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3 years ago

13

34/3 as a mixed number

2 answers:

In-s [12.5K]3 years ago

7 0

3 goes into 34 11 times...

11 × 3 = 33

we have one left over so

33 1/3

aniked [119]3 years ago

3 0

11 and 1/3. Thank you and hope this helps.

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I need help with substitution and elimination.

Brrunno [24]

To sum it up? or what?

6 0

3 years ago

Consider the problem of finding the line of symmetry and vertex of the quadratic equation f(x) =x^2-8x+15 What is the error in t

Elenna [48]

$\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\
\begin{array}{llccll} f(x) = &{{ 1}}x^2&{{ -8}}x&{{ +15}}\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
\\\\\\
\textit{so the line of symmetry will be at }x=-\cfrac{{{ b}}}{2{{ a}}}$

3 0

3 years ago

Read 2 more answers

Let II be the tangent plane to the graph of f(x, y) = 8 – 2x^2 – 3y^2 at the point (1, 2,-6). Let S, x² + y^2 + z = 4 be another

stealth61 [152]

Let $F(x,y,z)=f(x,y)-z$ . The tangent plane to $f(x,y)$ at (1, 2, -6) has equation

$\nabla F(1,2,-6)\cdot(x-1,y-2,z+6)=0$

We have

$\nabla F(x,y,z)=(-4x,-6y,-1)\implies\nabla F(1,2,-6)=(-4,-12,-1)$

Then the tangent plane has equation

$(-4,-12,-1)\cdot(x-1,y-2,z+6)=0\implies -4(x-1)-12(y-2)-(z+6)=0\implies 4x+12y+z=22$

Let $g(x,y)=4-x^2-y^2$ , and $G(x,y,z)=g(x,y)-z$ . The tangent plane to $S$ at a point $(a,b,c)$ is

$\nabla G(a,b,c)\cdot(x-a,y-b,z-c)=0$

We have

$\nabla G(x,y,z)=(-2x,-2y,-1)\implies \nabla G(a,b,c)=(-2a,-2b,-1)$

so that this plane has equation

$(-2a,-2b,-1)\cdot(x-a,y-b,z-c)=0\implies2ax+2by+z=2a^2+2b^2+c$

In order for this plane to be parallel to the previous plane, we need to have

$\begin{cases}2a=4\\2b=12\end{cases}\implies a=2,b=6\implies g(a,b)=c=-36$

so the point we're looking for is (2, 6, -36).

6 0

3 years ago

How to evaluate the expression 13 • 4

soldi70 [24.7K]

Answer:

52

Step-by-step explanation:

Evaluting an expression basically means to multiply the numbers given.

In this certain question, we are just multiplying 13 by 4 which would give us the result of 52.

5 0

3 years ago

What is 1000×2000×3000×4000×5000

Sophie [7]

Answer:

120000000000000000

Step-by-step explanation:

1.2*10^17

6 0

1 year ago

Read 2 more answers