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nordsb [41]
3 years ago
5

Which is equivalent to (4xy-3x)^2, and what type of special product is it?

Mathematics
2 answers:
mars1129 [50]3 years ago
8 0

It's not the difference of squares, rather it is the square of a difference. That leaves a perfect square trinomial, which narrows your selection to two choices. An expression with 2 terms is not a trinomial, so that further narrows your selection. The appropriate choice is

... (4xy -3z)² = 16x²y² -24xyz +9z², a perfect square trinomial

_____

The expression you have in your problem statement has no z term, so none of the choices is applicable to that one.

maria [59]3 years ago
5 0

Answer:

The correct option is 4.

Step-by-step explanation:

The given expression is

(4xy-3z)^2

Algebraic formula:

(a-b)^2=a^2-2ab+b^2

It is a perfect square trinomial.

Using algebraic formula, we get

(4xy-3z)^2=(4xy)^2-2(4xy)(3z)+(3z)^2

(4xy-3z)^2=16x^2y^2-24xyz+9z^2

Therefore option 4 is correct.

You might be interested in
-(1+7x)-6(-7-x)=36 what is x equal to
Katyanochek1 [597]

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

-(1 + 7x) - 6(-7 - x) = 36

Step 2: Solve for <em>x</em>

  1. Distribute: -1 - 7x + 42 + 6x = 36
  2. Combine like terms: -x + 41 = 36
  3. Subtract 41 on both sides: -x = -5
  4. Divide both sides: x = 5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-(1 + 7(5)) - 6(-7 - 5) = 36

-(1 + 35) - 6(-12) = 36

-(36) + 72 = 36

-36 + 72 = 36

36 = 36

5 0
3 years ago
Sierra has plotted two vertices of a rectangle at (3,2) and (8,2). What is the length of the sides of the rectangle
Eddi Din [679]

Answer:

5units

Step-by-step explanation:

Given the two vertices of a rectangle at (3,2) and (8,2). We are to calculate the distance between the two points.

Using the formula

D = √(x2-x1)²+(y2-y1)²

D = √(2-2)²+(8-3)²

D = √0+5²

D =  √25

D = 5

Hence the length of the side of the rectangle is 5units

4 0
2 years ago
The ratio of susan's money to isabella's money is 2:11. if susan $12, how much money does isbella have?
valentina_108 [34]
If Susan had 2$ and got to 12$ we need to find what multiplied by 2 = 12. So, 12/2=6
If 6x2=12 then 11x6=66
66$
7 0
3 years ago
Plz i need help walk me through it, thanks​
SVETLANKA909090 [29]

Answer:

p=36^{\circ}

Step-by-step explanation:

We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is 90^{\circ}.

Because all the angles of a triangle sum to 180^{\circ}, we have that p+54+90=180.

We combine like terms on the left side to get p+144=180.

We subtract 144 on both sides to get p=36.

So, \boxed{p=36^{\circ}} and we're done!

6 0
2 years ago
How many quarts are there in 4 gallons and 6 pints?
umka21 [38]

4 Gallon is 20 Quarts

6 pints is 3 Quarts

Total = 20+3

=23 Quarts

Therefore 4 Gallons and 6 pints are 23 Quarts

Must click thanks and mark brainliest

3 0
3 years ago
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