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3 years ago

10

Dylan has $14.00 to spend at the book fair. He decides to buy two paperbacks for $4.50 each. Then, he sees some sticker books. A

t most, how much can he spend on sticker books?

1 answer:

KonstantinChe [14]3 years ago

7 0

Answer: 5 dollars

Step-by-step explanation:

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Help please Draw an obtuse angle (labeled BIG) Place a point P inside the angle. Now construct perpendiculars form the point to

Mice21 [21]

Answer:

The side closest to P is the side that is on the same side of the angle bisector as P.

Step-by-step explanation:

The angle bisector is the line containing all the points equidistant from the sides of the angle. Points on one side of the angle bisector are closer to the angle side that is on that side of the angle bisector.

___

The attached diagram shows the angle bisector as a dashed line. A couple of different locations for P are shown (P1 and P2). Apparently, we're concerned here with the distance from P along the perpendicular to each side of the angle. For P2 (on the left side of the angle bisector), it may be clear that the left perpendicular is shorter than the right one. Likewise, for P1, the right perpendicular will be shorter.

6 0

3 years ago

Question 1,2, and 3 how do i factor those? Can you show the work and explain how?

DiKsa [7]

1: $3n^{2}+9n+6$

notice that each part is divisible by 3

$3n^{2}$ ÷ 3 = $n^{2}$

9n ÷ 3 = 3n

6 ÷ 3 = 2

so it becomes $3(n^{2} +3n+2)$

3n can be rewritten as 2n+n

-you want to rewrite it into two numbers that multiply to the number that's alone (in this case 2)

which would get you

$3(n^{2} +2n+n+2)$

Now that it's rewritten, you can factor out n + 2 from the equation.

<u><em>the answer is </em></u>

3(n+2)(n+1)

And you can check that by multiplying (n+2)(n+1) which is $n^{2} +2n+n+2$ and then each of those by 3, which is $3n^{2} +6n+3n+6$ or $3n^{2}+9n+6$ , our origional equation

2: $28+x^{2} -11x$

So I rewrote this as $x^{2} -11x+28$ (it's the same thing, just reordered using the commutative property)

now -11x can be rewritten as -4x-7x

(remember, the two numbers should multiply to equal 28, which is our constant.)

$x^{2} -4x-7x+28$

now we can factor out x from the first expression and -7 from the second

$x(x-4)-7(x-4)$

and lastly you factor out x-4,

<u><em>which would give you</em></u>

(x-4)(x-7)

Make sure to check your work and make sure it multiplies to $x^{2} -11x+28$

3: $9x^{2} -12x+4$

The first thing I notice when looking at this problem is that both 9 and 4 are perfect squares. Not only that, but they are the squares of 2 and 3, which are products of -12

So if you rewrite 9 as $3^{2}$ and 4 as $2^{2}$ , the equation becomes

$3^{2} x^{2} -12x+2^{2}$

now that $3^{2} x^{2}$ is ugly so it can be turned into $(3x)^{2}$

and -12x can be rewritten as $-2*3x*2$

so our equation now looks like $(3x)^2-2*3x*2+2^{2}$

There's a rule that says $a^{2} -2ab+b^{2} = (a-b)^{2}$

In our case, a=3x and b=2

<u><em>so the final answer is</em></u>

$(3x-2)^2$

5 0

2 years ago

Please help and show work!!

Paladinen [302]

B. Because 20 is greter than 18.

6 0

3 years ago

Read 2 more answers

=) The perimeter of a rectangular field is 336 m.

goldenfox [79]

Answer:

Length of the field: 94 m

Width of the painting: 61 cm

Step-by-step explanation:

Use the perimeter formula, P = 2l + 2w, to find the length:

Plug in the perimeter and width into the equation:

P = 2l + 2w

336 = 2l + 2(74)

336 = 2l + 148

188 = 2l

94 = l

So, the length of the field is 94 m.

To find the width of the painting, use the area formula, A = lw

Plug in the area and length into the equation:

A = lw

5795 = 95w

61 = w

So, the width of the painting is 61 cm.

Length of the field: 94 m

Width of the painting: 61 cm

4 0

2 years ago

So sad but so true do you think so ???

Inessa05 [86]

Answer:

AWWWWW :( SOOOOO SAD!!!

Step-by-step explanation:

BUT TRU UNFORINATLEY

6 0

3 years ago

Read 2 more answers