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Olin [163]
2 years ago
14

A rectangular garden has a walkway surrounding it that is 4 feet wide (a uniform width

Mathematics
1 answer:
Oksana_A [137]2 years ago
7 0

Answer: 300 square feet  

Step-by-step explanation:

length of walkway = 20 + 2x

width of walkway = 15 + 2x

A(x) = (20 + 2x)(15 + 2x)

A(x) = 300 + 30x + 40x + 4x2

A(x) = 300 + 70x + 4x2

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Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at
spin [16.1K]

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)

What is u + v in component form?

u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)

⟨-5, -1⟩ is the answer.

3 0
2 years ago
Which expressions are equivalent to √/32?<br> 4√8<br> 08<br> 2√8<br> 4√2<br> 16<br> 16√2
vaieri [72.5K]

Answer: 4√2

square root of a number is the factor that we can multiply by itself to get that number.

The square root symbol is also called as a RADICAL.

Perfect squares are the squares of the integers also called as square numbers.

to find the square root of non-perfect squared numbers we have to check the number with a near-perfect squared numbers

how to find square root of non perfect squared numbers:

If we can't figure out what factor multiplied by itself will result in the given number, we can make a factor tree.

Factor tree of 32 = 2*2*2*2*2

                            = (2*2) * (2*2) *2

                            = (4)2 *2

Therefore √/32 = √/2*2*2*2*2

                          = √/(4)2*2

                          = 4√/2

learn more about square roots here:

brainly.com/question/428672

brainly.com/question/3617398

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8 0
1 year ago
Consider the equation 8x + 5 = 37. Write a real-life scenario that this equation could model.8x+5-5=37-5 8x=32 8x/8=32/8 x=4
laila [671]

Answer: See the full explanation.

Step-by-step explanation:

You can actually do this using various life scenario. Let me help you with this example.

Suppose that one person is called Mike and he needs to buy something, here is your scenario for Mike to get what he want:

Mike wants to buy a pair of shoes that worth 37$ for a soccer game next week. He only has 5$ in his wallet. In order to get the remaining money, he decides to work in a market for a day. If the market pay 8$ per hour, how many hours does Mike need to have enough money to buy the shoes?.

This is the real life scenario. The equation is as above, because you can call "x" the number of hours needed, so as you solve the equation, you'll realize that the number of hours needed is 4:

8x + 5 = 37

8x = 37 - 5

8x = 32

x = 32/8 = 4 hours needed.

3 0
3 years ago
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