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Salsk061 [2.6K]
3 years ago
5

Which is the best first step to write this in standard form?

Mathematics
1 answer:
goldenfox [79]3 years ago
4 0

Answer:

<em>Set the function equal to 0</em>

Step-by-step explanation:

<u>Standard Form of the Quadratic Equation</u>

The form

ax^2+bx+c=0

is called the standard form of a quadratic equation. It can be clearly identified the terms of a second-degree polynomial equated to 0.

The equation is given in the form:

2(x-4)^2-3=8

And we need to operate the expression to make it look like a standard form. The first logical step should be to set the function equal to 0 and then start to operate the resulting expression. It can be done by subtracting 8 on both sides of the equation:

2(x-4)^2-3-8=0

Answer: Set the function equal to 0

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Adaline is designing a garden in the shape of a 45º-45º-90º triangle, with an area of 32 ft2. To the nearest foot, how much fenc
wel

Answer:

27 ft

Step-by-step explanation:

Given: A garden in the shape of a 45º-45º-90º triangle.

Area of triangle= 32 ft²

As given dimension of triangle, we understand that it is a right angle and triangle and since two angles are equal, therefore two sides of triangle are also equal.  

∴ Base and height will be equal.

Assuming base is also as "h"

Now, finding the length of base and height by using area of triangle formula.

Area of triangle=  \frac{1}{2} \times base\times height

⇒32= \frac{1}{2} \times h\times h  

Multiplying both side by 2

⇒64= h^{2}  

Square rooting both side, remember; √a²= a

⇒  \sqrt{64} = h

∴ h= 8 feet

Hence, both base and height of right angle triangle is 8 feet.

Next, finding total fencing required to enclose the garden.

Perimeter of garden is equal to the amount of fencing required by Adaline.

Therefore, finding the length of hypotenous of triangle too.

Using pythogorean theoram.

h^{2} = a^{2} +b^{2}, where a is the height and b is the base of triangle.

⇒ h^{2}= 8^{2}  +8^{2}

⇒ h^{2} = 128

Square rooting both side

⇒h= \sqrt{128}

∴ h= 11.3 feet

Perimeter of garden= base+height+hypotenous

⇒ Perimeter of garden= 8+8+11.3= 27.3\ feet \approx 27\ feet

Hence, 27 feet fencing is required to enclose the garden.

3 0
3 years ago
Read 2 more answers
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y = 212.50 + 45
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5 0
3 years ago
Instructions: Drag each tile to the correct location on the algebraic problem. Not all tiles will be used.
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The steps involving properties of equality are shown in painful detail.

For Step 4, you add 7 to both sides of the equation (with the goal of cancelling the -7 on the left). So you have
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In the next step, this is simplified to the way you might have written it to start with:
&nbsp; 6x = 19

There should be no confusion in any of this. All solutions of all equations make use of the properties of equality like this. Addition is used to cancel subtraction, division is used to cancel multiplication. (Root-taking cancels powers, and vice-versa; inverse trig functions cancel trig functions; and so on.)

6 0
3 years ago
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myrzilka [38]
Log(7x+1) - log(x-2) =1

log[(7x+1) / (x-2)] =1 or log[(7x+1) / (x-2)] =log10 (log10=1)

it means (7x+1) / (x-2) =10

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Its line 1

if we expand the second and third expressions they come back to the first.

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