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Marina86 [1]
2 years ago
13

Write down the equation of the function whose graph is shown. will mark brainliest

Mathematics
1 answer:
timofeeve [1]2 years ago
6 0

Answer:

y = 1(x - 5)² + 3

Step-by-step explanation:

The general formula of a quadratic equation is written as;

y = a(x − h)² + k

Where (h, k) are the x and y coordinates at the vertex.

Our vertex coordinate is (5, 3)

Thus;

y = a(x - 5)² + 3

Now,we are given another coordinate as (8, 12)

Thus;

12 = a(8 - 5)² + 3

12 = 9a + 3

9a = 12 - 3

9a = 9

a = 9/9

a = 1

Thus,the equation is;

y = 1(x - 5)² + 3

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Step-by-step explanation:ur cool

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2 years ago
Read 2 more answers
Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
2 years ago
Picture, brainliest
seraphim [82]

Answer:

165

Step-by-step explanation:

210/3=70

110/2=55

70×11=770

55*11=605

770-605= 165

y would be 165 greater in the table than on the graph when x=11

7 0
3 years ago
Which reason best explains why m^10n^3 is NOT equal to (mn)^13?
Hunter-Best [27]

Answer:This law of exponents can only be used when the bases are equal.

Step-by-step. explanation:

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2 years ago
Then solve each problen
marysya [2.9K]

Answer:

75

a(0.80)=60

a=60/0.80

a=75

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