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Nookie1986 [14]

3 years ago

6

Jessie had a piece of cardboard that is 8.5 inches by 11 inches. She makes a picture frame with the cardboard box by cutting out

a 4 inch by 4 inch square from the center of the cardboard. What is the area of the frame?

2 answers:

Greeley [361]3 years ago

8 0

In my opinion, I think it’s in my opinion, I think it’s c

velikii [3]3 years ago

4 0

I could be very wrong, but I believe the answer is C

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7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4

DerKrebs [107]

9514 1404 393

Answer:

(x, y) = (4, 4)

Step-by-step explanation:

If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...

7a +4b = 5/4

8b -14a = 3/2

where a = 1/(4x+3y) and b = 1/(4x-3y)

Dividing the second equation by 2 and adding the first, we have ...

(7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)

8b = 8/4

b = 1/4

Substituting into the first equation gives ...

7a +4/4 = 5/4

a = 1/28

__

Now, we can get back to solving for x and y.

4x +3y = 1/a = 28

4x -3y = 1/b = 4

8x = 32 . . . . . . . . . add the two equations

x = 4

3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange

y = 4 . . . . divide by 3

The solution to the system of equations is (x, y) = (4, 4).

_____

<em>Additional comment</em>

If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.

7 0

3 years ago

Please guys help me out with this question.

Kazeer [188]

The values that make the denominator zero are not in the domain.

x²- 4x - 12 = 0

(x - 6)(x + 2) = 0

Answer: 6, -2

7 0

3 years ago

) Which expression is equivalent to 150 + 20?<br> 5(3C+4)<br> 15(c +20)<br> 15(C+4)<br> 5(3C + 20)

Vsevolod [243]

5(3C+4) is the correct answer.

7 0

3 years ago

What expression is equivalent to 2(8g)

denis-greek [22]

Hello there! :)

<em><u>Answer:</u></em>

<em><u>=16g</u></em>

<em><u>*The answer must have a positive sign.*</u></em>

Step-by-step explanation:

<h2><u><em>Lesson: It's about Using Properties to Simplify Expression.</em></u></h2>

Distributive property: a(b+c)=ab+ac

First, you had to remove by parenthesis.

$2*8g$

And then, you multiply by the numbers.

$2*8=16$

Answer: → $=16g$

Hope this helps!

Thanks!

-Charlie

Have a great day!

:D

:)

8 0

4 years ago

Need help with this asap please

Rainbow [258]

Since they are similar, that means they are proportionally the same.
So KL is similar to PN
JL is similar to PM

So,
You need to find how much bigger is the second triangle from first.
It is proportionally scaled up.

KL/JL = PN/ PM

You basically put in order of triangles. Left triangle on left side of equal sign and right triangle on right side of equal sign. You put in denominator the similar sides and numerator the similar sides (the side that is similar to the side of the other triangle)

5/6 = PN / 9
Cross-multiply
PN * 6 = 5*9
6PN = 45
PN =45/6

PN =7.5

5 0

2 years ago