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2 years ago

What the property of equality with the example that models the property

Mathematics

1 answer:

Ad libitum [116K]2 years ago

6 0

Answer:

1. Multiplication

2. Division

3. Addition

4. Subtraction

You might be interested in

If the sum of the zereos of the quadratic polynomial is 3x^2-(3k-2)x-(k-6) is equal to the product of the zereos, then find k?

lys-0071 [83]

Answer:

Step-by-step explanation:

So I'm going to use vieta's formula.

Let u and v the zeros of the given quadratic in ax^2+bx+c form.

By vieta's formula:

1) u+v=-b/a

2) uv=c/a

We are also given not by the formula but by this problem:

3) u+v=uv

If we plug 1) and 2) into 3) we get:

-b/a=c/a

Multiply both sides by a:

-b=c

Here we have:

a=3

b=-(3k-2)

c=-(k-6)

So we are solving

-b=c for k:

3k-2=-(k-6)

Distribute:

3k-2=-k+6

Add k on both sides:

4k-2=6

Add 2 on both side:

4k=8

Divide both sides by 4:

k=2

Let's check:

$3x^2-(3k-2)x-(k-6) \text{ with }k=2$ :

$3x^2-(3\cdot 2-2)x-(2-6)$

$3x^2-4x+4$

I'm going to solve $3x^2-4x+4=0$ for x using the quadratic formula:

$\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\frac{4\pm \sqrt{(-4)^2-4(3)(4)}}{2(3)}$

$\frac{4\pm \sqrt{16-16(3)}}{6}$

$\frac{4\pm \sqrt{16}\sqrt{1-(3)}}{6}$

$\frac{4\pm 4\sqrt{-2}}{6}$

$\frac{2\pm 2\sqrt{-2}}{3}$

$\frac{2\pm 2i\sqrt{2}}{3}$

Let's see if uv=u+v holds.

$uv=\frac{2+2i\sqrt{2}}{3} \cdot \frac{2-2i\sqrt{2}}{3}$

Keep in mind you are multiplying conjugates:

$uv=\frac{1}{9}(4-4i^2(2))$

$uv=\frac{1}{9}(4+4(2))$

$uv=\frac{12}{9}=\frac{4}{3}$

Let's see what u+v is now:

$u+v=\frac{2+2i\sqrt{2}}{3}+\frac{2-2i\sqrt{2}}{3}$

$u+v=\frac{2}{3}+\frac{2}{3}=\frac{4}{3}$

We have confirmed uv=u+v for k=2.

4 0

2 years ago

How do you do it?I'm lost

Leto [7]

Answer and Step-by-step explanation:

The way you complete this is by taking each points x and y and applying the translation. In this case the translation is x-7 and y+1.

Q's x and y are 1 , 1

R's x and y are 1 , 5

T's x and y are 5 , 1

S's x and y are 5 , 5

Now what you do is use the translation on all of these values.

Q's x and y turns into -6 , 2 (subtracted 7 to the 1 and added 1 to the 1)

R's x and y turns into -6 , 6

T's x and y are -2 , 2

S's x and y are -2 , 6

You can then plot the points on the graph and connect the lines to complete the reflection.

Hope this helps ! !

4 0

3 years ago

Help math is terrible

san4es73 [151]

25 7y8787 is the answer

3 0

3 years ago

Read 2 more answers

Simplify this pleasee

DochEvi [55]

Answer:

48

Step-by-step explanation:

3(4)^2

48 is your answer 

5 0

3 years ago

Please help!!!!! I’ll give you brainliest

Nikolay [14]

Answer:

A=32

B=3

C=7

Step-by-step explanation:

Caitlyn surveyed 100 students to find out their favorite class. There were 29 students who enjoyed biology and 35 students who enjoyed English. There were 12 students who did not enjoy Biology, English, or Math.

29 like Biology so to find B you subtract. 29-6-5=3

35 like English so to find C 35-3-5-20=7

Total of 100 students subtract what you know to find A.

100-15-6-5-3-7-20-12=32

6 0

3 years ago