Pentagon JKLMN is similar to pentagon VWXYZ.What is the measurement of angle X?
L
K150
M
W
V
What is the measurement of angle X?
Enter your answer with number only, no symbols or words.
Y
Z

Answers

Answer 1

Answer: The measurement of angle X in the given question is 150 degrees.

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Find the vertex, focus, directrix, and focal width of the parabola. x = 4y2.

Answers

- Vertex : ( 0, 0 ).
- Focus: ( p/2, 0 );
y² = 1/4 x
y² = 2 p x ⇒ 2 p = 1/4
p = 1/8
p/2 = 1/16
F ( 1/16, 0)
- Directrix:
x = - p/2 x
x = - 1/16 x
- The focal length:
2 p = 2 · 1/8 = 1/4

Answer:

The vertex is (0,0), focus of the parabola is $((1)/(16),0)$ , directrix of the parabola is $y=-(1)/(16)$ , focal width is $(1)/(4)$ .

Step-by-step explanation:

The given equation of parabola is

$x=4y^2$

It can be written as

$y^2=(1)/(4)x$ ....(1)

The general equation of parabola is

$(y-k)^2=4p(x-h)$ ... (2)

Where, (h,k) is vertex, (h+p,k) is focus, y=h-p is directrix and |4p| is focal width.

On comparing (1) and (2), we get

$h=0,k=0$

The vertex is (0,0).

$4p=(1)/(4)$

$p=(1)/(16)$

Focus of the parabola is

$(h+p,k)=(0+(1)/(16),0)=((1)/(16),0)$

Therefore focus of the parabola is $((1)/(16),0)$ .

Directrix of the parabola is

$y=h-p=0-(1)/(16)=-(1)/(16)$

Directrix of the parabola is $y=-(1)/(16)$ .

Focal width is

$|4p|=|4* (1)/(16)|=(1)/(4)$

Focal width is $(1)/(4)$ .

HELP NOW PLEASE HOW DO I FIGURE THIS OUT?

Answers

Hello,

∛72=∛(2^3*3^2)=2*∛3^2=2∛9
Answer C

What’s the correct answer for this?

Answers

Answer:

Step-by-step explanation:

Look at |IH| as a clock arrow, it goes clockwise and the triangle is smaller so you have to dilate it by 2/3 because the G'H'I' is smaller

How do you solve the function y = 2.5^x for y=20

Answers

$y=2.5^x;\ y=20\n\n2.5^x=20\n\nlog_(2.5)2.5^x=log_(2.5)20\n\nx=log_(2.5)20\n\nx=log_(2.5)(2.5\cdot8)\n\nx=log_(2.5)2.5}+log_(2.5)8\n\nx=1+log_(2.5)8$

What is the answer to 3 × 1 × 5/3

Answers

(3)(1)(5)/3 = (3)(5)/3
= 15/3
= 5

Therefore, the answer is five! I hope this helps!

ok the answer to 3*1*5/3 is 5

How to find an equation of line parallel to a line?

Answers

If two lines are parallel, then they have the same slope. Take the slope
of the line that you know, and use it for the new line. If you also need to
find the intercept of the new line, then you need some more information ...
the intercept is not the same as the line that you know.

Final answer:

To find the equation of a line parallel to a given line, identify the slope of the given line and choose any point on that line, then use the point-slope formula to find the equation of the parallel line.

Explanation:

To find the equation of a line parallel to a given line, follow these steps:

Identify the slope of the given line. Let's call it 'm'.
Select any point on the given line. Let's call the coordinates of this point (x₁, y₁).
Use the point-slope formula, y - y₁ = m(x - x₁), where (x, y) represents any point on the parallel line.
Simplify the equation to get the final equation of the line parallel to the given line.

Let me know if you need further assistance!