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3 years ago

Convert the equation to the standard form of a parabola and graph the parabola, the

Mathematics

1 answer:

valina [46]3 years ago

8 0

Answer:

Graph x2 = 4y and state the vertex, focus, axis of symmetry, and directrix. ... this "algebraically" by rearranging the given equation into the conics form: ... picking y-values first and then finding the corresponding x-values for x = –y2 – 10y – 25: ... find the exact vertex, etc, I'll need to convert the equation to perfect-square form.

Step-by-step explanation:

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A lumberyard worker is cutting three tree trunks into equal sections. The trunks measure 28 feet, 14 feet, and 42 feet. If the s

pav-90 [236]

They can be 60 feet!!!!!!!!

3 0

3 years ago

HELP QUICK PLEASE <br><br> In parallelogram JKLM, angle J is 35 degrees. Find angle .<br> M

frutty [35]

The angle M of the parallelogram is; ∠ M = 145°

<h3>What are angles in a parallelogram?</h3>

In a parallelogram, there are four angles with angles on the same line summing up to 180°.

Now, we are told that angle J is 35°. But angle M is on the same line as that of angle J and as such;

∠J + ∠ M = 180°

35° + ∠ M = 180°

∠ M = 180° - 35°

∠ M = 145°

Read more about angles in a parallelogram at; brainly.com/question/11627202

4 0

2 years ago

Let f be a function of two variables that has continuous partial derivatives and consider the points

Sergeu [11.5K]

Answer:

The directional derivative of f at A in the direction of $\vec{u}$ AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector $\vec{u}=(a,b)$ is denoted by $D\vec{u}f(x,y)$ ,

$D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b$ .

Now the given points are

$A(8,9),B(10,9),C(8,10) and D(11,13)$ ,

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

$\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)$

AC=(8-8,10-9), the direction is

$\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)$

AC=(11-8,13-9), the direction is

$\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5} \right )$

Step 3:

The given directional derivative of f at A $\vec{u}_{AB}$ is 9,

$D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9$

The given directional derivative of f at A $\vec{u}_{AC}$ is 2,

$D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2$

The given directional derivative of f at A $\vec{u}_{AD}$ is

$D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}$

$D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}$

$D\vec{u}_{AD}f= \frac{27+8}{5} =7$

The directional derivative of f at A in the direction of $\vec{u}_{AD}$ is 7.

3 0

3 years ago

Myra supplies costumes to a number of theater companies. She recently provided 20 different hats, including 4 fedoras. Consideri

mario62 [17]

I believe 3/15 would be fedoras
4:20 = 1:5
1:5 = 3:15

3 0

3 years ago

What is the surface area of the box if it is scaled up by a factor of 10? THE SURFACE AREA IS 432CM. LEGHT 12CM. WIDTH 6CM. HEIG

marissa [1.9K]

The scale factor for area is the square of the scale factor for linear dimensions. If linear dimensions are scaled up by a factor of 10, the area is scaled up by a factor of 10² = 100.

The area of the larger box is 100×432 cm² = 43,200 cm².

6 0

3 years ago