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lisov135 [29]
3 years ago
11

PLZ HELPP expand and simplify by collecting like terms -2(4x+2y)(2x-y)

Mathematics
2 answers:
kompoz [17]3 years ago
7 0

Answer:

-16x^2 + 4y^2

Step-by-step explanation:

-2(4x+2y) x (2x-y)

(-8x-4y) x (2x-y)

-16x^2+8xy+8xy+4y^2

-16x^2+4y^2

svet-max [94.6K]3 years ago
6 0

Answer:

-4( 4x^2 -y^2)

Step-by-step explanation:

so I did the step on the paper

first line : is the equation itself

2nd line : I multiple the term in the parentheses together

3rd line: I multiple the - 2 to the term I got

4th line : I simplify it

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Ms. M feeds her fish 1/5 of food each day. There is 25 cups of cat food in the bag. How many days will the bag of cat food last?
Harlamova29_29 [7]

Answer is 5

first you do 1 divided by 5 then you times by 25

4 0
3 years ago
How much of 30% HCI and 45% HCI would be needed to mix and produce 50 liters of 35% HCI
VladimirAG [237]

Answer:

  • 33 1/3 liters of 30%
  • 16 2/3 liters of 45%

Step-by-step explanation:

Let x represent the liters of 45% solution needed. Then the amount of HCl in the mix is ...

  0.45x +0.30(50 -x) = 0.35(50)

  0.15x = 0.05(50) . . . . . simplify, subtract 0.30(50)

  x = (0.05/0.15)(50) = 50/3 = 16 2/3 . . . liters of 45% HCl

33  1/3 liters of 30% and 16 2/3 liters of 45% HCl are needed.

_____

<em>Comment on the solution</em>

You may notice that the general solution to a mixture problem of this sort is that the fraction of the mix that is the highest contributor is ...

  (mix % - low %) / (high % - low %) = (.35 -.30) / (.45 -.30) = .05/.15 = 1/3

5 0
3 years ago
The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9
Georgia [21]

Answer:

9 units.

Step-by-step explanation:

Let us assume that length of smaller side is x.

We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

We know that sides of similar figures are proportional. When the proportion of  similar sides of two similar figures is \frac{m}{n}, then the proportion of their area is \frac{m^2}{n^2}.

We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:

\frac{x^2}{3^2}=\frac{9}{1}

\frac{x^2}{9}=\frac{9}{1}

x^2=9\cdot 9

x^2=81

Take positive square root as length cannot be negative:

\sqrt{x^2}=\sqrt{81}

x=9

Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.

4 0
3 years ago
Read 2 more answers
Mary has 2/3 cup of chocolate chips a cookie recipe calls for 1/2 cup of chocolate chips per batch. How many batches can Mary ma
Vikentia [17]
She can make 1 batch.
7 0
3 years ago
The perimeter of the triangular park shown on the right is 11x - 7. What is the missing length?
AysviL [449]

Answer:

6x-4

Step-by-step explanation:

the perimeter is the distance around the shape, we get this by adding all the sides, call the missing side y and set up an equation for the perimeter

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solve for y

11x-7 = 5x -3 + y

11x-4 = 5x + y

6x-4 = y

4 0
3 years ago
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