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Juli2301 [7.4K]

3 years ago

10

Which is the equation of a line parallel to the line with the equation y= 1/4x +2

1 answer:

natta225 [31]3 years ago

3 0

Answer:

Any line with slope 1/4 like y=1/4x -5.

Step-by-step explanation:

Parallel lines never cross and therefore have the same exact slope. Since slope intercept form is y=mx+b and m is slope, then y=1/4x+2 has a slope of 1/4. Any line with a slope of 1/4 will be parallel. Example: y=1/4x - 5

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True or False: Using the formulas A = (bh)/2 and A = 1/2(bh) will get you two completely DIFFERENT answers.

lozanna [386]

Answer:

false they are the same formulas

8 0

3 years ago

Read 2 more answers

What is the Y intercept of the line graphed on the grid

Alenkasestr [34]

Answer:

5.5

Step-by-step explanation:

The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.

Recall the slope-intercept equation, $y = mx + b$ , where m = slope of the line, b = y-intercept.

To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{6 -(-2)} = \frac{-6}{8} = -\frac{3}{4}$ .

Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):

$y = mx + b$

$1 = -\frac{3}{4}(6) + b$

$1 = -\frac{18}{4} + b$

$1 = -4.5 + b + 4.5$

$1 + 4.5 = -4.5 + b + 4.5$

$5.5 = b$

Therefore, b = y-intercept = 5.5.

To generate the equation of the line, plug in the values of m and b, we would have:

y = ¾x + 5.5

The y-intercept of the line of the graph is 5.5.

5 0

3 years ago

A swimming pool has a diameter of 32 feet.

Setler79 [48]

Area = 256*3.14=804feet^2

4 0

3 years ago

How do I simplify this?

WINSTONCH [101]

Answer:

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6 0

2 years ago

A bacterial culture starts with 400 bacteria and grows at a rate proportional to its size. After 2 hours there will be 800 bacte

kotykmax [81]

Answer:

P(t) = 400×2^(t/2)
6400
5.0

Step-by-step explanation:

The wording "a rate proportional to its size" is an indication that growth (or decay) is exponential.

1) For many problems involving exponential growth, I like to use the numbers given in the problem statement as follows.

population = (initial population) × (growth factor)^(t/(growth period))

where the "growth period" is the period of time in which the population is multiplied by the "growth factor".

Here, we're given ...

(initial population) = 400

(growth factor) = 800/400 = 2

(growth period) = 2 . . . . hours

So, our population function can be written as ...

P(t) = 400×2^(t/2)

__

2) Putting t=8 into the formula, we get ...

P(8) = 400×2^(8/2) = 400×16 = 6400

After 8 hours, the population will be 6400.

__

3) Fill in the given number and solve for t.

2270 = 400×2^(t/2)

2270/400 = 2^(t/2)

Taking logs, we have ...

log(227/40) = (t/2)log(2)

t = 2×log(227/40)/log(2) ≈ 5.009

After 5.0 hours, the population will reach 2270.

7 0

4 years ago