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3 years ago

What is the distance between 3 1/4 and -1 3/4

Mathematics

1 answer:

dezoksy [38]3 years ago

6 0

Answer:

The answer is 5

Step-by-step explanation:

Lets start of by getting to 0, that distance is 3.25, and the additionally we have to add the 1.75, making us get an answer of 5.

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If 40% of a number is 56 what was the original number

svp [43]

Percent is pars out of 100
40%=40/100=4/10=0.4
'of' means multiply
0.4 times something=56
divide both sides by 0.4
something=140

th enumber is 140

5 0

2 years ago

Show that ( 2xy4 + 1/ (x + y2) ) dx + ( 4x2 y3 + 2y/ (x + y2) ) dy = 0 is exact, and find the solution. Find c if y(1) = 2.

fredd [130]

$\dfrac{\partial\left(2xy^4+\frac1{x+y^2}\right)}{\partial y}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

$\dfrac{\partial\left(4x^2y^3+\frac{2y}{x+y^2}\right)}{\partial x}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

so the ODE is indeed exact and there is a solution of the form $F(x,y)=C$ . We have

$\dfrac{\partial F}{\partial x}=2xy^4+\dfrac1{x+y^2}\implies F(x,y)=x^2y^4+\ln(x+y^2)+f(y)$

$\dfrac{\partial F}{\partial y}=4x^2y^3+\dfrac{2y}{x+y^2}=4x^2y^3+\dfrac{2y}{x+y^2}+f'(y)$

$f'(y)=0\implies f(y)=C$

$\implies F(x,y)=x^2y^3+\ln(x+y^2)=C$

With $y(1)=2$ , we have

$8+\ln9=C$

$\boxed{x^2y^3+\ln(x+y^2)=8+\ln9}$

8 0

2 years ago

II. Using Radians to Measure Arcs and Angles

padilas [110]

Pi radians is 180 degrees.
A
1) 180/3=60
2) 270
3) 45
4) 3240
B
1) 100/180=5/9
3) 30/180=3/18
5) 1/180
C
1) (pi) cm
2) 2pi

4 0

2 years ago

The graph of f(x)=x^2 is sketched in red and the graph of g(x) is sketched in blue. Use the translation rule and f(x)=x^2 to ide

Yuki888 [10]

We can use the vertex form of a quadratic, $y = a(x-h)^{2} + k$ , to find that $g(x) = a x^{2} - 7$ . Plugging $(x,y)$ ordered pairs into g(x), we see that a = 1. For example, for $(3, 2)$ , $2 = a * 3^{2} - 7$ . Solving for a gives 1.

3 0

2 years ago

Which ratio can be used to form a proportion with the given ratio? 3 to 4

quester [9]

As soon as I see the word "Which ...", I know that there's a list of choices that
goes along with this question, but you decided not to share them. So there's
no way for me to help you choose the correct one.

In order to form a proportion with 3/4, you need another fraction (or ratio) that's
equal to 3/4 . Look for a fraction whose numerator is 3/4 of its denominator.

Here are a few examples:

-- 6 / 8
-- 24 / 32
-- 300 / 400
-- 12 million / 16 million
-- 3x / 4x
-- 15abc / 20abc
-- 3(x+y+z) / 4(x+y+z)

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2 years ago