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3 years ago

5

Rewrite the quadratic equation 2x squared plus 12x plus 1 equal y

1 answer:

Sladkaya [172]3 years ago

3 0

Answer:16x+1 = y

Step-by-step explanation:

2x squared is basically 2x times 2x which is 4x. So now that you eliminated that you have 4x+12x+1 = y . Now you have to group like terms. 4x+12x= 16x. So now you have 16+1 = y.

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4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

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3 years ago

Find the measure of the numbered angle m<2

olya-2409 [2.1K]

130 degrees yuhhhhhhhh

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3 years ago

In a survey of 1200 teenagers, 48% said they are involved in an extracurricular activity. What is the margin of error for the su

nevsk [136]

The answer is 1200 teenagers

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3 years ago

A)<br>be<br>85°<br>120°<br>(2x - 10°<br>X

Lunna [17]

Let's see what to do buddy...

_________________________________

Step (1)

We know that the sum of the interior angles of any n-sided figure is obtained from the following equation :

$(n - 2) \times 180$

Our figure has 5 sides ;

So , sume the interior angles of it equals :

$(5 - 2) \times 180 = 3 \times 180 = 540 \\$

_________________________________

Step (2)

First look at the photo which I post.

According it we have :

$(180 - x) + 120 + 85 + (2x - 10) + 90 = 540 \\$

$2x - x + 475 - 10 = 540$

$x + 465 = 540$

Subtract the sides of the equation minus 465 :

$x = 540 - 465$

$x = 75$

_________________________________

And we're done.

Thanks for watching buddy good luck.

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3 years ago

What is the first step to verify that the following identity is true?

umka2103 [35]

Step-by-step explanation:

this right ans according to your question

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3 years ago