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Marianna [84]
3 years ago
13

Is the decimal for 4/3 a repeating decimal?explain

Mathematics
1 answer:
sdas [7]3 years ago
3 0

Answer:

yes

Step-by-step explanation:

4 divided by 3 is 1.33333 repeating

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Write the equation of a parabola with focus at (1,-4) and a directrix at X=2
konstantin123 [22]

Answer:

The equation of a parabola is

x =  \frac{1}{4(f - h)} (y - k) ^{2}  + h

Step-by-step explanation:

(h,k) is the vertex and (f,k) is the focus.

Thus, f = 1, k = −4.

The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.

Solving the system, we get h = 3/2, k = -4, f = 1.

The standard form is:

x =  -  \frac{y ^{2} }{2}  - 4y -  \frac{13}{2}

The general form is:

2x +  {y}^{2}  + 8y + 13 = 0

The vertex form is:

x =  -  \frac{(y + 4) ^{2} }{2}  +  \frac{3}{2}

The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.

The focal length is the distance between the focus and the vertex: 1/2.

The focal parameter is the distance between the focus and the directrix: 1.

The latus rectum is parallel to the directrix and passes through the focus: x = 1.

The length of the latus rectum is four times the distance between the vertex and the focus: 2.

The eccentricity of a parabola is always 1.

The x-intercepts can be found by setting y = 0 in the equation and solving for x.

x-intercept:

( -  \frac{13}{2}  \: ,0)

The y-intercepts can be found by setting x = 0 in the equation and solving for y.

y-intercepts:

(0, - 4 -  \sqrt{3)}

(0, - 4 +  \sqrt{3)}

3 0
2 years ago
Kelly simplified this power of a product.
Natalija [7]

Answer:

the answer is D

Step-by-step explanation:

i got it right

5 0
3 years ago
Read 2 more answers
The hypotenuse of a right triangle measures 18 cm and one of its legs measures 12 cm. Find the measure of the other leg. If nece
Serggg [28]

Answer:

16 cm

Step-by-step explanation:

A right triangle, with the hypotenuse = 18, one side = 7, and the other side = x.

Since this is a right triangle, use the pythagorean theorem to find the value for x.

let a = 7 for one side, and let c = 18 for the hypotenuse. And, let c = x for the other side.

The pythagorean theorem is: c^2 = a^2 + b^2.

18^2 = 7^2 + x^2324 = 49 +x^2

x^2 = 324 - 49 = 275So, x = sqrt(275) = 16.5 cm

3 0
2 years ago
Read 2 more answers
I NEED HELP WITH thiss
Ainat [17]
X=8 is the Answer.  So the equation would be <span>-8+4(1+5 times 8 )=156 </span>
6 0
3 years ago
Part A: simplify the expression 6(2k+5)-20 using the distributive properties=-------------
ikadub [295]

Answer:

$160

Step-by-step explanation:

Part A-

Step 1: 6(2k+5) - 20

Step 2: 6(2k) + 6(5) - 20

Step 3: 12k + 30 - 20

<h2><u>12k + 10</u></h2><h2><u></u></h2><h3>Part B-</h3><h3>12(12.50) + 10</h3><h3>150 + 10</h3><h2><u>$160</u></h2>
4 0
3 years ago
Read 2 more answers
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