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ANEK [815]
4 years ago
9

What is the product? (9 t minus 4)(negative 9 t minus 4) negative 81 t squared minus 16 negative 81 t squared + 16 negative 81 t

squared minus 72 t + 16 negative 81 t squared + 72 t + 16
Mathematics
2 answers:
liraira [26]4 years ago
7 0

The product is negative 81 t squared + 16 ⇒ 2nd answer

Step-by-step explanation:

The product of two binomials (ax + b)(cx + d), where a, b, c, and d are constant

  • Multiply (ax) by (cx) ⇒ 1st × 1st
  • Multiply (ax) by (d) and (b) by (cx) ⇒ ext-reams and nears
  • Add the two products ⇒ like terms
  • Multiply (b) by (d) ⇒ 2nd × 2nd

Let us find the product of (9 t - 4) and (-9 t - 4)

Multiply the 1st two terms

∵ (9 t)(-9 t) = -81 t²

Multiply the ext-reams

∵ (9 t)(-4) = -36 t

Multiply the nears

∵ (-4)(-9 t) = 36 t

Add the like terms

∵ -36 t + 36 t = 0

Multiply the 2nd two terms

∵ (-4)(-4) = 16

Write the answer

∴ (9 t - 4)(-9 t - 4) = -81 t² + 0 + 16

∴ (9 t - 4)(-9 t - 4) = -81 t² + 16

The product is  -81 t² + 16

Learn more:

You can learn more about the product of algebraic expressions in brainly.com/question/1617787

#LearnwithBrainly

antoniya [11.8K]4 years ago
3 0

Answer:

b

Step-by-step explanation:

instead of reading all that ^

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Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change. How much did each avocado cost i
Delvig [45]

Answer:

$1.10

Step-by-step explanation:

We have been that Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change.

First of all, we will find amount paid for 5 avocados by subtracting $4.50 from $10.

\text{Amount paid for 5 avocados}=\$10-\$4.50

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Now, we will divide $5.50 by 5 to find cost of each avocado.

\text{Cost of each avocado}=\frac{\$5.50}{5}

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3 0
3 years ago
For a fundraiser, Hailey raises $27, plus 1.50 for each lap she swims. What was the total amount raised by each swimmer after sw
svlad2 [7]

Question is Incomplete; Complete Question is given below;

For a fundraiser, Hailey raises $27, plus 1.50 for each lap she swims. Tariana raises $18, plus $3 for each lap she swims what is the total amount raised by each swimmer after swimming laps. after how many laps would the two swimmers have raised the same amount of money?

Answer:

If they swim 6 laps they would raise same amount of money.

The Total amount of money they raised is $36 after 6 laps.

Step-by-step explanation:

Let number of laps swim by the swimmers be x

Given:

Hailey raises $27, plus 1.50 for each lap she swims.

Hence It means amount raised by Hailey is the sum of $27 and 1.50 multiplied by Number of laps she swim.

Framing in equation form we get;

Amount of Money raised by Hailey = 27+1.5x

Also Given:

Tariana raises $18, plus 3 for each lap she swims.

Hence It means amount raised by Tariana is the sum of $18 and 3 multiplied by Number of laps she swim.

Framing in equation form we get;

Amount of Money raised by Tariana = 18+3x

Hence The expression representing the Total amount raised by Hailey is 27+1.5x and by Tariana is 18+3x,

Now We need to find the Number of laps they swim so as the would raise the same amount of Money;

Hence equation can be framed as;

27+1.5x=18+3x\\

Combining common terms we get;

3x-1.5x=27-18\\\\1.5x= 9\\\\x=\frac{9}{1.5} =6

Hence If they swim 6 laps they would raise same amount of money.

Now we will find the amount they both will raise by substituting the value of x we get;

Amount of Money raised by Hailey = 27+1.5x = 27+1.5\times 6 = 27+9 =\$36

Amount of Money raised by Tariana = 18+3x= 18+3\times 6 = 18+18=\$36

Hence The Total amount of money they raised is $36 after 6 laps.

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tankabanditka [31]

The correct answer is option A which is j'(1,3) , E'( -2,1) and V'( 1,3).

<h3>What is coordinate geometry?</h3>

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that:-

  • The coordinates of the vertices of the figure after the given transformation T <2,4>

So we will transform the points given in the figure.

V(-1,-1) , J(-4,-5) and E(-4,-3).

The transformation will be given as:-

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J(-4,-5) → J'( -4 +2 , -5 + 4 )  → J'( -2,-1 )

E(-4,-3). → E'( -4+2 , -3+4 )   → E' ( -2, 1 )

Therefore  correct answer is option A which is j'(1,3) , E'( -2,1) and V'( 1,3).

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