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2 years ago

Find the angle in degrees

Mathematics

1 answer:

BlackZzzverrR [31]2 years ago

3 0

Answer:

90 degrees

Step-by-step explanation:

its a 45-45-90 triangle

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Which equation represents a nonlinear function? A:y=x B:y=2x C:y=x^2 D:y=x+2

N76 [4]

Answer: option c.

Step-by-step explanation:

Option a, b and d are linear equations because they are in the form of y = mx + c which is a straight line.

7 0

3 years ago

How do you solve this system of equation? 2x+4y=-4 3x + 5y =-3

Annette [7]

Answer:

x = 4

y = -3

Step-by-step explanation:

We can use substitution, elimination, or graphically.

Step 1: Rearrange first equation

2x + 4y = -4

2x = -4 - 4y

x = -2 - 2y

Step 2: Rewrite systems of equations

x = -2 - 2y

3x + 5y = -3

Step 3: Substitution

3(-2 - 2y) + 5y = -3

-6 - 6y + 5y = -3

-6 - y = -3

-y = 3

y = -3

Step 4: Find x using y

2x + 4(-3) = -4

2x - 12 = -4

2x = 8

x = 4

Graphically:

Use a graphing calc and analyze where the 2 lines intersect.

5 0

3 years ago

Consider f and c below. f(x, y) = x2 i + y2 j c is the arc of the parabola y = 2x2 from (−1, 2) to (1, 2) (a) find a function f

Korvikt [17]

If there is some scalar function $f(x,y)$ such that

$\nabla f(x,y)=\mathbf f(x,y)=x^2\,\mathbf i+y^2\,\mathbf j$

then we want to find $f$ such that

$\dfrac{\partial f}{\partial x}=x^2\implies f(x,y)=\dfrac{x^3}3+g(y)$
$\dfrac{\partial f}{\partial y}=y^2=\dfrac{\mathrm dg}{\mathrm dy}\implies g(y)=\dfrac{y^3}3+C$
$\implies f(x,y)=\dfrac{x^3}3+\dfrac{y^3}3+C$

So the vector field $\mathbf f(x,y)$ is conservative, which means the fundamental theorem applies; the line integral of $\mathbf f$ along any path $\mathcal C$ parameterized by some vector-valued function $\mathbf r(t)$ over $a\le t\le b$ is given by

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=\int_{t=a}^{t=b}\mathbf f(\mathbf r(t))\cdot\dfrac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt=f(\mathbf r(b))-f(\mathbf r(a))$

In this case,

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f(1,2)-f(-1,2)=\dfrac23$

5 0

3 years ago

95% as a fraction in its simplest form

Harlamova29_29 [7]

To convert percentage to fraction..
95% = 95/100

divide by 5..
= 19/20

Thats the lowest fraction you can get.

6 0

3 years ago

3^2x5^2x2x5^35^5 please help

const2013 [10]

Answer:

2×3^2×5^10

Step-by-step explanation:

We presume you want the simplified product ...

3^2×5^2×2×5^3×5^5

The applicable rule of exponents is ...

(a^b)(a^c) = a^(b+c)

The bases are 2, 3, 5. The exponent of 2 is 1; the exponent of 3 is 2; the exponents of 5 are 2, 3, 5, so those get added.

= 2×3^2×5^(2+3+5)

= 2×3^2×5^10

_____

= 175,781,250

3 0

2 years ago