A rectangle has coordinates A(-4,3). B(0,0), C(6,8) and D(2,11)

Answer:

[tex](x+3\mathbf{i})(x-3\mathbf{i})=x^2+9[/tex]

[tex](x-4\mathbf{i})(x+4\mathbf{i})=x^2+16[/tex]

[tex](x+8\mathbf{i})(x-8\mathbf{i})=x^2+64[/tex]

Step-by-step explanation:

Complex Numbers

The complex numbers are known by having an 'imaginary' part along with the real part. They can be expressed like a + bi, where

[tex]\mathbf{i}=\sqrt{-1}[/tex]

Or, equivalently:

[tex]\mathbf{i}^2=-1[/tex]

Let's find the result of the following products. On each one of them, there is a sum of a binomial multiplied by the subtraction of a binomial with the very same terms. It leads to a well-known polynomial identity:

[tex](a+b)(a-b)=a^2-b^2[/tex]

1. [tex](x+3\mathbf{i})(x-3\mathbf{i})[/tex]

Applying the above-mentioned identity:

[tex](x+3\mathbf{i})(x-3\mathbf{i})=(x^2-(3\mathbf{i})^2)[/tex]

[tex]=x^2-9\mathbf{i}^2[/tex]

Since [tex]\mathbf{i}^2=-1[/tex]

[tex](x+3\mathbf{i})(x-3\mathbf{i})=x^2-9(-1)[/tex]

[tex]=x^2+9[/tex]

2. [tex](x-4\mathbf{i})(x+4\mathbf{i})[/tex]

Proceed in the same way as before:

[tex](x-4\mathbf{i})(x+4\mathbf{i})=(x^2-16\mathbf{i}^2)[/tex]

[tex]=(x^2-16(-1))[/tex]

[tex]=x^2+16[/tex]

3. [tex](x+8\mathbf{i})(x-8\mathbf{i})[/tex]

[tex](x+8\mathbf{i})(x-8\mathbf{i})=(x^2-64\mathbf{i}^2)[/tex]

[tex]=(x^2-64(-1))[/tex]

[tex]=x^2+64[/tex]

Answer:

25x37=925

Step-by-step explanation:

Answer:

122

Step-by-step explanation:

thats what o got anyway

144

Hi there !

64% of 225 =

= 64%×225

= 64/100 × 225

= 64×225/100

= 14400/100

= 144

Good luck !

Answer:

5/6

Step-by-step explanation:

I'm not sure if this is correct, but I still hope this helps!

Answer:

rational are repeating decimals. So choose the ones without the line on the top

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

5/3x + 4 = 2/3x

5/3*(-4) + 4 = 2/3*(-4)

8/3 = 8/3

9514 1404 393

Answer:

  m = 3

Step-by-step explanation:

Notice what has been done to the variable. It has been multiplied by 3, then 1 is added to the product.

We solve an equation like this by undoing those operations, in the reverse order. First, we undo the addition of +1 by adding -1 (the opposite of +1) to both sides of the equation.

  3m + 1 - 1 = 10 - 1

  3m = 9 . . . . . . . . . simplify

__

Now, we undo the multiplication by 3 by multiplying by the "multiplicative inverse" or reciprocal, 1/3. This is the same as dividing by 3.

  (1/3)(3m) = (1/3)(9)

As before, we do this to both sides of the equation.

  m = 3 . . . . . . . . . simplify

The solution is m = 3.

_____

The rule for equations is that you must do the same operation to both sides of the equation in order for it to remain valid. (The same is true for inequalities, with a special rule for multiplication or division by a negative number. Doing that reverses the comparison symbol: < ⇔ > or ≤ ⇔ ≥.)

Answer:

It would be $7.50.

Step-by-step explanation: 2 pounds of bananas is $3, so we know that 4 pounds of bananas would be $6. Now, 1 pound of bananas would be $1.50! Because 1 pound is half of 2 pounds. Knowing this, one pound of bananas would be $1.50, beucuase its half.

Answer:

110 x 2100 = $231,000

Step-by-step explanation:

Answer:

First Option (A) -22

Step-by-step explanation:

Answer:

a) 22

Step-by-step explanation:

just took it on edge

second problem is c!

Answer:

x = 3

Step-by-step explanation:

3 x 3 + 2 = 11  Because 3x3 = 9 and 9 + 2 = 11

I hope this helps!

Answer:

x=3

Step-by-step explanation:

3x+2=11

(subtract 2 on both sides)

3x=9

(divide by 3 on both sides)

x=3

Answer:

10- 14 -4

Step-by-step explanation:

so practically what I was saying is 6 +4equals 10 and then 14minus10 equals 4

Answer:

x-6x=14-4

5x=10

X=10/5

X=2

Answer:

y=-2x+5

Step-by-step explanation:

Answer: y= -2x - 5  

Step-by-step explanation:

2x + y = - 5  To convert it into slope-intercept form subtract 2x from both sides

-2x          -2x

y= -2x - 5

Answer:

46p

Step-by-step explanation:

42*1.09=45.78

45.78 rounded up is 46p

Answer:

we I would need to see the triangles, but yes. Both triangles can have that same the same angles or the same side lengths.

Answer:

179

Step-by-step explanation:

40+156=196

375-196= $179.00

if I'm not wrong

Answer: $59 increase

Step-by-step explanation: since we don't know how much she had in her bank account prior to making 4 withdrawals it's hard to find the answer so a like and rating would be appreciated. We know she withdrew $40 dollars 4 times which would mean she withdrew $160 dollars, then she used her card for a $156 dollar purchase, so if we add $160 and $156 dollars we get $316 dollars spent. Then she deposited a check of $375 dollars into the bank account so we have to subtract $316 from $375 dollars to get $59 dollars, now since we subtracted and we are left with an extra amount rather than the money wasted we started with it means it's an increase as we are left with $59 and not with a price lower than $316.

Answer:

yes and no,depends.

parrallel cant make any angles exept 180-straight line angle.

Answer: More

Step-by-step explanation: 436x252 = 109872.

Answer:

more than 1000,000

Step-by-step example

well 436 times 252 is 109872 and 109872 minus 1000,000 is 890128 miles therefor a pilot flies more than 1000,000 miles from Boston to Philadelphia

Answer:

25/7, 1.87, 3.25, and 22/7

Step-by-step explanation:

16 < 15x - 12

__________

+12. +12

__________

28 < 15x

__________

÷15 ÷15

__________

28/15 < x

__________

x > 28/15

__________

this is true for any number greater than 1 and 13/15 = 1.8666......

7 - 14m = 2m - 5

  +14m   +14m        (add 14 on both sides)

_____________

7 = 16m - 5

+5         + 5            (add 5 on both sides)

_____________

12 =  16m

__    ___             (divide 16 on both sides)

16      16

m = 0.75

Answer:

m = 3/4

Step-by-step explanation:

7 - 14m = 2m - 5 (given)

7 + 5 - 14m = 2m - 5 + 5 (addition poe)

*add 5 to both sides to cancel -5 out*

12 - 14m = 2m

12 - 14m + 14m = 2m + 14m (addition poe)

*add 14m to both sides to cancel -14m* out*

12 = 16m

12/16 = 16m/16 (division poe)

*divide by 16 on both sides to cancel out the coefficient*

12/16 = m

m = 12/16 (symmetric property)

*mirror to the other side*

m = 12÷4/16÷4 (division poe)

*divide the numerator and denominator by its greatest common factor*

m = 3/4

Answer:

the slope of the line is 0

the y-int is -5

there is no x int since the is no slope

sorry about the last one, i forgot what the zero is

Answer:

Your friend beat you by 2126 points.

Explanation:

5500 - 3374 = 2126

Answer:

3

Step-by-step explanation:

27=3^3

=3*3*3

27=27

i think it is clear &i hope it helps you