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ANEK [815]
4 years ago
10

Write an equation of the line that passes through the points (2, -1) and (2, 5). Show all work

Mathematics
1 answer:
Westkost [7]4 years ago
7 0

Answer:

x = 2

Step-by-step explanation:

The 2 coordinate points have the same x- coordinate of 2

This indicates that the line passing through them is vertical with equation

x = c

Where c is the value of the x- coordinates the line passes through, thus

x = 2 ← equation of line

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1) A rectangular carpet has a perimeter of 288 inches. The length of the carpet is 96 inches more than the
Aleks04 [339]

Answer:

The width is 24 inches and the length is 120 inches.

Step-by-step explanation:

Let x represent the width of the carpet

The length can be represented by x + 96

Create an equation:

x + x + x + 96 + x + 96 = 288

Add like terms and solve for x:

4x + 192 = 288

4x = 96

x = 24

So, the width is 24 inches. Plug this into x + 96 to find the length:

x + 96

24 + 96

= 120

So, the width is 24 inches and the length is 120 inches.

6 0
3 years ago
the volumes of two spheres are 729 in3 and 27 in3. what is the ratio of their radii, rounded to the nearest whole number?
MaRussiya [10]
The volumes of spheres are proportional to R³. So their 'R's
are proportional to ∛their volumes.

(729/ 27) = 27

∛27 = <u>exactly 3</u> .  No rounding required.
5 0
3 years ago
The daily profit in dollars made by an automobile
Maslowich

Answer:

The maximum possible daily profit is $11,500.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, f(x_{v})

In which

x_{v} = -\frac{b}{2a}

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is f(x_{v})

In this question:

The maximum daily profit happens when x_{v} cars are sold. This profit is P(x_{v})

P(x) = -35x^{2} + 2100x - 20000

So a = -35, b = 2100

x_{v} = -\frac{2100}{2*(-35)} = 30

The maximum possible daily profit is:

P(30) = -35*30^2 + 2100*30 - 20000 = 11500

The maximum possible daily profit is $11,500.

8 0
3 years ago
M−4+m−5 how do i solve this?
Ivanshal [37]

Answer:

2m-9

Step-by-step explanation:

m-4+m-5

=m+m-4-5

=2m-9

4 0
3 years ago
Read 2 more answers
Can anyone help out?
vampirchik [111]
Exponential decay is the answer
5 0
3 years ago
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