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Gwar [14]
3 years ago
13

The vertex of this parabola is at (5, 5). when the x-value is 6, they-value is -1. what is the coefficient of the squared expres

sion in the parabola's equation?
Mathematics
2 answers:
svetlana [45]3 years ago
5 0

 

hello :<span>
<span>the parabola's equation is : f(x) = a(x-5)²-5
the coefficient of the squared expression in the parabola's equation is : a
but ; f(6) = - 1
- 1 = a(6-5)²+5
a+5=-1.....a=-6
f(x) = -6(x-5)²+5</span></span>

<span><span>so : a = - 6</span></span>

Makovka662 [10]3 years ago
3 0

Answer:

-6

Step-by-step explanation:


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Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
topjm [15]

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)

\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)

On comparing both sides, we get

\dfrac{4+a}{2}=\dfrac{-1}{2}

4+a=-1

a=-1-4

a=-5

And,

\dfrac{5+b}{2}=\dfrac{3}{2}

5+b=3

b=3-5

b=-2

Therefore, the coordinates of fourth vertex are (-5,-2).

3 0
2 years ago
What is 4 yards and 2 feet multiplied by 3
lesantik [10]

Answer:

12 yds and 6 feet, aka 42 feet.

Step-by-step explanation:

You multiply everything by 3. Then you convert yards to feet, then add everything together.

5 0
2 years ago
. The volume of a box is 405 cubic units. The length is x units, the width 4 units greater than the length, and the height is 9
lukranit [14]

Answer:

length = 5

width = 9

Step-by-step explanation:

V = lwh

let 'x' = length

let '4+x' = width

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405 = 9x(4+x)

405 = 36x + 9x²

this is a quadratic equation:  9x² + 36x - 405 = 0

factor out a 9 to get:

9(x² + 4x - 45) = 0

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one root is 5 and the other is -9

since distance cannot be negative we use 5 as the length and 9 is the width

3 0
2 years ago
What number is 25% of 5/8
sergij07 [2.7K]

Answer:

5/32 or .15625

Step-by-step explanation:

5/8=.625x.25=5/32 or .15625

3 0
2 years ago
How do you do this?<br><br> I’ve been having trouble with this for the past 10 mins
xz_007 [3.2K]
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7 0
3 years ago
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