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Deffense [45]
3 years ago
11

Ariel completes the square for the equation x2 - 16x + 17 = 0. Which of the following equations reveals the vertex of the parabo

la?
A.y = (x - 4)^2 - 47
B.y = (x - 9)^2 - 47
C.y = (x - 6)^2 - 45
D.y = (x - 8)^2 - 47
Mathematics
2 answers:
stealth61 [152]3 years ago
8 0
X² - 16x + 17 = 0
x² - 16x + 8² - 8² + 17 = 0
(x - 8)² - 64 + 17 = 0
(x - 8)² - 47 = 0 

-----------------------------------------------------------------------------------------
Answer: y = (x - 8)² - 47 (Answer D)
-----------------------------------------------------------------------------------------

julsineya [31]3 years ago
8 0

Answer:

Option D is correct

y = (x-8)^-47

Step-by-step explanation:

A quadratic equation is in the form of y=ax^2+bx+c,

then the vertex form of the quadratic equation using the completing square method is given as:

y =(x-h)^2+k where, vertex = (h, k)

As per the statement:

Ariel completes the square for the equation: x^2-16x+17 = 0

Using completing square method:

1.

subtract 17 from both sides we have;

x^2-16x = -17

2.

Complete the square on the left side of the equation and balance this by adding 8^2 = 64 to the right side of the equation.

then;

x^2-16x+8^2= -17+64

Using identity rules on left side:

(a-b)^2 = a^2-2ab+b^2

then;

(x-8)^2 = 47

we can write this as:

y = (x-8)^-47

Therefore, the equations reveals the vertex of the parabola is, y = (x-8)^-47

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Step-by-step explanation:

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A.  No, because two points with the same x-value have different y-values.

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Answer:

A/B O.5 (you put 0.5 as A and B) but 0.5 is the answer.

Step-by-step explanation:

In expanded form of decimal fractions we will learn how to read and write the decimal numbers. ... (i) 100 + 0.5 + 0.06 + 0.008 (ii) 80 + 1 + 0.02 + 0.005.

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2 years ago
Write the slope-intercept form of the equation of the line described. 8.) through: ( -4 , 5 ) , perpendicular to Y= 3/2x - 2
kozerog [31]

Answer

The equation of the required line in slope-intercept form is

y = (-2x/3) + (7/3)

Comparing this with y = mx + c,

Slope = m = (-2/3)

Intercept = c = (7/3)

Explanation

The slope and y-intercept form of the equation of a straight line is given as

y = mx + c

where

y = y-coordinate of a point on the line.

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

c = y-intercept of the line.

So, to solve this, we have to solve for the slope and then write the eqution in the slope-point form which we can then simplify to the slope-intercept form

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

The point is given as (x₁, y₁) = (-4, 5)

Then, we can calculate the slope from the information given

Two lines with slopes (m₁ and m₂) that are perpendicular to each other are related through

m₁ × m₂ = -1

From the line given,

y = (3/2)x - 2

We can tell that m₁ = (3/2), so, we can solve for m₂

(3/2) (m₂) = -1

m₂ = (2/3) (-1) = (-2/3)

We can then write the equation of the given line in slope-intercept form

y - y₁ = m (x - x₁)

y - 5 = (-2/3) (x - (-4))

y - 5 = (-2/3) (x + 4)

y - 5 = (-2x/3) - (8/3)

y = (-2x/3) - (8/3) + 5

y = (-2x/3) + (7/3)

Hope this Helps!!!

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telo118 [61]
The volume is 12x20x10 then divide by 2

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2400/2= 1200
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