can you please answer this, please show work

The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

They are those expressions which are found by squaring binomial expressions.

Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.

Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

[tex](ax + b)^2 = a^2x^2 + b^2 + 2abx[/tex]

Comparing this expression with the expression we're provided with:

[tex]x^2 + 10x + c[/tex]

we see that:

[tex]a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\[/tex]

Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

Learn more about perfect square trinomials here:

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Answer:

7 pairs of shoes

Step-by-step explanation:

So your equation is P(x) = -6x² + 60x - 126. This is a parabolic function, and it looks like we can factor it.

First, let's factor out -6 from the equation to simplify it. If we divide each part of the equation by -6, that leaves us with -6(x² - 10x + 21).

Now, we can factor the equation further by finding two numbers that add up to -10 and multiply to get 21. We know that both have to be negative numbers since they add up to a negative number and multiply to a positive one. The numbers you get are -3 and -7, making the equation P(x) = -6(x-3)(x-7).

x = 3 or 7. To maximize profit, you should sell 7 pairs of shoes.

Hope this helps! :)

Answer:

30 books

Step-by-step explanation:

Each book is equal to 10 books so you can see Mark has three more books than Eric. Multiply that by 10 and you get 30

Answer:

BDC  and ADB

Step-by-step explanation:

Answer:

130

Step-by-step explanation:

just multiply 65 by 2 and you get 130

Answer:

-3

Step-by-step explanation:

a= -4

So the first and second should be multiply together

first=-4

second=12

12/-4=-3

Answer:

$13.50

Step-by-step explanation:

if the total is $31.50, it is both the blouse and the skirt together, so uf you take away the blouse from the total ($31.50 - $18) then yiu are keft with the price of the skirt

Answer:

17/25

Step-by-step explanation:

P(not red)=Number of Skittles Not Red/Total Number of Skittles

Answer:

4

Step-by-step explanation:

Elissa uses 8.5 inches of thread per bracelet.

She has 40 inches of thread.

To find the maximum number of bracelets she can make, we need to divide.

40 / 8.5 = 4.70588...

We cannot have an unfinished bracelet, so we have to round down.

She can make 4 bracelets with 40 inches of thread.

Answer:

4 bracelets

Step-by-step explanation:

if 8.5 inches makes 1 friendship bracelet

what about 40inches

8.5inches=1 bracelet

40 inches=?

cross mulltiply

40x1

-------

8.5

=4 12/17 bracelets

12/17 of a bracelet is not a complete one

=4 complete friendship bracelets

aaaaaand 4 happy friends

Answer:

4/8 or 1/2

Step-by-step explanation:

Convert all size to x/8

1/4=2/8 and 1/2=4/8

Multiply size of beaker by how many there are filled

1/8 * 2= 2/8

2/8*7= 14/8

4/8*3 =12/8

then add all of them together = 28/8

convert 4 liters to 32/8

Subtract 32/8 - 28/8 = 4/8

The area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.

When the two sides and an angle of a  triangle is known, then the area of the triangle can be found out with the following formula.

[tex]A=ab\sin\left(\dfrac{C}{2}\right)[/tex]

Here, a,b are the adjacent sides and C is the angle made between them.

The image of the triangle DEF is attached below. In this the two adjacent sides are given with the length 5 units ans 8 units long.

The angle made between them has the measure of 31 degrees. Put the values in the above formula as,

[tex]A=(5)(8)\sin\left(\dfrac{31}{2}\right)\\A=10.3\rm\; unit^2[/tex]

Hence, the area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.

Learn more about the triangle here;

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Answer: A, 10.3

Step-by-step explanation: edge 2022

Answer: A

Step-by-step explanation:

You can multiply the coordinates by 4, giving (0,0)

Answer:

16.80 ft long

Step-by-step explanation:

Answer:

13x + 14

Step-by-step explanation:

5x + 6 + 3x = 8x + 6.

8x + 6 + x + 1 + x + 1 + 2= 10x + 10

10x + 10 + (2²)(i think) = 10x + 14

10x + 14 + 3x = 13x + 14

final answer

Answer:

[tex]13x+14[/tex]

Step-by-step explanation:

First take all the sides and add:

[tex]5x+6+3x+3x+2+2+2+x+1+x+1[/tex]

Then Combine Like terms:

[tex]5x+3x+3x+x+x+6+2+2+2+1+1[/tex]

There is your answer:

[tex]13x+14[/tex]

(If I misunderstood the handwriting, please tell me, and I will fix my mistakes)

Answer:

option C

Step-by-step explanation:

y = -x + 7

Hope this helps you

Answer: No

Step-by-step explanation:

This is not an isosceles triangle because there are different angle measurements. The rule of an isosceles triangle is that it must always have two equal sides and angles.

Answer:

No

Limit given:

point:

This value of u = 1  does not fall under the condition, "u is greater than 8".

Number line:

Answer:

No

Step-by-step explanation:

The given inequality is :

Therefore, the only solutions to this inequality must be greater than 8.

On substituting u = 1 in the inequality,

Answer:

20.25

Step-by-step explanation:

The area of a rectangle is calculated by multiplying its width and length:

The area of the smaller rectangle is given as 9 ft^2 so to find its width we divide the given area with length which is 4.5

9/(4.5) = 2

The given rectangles are similar so their side lengths must be proportional

(4.5)/x = 2/9 cross multiply expressions

2x = 40.5 divide both sides by 2

x = 20.25

Answer:

y=3/4x-14

Step-by-step explanation:

Remember that slope-intercept form is y=mx+b

We can see that our givens is that the slope is 3/4 and our point is (8,-8)

Let's plug this in and solve for b (b is the y-intercept)

-8=3/4*8+b

-8=24/4+b

-8=6+b

-14=b

Now we write out the equation which is y=3/4x-14

The hydroxide-ion concentration or pOH of HNO₃ solution comes to be 8.02.

The pOH of a solution is the negative logarithm of the hydroxide-ion concentration.

or pOH = -log[OH⁻]

The hydroxide-ion concentration OH⁻ of HNO₃ solution = 9.5 * 10⁻⁹ million.

So, the pOH of the HNO₃ solution =-log[9.5* 10⁻⁹] = 8.02

Therefore, the hydroxide-ion concentration or pOH of HNO₃ solution comes to be 8.02.

To get more about pH and pOH visit:

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Answer:

8.02

Step-by-step explanation:

trust

Extraneous solutions are the values that we get when solving equations which aren't really solutions to the equation.

Your information is incomplete. Therefore, an overview will be given.  An extraneous solution is the root of a transformed equation which is not a root of the original equation since it was excluded from the domain of the original equation.

The reason extraneous solutions exist is simply that some operations produce extra answers, and these operations are a part of the path to solving the problem.

Learn more about equations on:

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Answer:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

Step-by-step explanation:

:) Hope this helps you with what you're working on!

Answer:

well, here's the formula!

Step-by-step explanation:

area = (1/2) · (p + q) · h

Answer:

4.696% (B)

Step-by-step explanation:

13/17 = 0.76470588

12/15 = 0.8

0.8 - 0.76470588 = 0.03529412

0.03529412 /  0.76470588 = 0.04615285

0.04615285 · 100 = 4.61538494

(I rounded 13/17, the closest answer is 4.696)

percentage increase:

final value - starting value / starting value · 100

Answer:

x = 54

Step-by-step explanation:

x/3 = x-36

x= 3x-36.3

2x= 36.3

x = 18.3

x = 54

Answer:

Step-by-step explanation:

The given age ratio is valid 12 years after the age at which Arnold was x years old. When Arnold was x, Ken was x-34.

  (x +12) = 3((x -34) +12) . . . . . the age relation in 2013

__

Solving for x, we have ...

  x +12 = 3x -102 +36

  78 = 2x . . . . . . . add 66-x

  39 = x

In 2001, Arnold was 39 years old.

_____

Additional comment

In 2001, Arnold was 39 and Ken was 5. Ken is 34 years younger.

In 2013, Arnold was 51 and Ken was 17. Arnold was 3 times Ken's age.

since the shape made by the angles is a quadrilateral, or namely a polygon of 4 sides, hmmm the sum of all interior angles in a polygon is

180(n - 2)

n = number of sides

so that polygon has a total of interior angles of 180(4 - 2) = 360.

Check the picture below.

Answer:

what does the -514 relate with 11/12?

Step-by-step explanation:

11/12 written as a decimal is .91

Answer:

It would be -514.916 with a _ over the six.

Step-by-step explanation:

11/12 is equal to 0.916666, where the six goes on forever. This is called a repeating decimal. In a repeating decimal, you would put this symbol _ over the number that repeats, in this case, 6. Or you would round, but that"s not given in this question.