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Agata [3.3K]
3 years ago
14

Someone help please ?

Mathematics
1 answer:
Rudik [331]3 years ago
8 0

Answer:

8x^3y

Step-by-step explanation:

To evaluate or simplify expressions with exponents, we use exponent rules.  

1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.

2. When we multiply terms with the same bases, we add exponents.

3. When we divide terms with the same bases, we subtract exponents.

4. When we have a base to the exponent of 0, it is 1.

5. A negative exponent creates a fraction.

6. When we raise an exponent to an exponent, we multiply exponents.

7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.

We will use these rules to simplify.

\frac{(2yx^2)^4}{x^4y^42xy^{-1}}=\frac{2^4y^4x^{2*4}}{2x^{4+1}y^{4+-1}}= \frac{2^3y^4x^8}{x^5y^3}=8x^3y

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Use Heron's formula to find the area of the triangle. Round to the nearest square foot.
Sphinxa [80]

Answer:

A ≈ 2 ft²

Step-by-step explanation:

The area (A) of a triangle using Heron's formula is

A = \sqrt{s(s-a)(s-b)(s-c)}

where s is the semiperimeter and a, b , c the sides of the triangle.

s = \frac{a+b+c}{2} = \frac{4+4+1}{2} = \frac{9}{2} = 4.5

Then

A = \sqrt{4.5(4.5-4)(4.5-4)(4.5-1)}

   = \sqrt{4.5(0.5)(0.5)(3.5)}

   = \sqrt{3.9375}

   ≈ 1.9843...

   = 2 ft² ( to the nearest square foot )

8 0
2 years ago
The net of a square pyramid is shown in the diagram.
LenaWriter [7]

Answer:

the general formula for the total surface area of a regular pyramid isbT. S. A. =12pl+B where p represents the perimeter of the base

3 0
3 years ago
Read 2 more answers
At a large nursery, a border for a rectangular garden is being built. Designers want the border’s length to be 5 feet greater th
Salsk061 [2.6K]

Let

x--------> the border’s length

y--------> the border’s width

P--------> perimeter of the border


we know that

x=5+y------> equation 1

P=2*[x+y]-----> P=2x+2y

P <=180 ft

(2x+2y) <= 180-------> equation 2


substitute the equation 1 in equation 2

2*[5+y]+2y <= 180

10+2y+2y <= 180

4y <= 180-10

4y <=170

y <=42.5 ft

so

the maximum value of the width is 42.5 ft

for y=42.5 ft

x=42.5+5------> x=47.5 ft


the answer is

the width of the border is less than or equal to 42.5 ft


6 0
3 years ago
AB:BC is 3:4. Solve for x.
Sphinxa [80]
I got B but I'll show you how I got that answer.

Let's look at AB and BC. AB = 3 and BC = 4.
3/4 = 0.75

On the triangle, AB = 90. And BC = 10x - 20. We need to solve for x and prove that AB/BC = 0.75.

Let's start with Choice A.

10(11) - 20 = 90.

AB = 90
BC = 90.

90/90 = 1. It doesn't equal 0.75. Meaning this answer is wrong.

Now let's look at Choice B.

10(14) - 20 = 120.

AB = 90
BC = 120

90/120 = 0.75

So, 3:4 = 90:120 making Choice B the correct Answer. Let me know if this is correct
6 0
3 years ago
Graph a system of equations to approximate the value of x, the rate of depreciation. Give your answer as a percent. about 4% abo
muminat

Answer:about 13%

Step-by-step explanation:

9 0
3 years ago
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