Help me pls with this question :)

Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. The per

Tresset [83]

62 is the answer, 2(5(4)-2)+2(3(4)+1)=62

8 0

3 years ago

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Which expression is equivalent to sqrt8x^7y^8? assume x>0

Ilia_Sergeevich [38]

Answer:

$\sqrt{8x^7y^8$ $= 2x^3y^4 * \sqrt{2x}$

Step-by-step explanation:

Given

$\sqrt{8x^7y^8$

Required

Evaluate

$\sqrt{8x^7y^8$

Separate each factor with multiplication sign

$\sqrt{8*x^7*y^8$

Express 8 as 4 * 2 and $x^7$ as $x^6 * x$

$\sqrt{4 * 2 *x^6 * x*y^8$

Split each factor

$\sqrt{4} * \sqrt{2} *\sqrt{x^6} * \sqrt{x}*\sqrt{y^8}$

Evaluate $\sqrt4$

$2 * \sqrt{2} *\sqrt{x^6} * \sqrt{x}*\sqrt{y^8}$

Apply law of indices:

$2 * \sqrt{2} * x^{6*\frac{1}{2}} * \sqrt{x} * y^{8*\frac{1}{2}}$

$2 * \sqrt{2} * x^3 * \sqrt{x} * y^4$

Reorder

$2* x^3 * y^4 * \sqrt{2} * \sqrt{x}$

$2x^3y^4 * \sqrt{2} * \sqrt{x}$

$2x^3y^4 * \sqrt{2*x}$

$2x^3y^4 * \sqrt{2x}$

$2x^3y^4 \sqrt {2x$

Hence:

$\sqrt{8x^7y^8$ $= 2x^3y^4 * \sqrt{2x}$

8 0

3 years ago

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What does as many as mean in math

12345 [234]

Answer:product * . . . x is 3/4 as many as y x = (3/4)y. So, "3/4 as many oranges as apples" means. "number of oranges is 3/4 number of apples"

Step-by-step explanation:

6 0

3 years ago

Taxi company A charges $4 plus $2 per mile. Taxi company B charges $5 plus $3 per mile. Which system best represents this proble

LiRa [457]

Answer:

The second option

Step-by-step explanation:

To solve this, you should convert both rates to equations, with y being the total fare, and x being the number of miles. The rates of both use the format y=mx+b (where m is the amount per mile and b is the flat rate, or original rate).

By subbing in the values for m and b, you get y=2x+4 for A and y=3x+5 for B. This is the second option.

**This question involves writing linear equations, which you may wish to revise. I'm always happy to help!

4 0

3 years ago

A rectangular deck has an area of 320 ft squared. The length of the deck is 4 feet longer than the width. Find the dimensions of

AnnyKZ [126]

So, the area of a rectangle is LxW. For this rectangle, LxW=320. We also know that the length is 4 feet longer than the width, that is L=W+4. With some substitution, we get(W+4)W=320. Simplify to get W^2+4w=320. Now the fun part! When we complete the square, we'll end up with (W+___)^2, right? So, let's take half of 4, which is 2, and square it. That's 4. Add that 4 to what we already have:W^2+4W+4. But remember, what we do to one side of an equation we must do to the other side. So we really have W^2+4W+4=320+4.We simplify and get W^2+4W+4=324. Factor the left side of the equation and get(W+2)^2=324. When we take the square root of both sides of the equation we getW+2=18, so W=16, which means the length (4 ft longer) is 20 ft. Do you have questions about the completing the square part? In a trinomial, the coefficient in the x term is the sum of the two factors and the constant term is the product. So, in the completing the square, you have the sum of a number added to itself or 2 times that factor. That's why we take half of it. Then, we square it to get the constant term. Square completed. But don't forget to keep the balance in the equation by also adding the constant term to the other side.

3 0

4 years ago