangle by that of the larger triangle.

(2)/(4)={\boxed{(1)/(2)}

The scale factor is 1/2.
_____________________________________________________

Now you might be wondering why I divided the smaller triangle by the larger one but I didn't follow the same procedure for the squares. If you look closely, the smaller triangle is the new figure after the scale factor dilation while the larger square is the new figure after the scale factor dilation. Just look at the coordinates. The coordinates for a changed figure always has an apostrophe at the end of it. The bigger square in question 17 has the apostrophes so I knew that the larger square was the new figure after the dilation. And the smaller triangle in question 18 has the apostrophes so I knew that the smaller triangle was the new figure after the dilation.

Tessa threw 36 free throws at basketball practice. She sank 27 of them. What fraction of he free throws did Tessa sink?

Answers

She sank 27/36 which reduces to 3/4
27/36 -> (divide by 3) 9/12 -> (divide by 3) 3/4 so it's 3/4