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ValentinkaMS [17]
3 years ago
8

Write the equation of this line in point-slope form and slope-

Mathematics
1 answer:
DaniilM [7]3 years ago
3 0

Answer:

y = -1x + 2

Step-by-step explanation:

y = -1x + b

5 = -1(-3) + b

5 = 3 + b

2 = b

y = -1x + 2

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A rectangular swimming pool is surrounded by a deck as shown. The area (in square feet) of the pool is represented by x^2-10x+16
maw [93]

Answer:

Step-by-step explanation:

First we need to factorize the given area of the rectangle as shown;

Given

A(x) = x^2-10x+16

Factorize

A(x) = x²-8x-2x+16

A(x) = (x²-8x)-(2x+16)

A(x) = x(x-8)-2(x-8)

A(x) = (x-2)(x-8)

Since area of a rectangle = length ×width

Hence the binomial that represents the width of the pool is w(x) = x-2

b) If the width of the deck is 17feet

Width = x-2

17 = x-2

x = 17+2

x = 19feet

Get the length

Length = x-8

Length = 19-8

Length = 11

Get the perimeter

P = 2(L+W)

P = 2(17+11)

P =2(28)

P = 56feet

Perimeter of the deck is 56feet

8 0
3 years ago
Find the value of x , if log₂ [log₅ (log₃x)] = 0
Lina20 [59]
\log_2 (\log_5( \log_3x)) = 0\\
D:x>0 \wedge \log_3x>0 \wedge \log_5(\log_3x)>0\\
D:x>0\wedge x>1 \wedge\log_3x>1\\
D:x>1 \wedge x>3\\
D:x>3\\
\log_5(\log_3x)=1\\
\log_3x=5\\
x=3^5\\
x=243
3 0
3 years ago
I have been stuck on the problem for so long. please help me:
Xelga [282]

Answer:

D-2

Step-by-step explanation:

You can use elimination to get the value of y. Move numbers to one side and x and ys to the other side. To use elimination, multiply the first equation with 2. You will get 2x+2y=24. add it with the equation below. y will be eliminated and you will get the value of x. X=10. Plug in x and get the y value. Y=2

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3 years ago
2. You are given the hyperbolic relation modeled by xy = -2. Do the following: a) Rewrite the relation such that the dependent v
N76 [4]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The given equation is :

  • xy =  - 2

1. The relationship such that dependent variable (y) is isolated is :

  • y =   \dfrac{ - 2}{x}

2. The table accompanying this equation :

  • x = -4 and y = 0.5

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  • x = 1 and y = -2

  • x = 4 and y = -0.5

3. graph of the given equation is in attachment ~

4 0
2 years ago
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