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zloy xaker [14]
3 years ago
9

Please help will name brainliest: Make y the subject of the formula x=a-2by²

Mathematics
2 answers:
lozanna [386]3 years ago
4 0

Answer:

y = ± \sqrt{\frac{a-x}{2b} }

Step-by-step explanation:

Given

x = a - 2by² ( add 2by² to both sides )

x + 2by² = a ( subtract x from both sides )

2by² = a - x ( divide both sides by 2b )

y² = \frac{a-x}{2b} ( take the square root of both sides )

y = ± \sqrt{\frac{a-x}{2b} }

Alenkasestr [34]3 years ago
4 0

Answer:

y = a - x  \di2b

Step-by-step explanation:

2b {y }^{2}  = a - x

2b {y}^{2} \div 2b = a - x \ \div  2b

{y}^{2}  = a - x \div 2b

y =  \sqrt{a - x \div 2b}

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arsen [322]
Is there a picture of the shape, and is 4x - 2 AC or AB?
7 0
4 years ago
One root of f(x) = x + 10x2 – 25x – 250 is x = -10. What are all the roots of the function? Use the Remainder Theorem.
Natalka [10]

Answer:

-10

-5

5

Step-by-step explanation:

From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250

The Remainder Theorem is going to take a bit to solve.

You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.

The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.

However just to get the roots, the graph shows that

x = -10

x = - 5

x = 5

The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give

f((10) = 10^3 + 10*10^2 - 25*10 - 250

f(10) = 1000 + 1000 - 250 - 250

f(10) = 2000 - 500

f(10) = 1500 which is  not 0.

==================

f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250

f(1) = 1 + 10 - 25 - 250

f(1) = -264 which again is not zero

3 0
3 years ago
Read 2 more answers
Help pls!!!!! Brainliest goes to first right answer
zepelin [54]

Answer:

96 inch²

Step-by-step explanation:

there are 2 shapes,

1. a square

2. a triangle

lets find the area of the square first,

<u>AREA = SIDE × SIDE</u>

= 8 × 8

= 64 inch²

now, area of triangle ,

area \:  =  \frac{1}{2}  \times base \:  \times height \:

=  \frac{1}{2}  \times 8 \times 8 \\  =  \frac{1}{2}  \times 64 \\  = 32 \:  {inch}^{2}

so, total area is :

area of square + area of triangle

= 64 + 32

= 96 inch²

7 0
3 years ago
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A ribbon is cut into n parts. The length of each part increases such that they form a geometric progression. SPM Given the lengt
emmainna [20.7K]

Answer:

Step-by-step explanation:

Let\ say\ r \ the \common\ ratio:\\a)a_4=r^2*a_2=9*a_2\Longrightarrow\ r=3\ (not\ -3\ since\ parts\ are\ positive)\\\\b)\\\displaystyle \sum_{i=1}^{n} a_i =a_1+a_2+a_3+...+a_n\\\\=a_1+a_1*r+a_1*r^2+a_1*r^3+...+a_1*r^{n-1}\\\\=a_1*(1+r+r^2+...+r^{n-1})\\\\=a_1*\dfrac{r^n-1}{r-1} \\\\147620=5*\frac{(3^n-1)}{3-1} \\\\3^n-1=\frac{2*147620}{5} \\\\3^n=59049 \\\\n*ln(3)=ln(59049)\\\\n=\dfrac{ln(59049)}{ln(3)} \\\\n=10\\\\a_n=5*3^{10-1}=5*19683=98415(cm)

5 0
3 years ago
Trigonometry:
Trava [24]

A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

A.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

  • A = 0.05 radians,
  • BC = height of building and
  • AB = 2 km = 2000 m
<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

B.

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

  • r = radius and
  • Ф = angle in radians
<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

  • L = BC,
  • r = AB and
  • Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

7 0
3 years ago
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