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Sladkaya [172]
3 years ago
15

Identify the steeper line x+10 y=1 or 3 x+20 y=1

Mathematics
1 answer:
Naddik [55]3 years ago
4 0
They would be the same if the slope is 1
You might be interested in
(1 point) solve the separable differential equation y′(x)=2y(x)+18−−−−−−−−−√, y′(x)=2y(x)+18, and find the particular solution s
luda_lava [24]
We write the equation in terms of dy/dx,
<span>y'(x)=sqrt (2y(x)+18)</span>
dy/dx = sqrt(2y + 18)
dy/dx = sqrt(2) ( sqrt(y + 9)) 

Separating the variables in the equation, we will have:
<span>1/sqrt(y + 9) dy= sqrt(2) dx </span>

Integrating both sides, we will obtain
<span>2sqrt(y+9) = x(sqrt(2)) + c </span>
<span>where c is a constant and can be determined by using the boundary condition given </span>
<span>y(5)=9 : x = 5, y = 9
</span><span>sqrt(9+9) = 5/sqrt(2) + C </span>

<span>C = sqrt(18) - 5/sqrt(2) = sqrt(2) / 2</span>

Substituting to the original equation,
sqrt(y+9) = x/sqrt(2) + sqrt(2) / 2

<span>sqrt(y+9) = (2x + 2) / 2sqrt(2) 
</span>
Squaring both sides, we will obtain,
<span>y + 9 = ((2x+2)^2) / 8</span>

y = ((2x+2)^2) / 8 - 9
7 0
3 years ago
-7d&gt;105 what is the solution?
Jet001 [13]

Answer:

d <-15

In interval notation

(-∞,-15)

Step-by-step explanation:

-7d>105

Divide each side by -7. remembering to flip the inequality

-7d/-7 < 105/-7

d <-15

3 0
3 years ago
Read 2 more answers
Find the value of x in 2x+20=3x-8
Savatey [412]

Answer:

X=28

Step-by-step explanation:

3x-8=2x+20. So x=28

8 0
2 years ago
Read 2 more answers
sarah is taking out 14000 four year new car loan with an apr of 6.75% what is the monthly payment for this loan
jeka57 [31]

Answer:

Monthly payment = $18325.6

Step-by-step explanation:

From the question,

P = 14000

t = 4 years

R = 6.75%

To calculate the monthly payment for this loan, let's use the below formula

Amount = P( 1 + 6.75%/12)^4×12

Amount = 14000(1.005625)^48

Amount = 18325.633 dollars

Monthly payment = $18325.6

6 0
3 years ago
A 14 inch pizza (diameter is 14) was cut in to 8 pieces. What is the angle measure of each slice? *
Luda [366]

Answer:

The angle for each slice is 45 degrees.

Step-by-step explanation:

In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:

pizza area = pi*r²

r = d / 2 = 14 /2 = 7 inches

pizza area = pi*(7)² = 153.86 square inches

Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:

slice area = pizza area  / 8 = 153.86 / 8 =19.2325 square inches

Each slice is a circle sector, therefore it's area is given by:

slice area = (angle*pi*r²)/360

Therefore we can solve for angle:

19.2325 = (angle*pi*7²)/360

angle*pi*49 = 6923.7

angle = 6923.7 / pi*49 = 45 degrees

The angle for each slice is 45 degrees.

4 0
3 years ago
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