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3 years ago

Find the vertex for the equation: y = 3x^2 + 18x + 30 (-3, 3) (-3, -51) (3, 111)

Mathematics

2 answers:

Papessa [141]3 years ago

8 0

I think (-3, 3 ) !!!!!!!!!!!

Tems11 [23]3 years ago

4 0

Y = 3x^2 + 18x + 30
a = 3, b = 18, c = 30

h = -b/2a = -18 / 6 = -3
k = (4ac – b^2) / 4a = (360 - 324)/12 = 36/12 = 3

vertex (h, k) = (-3,3)

answer
(-3, 3)

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Angelina_Jolie [31]

Hi there!

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A = 1/2 (bh)

Thus:

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Multiply by the depth to find the volume:

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5 0

2 years ago

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The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid

MaRussiya [10]

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = $x$

As length is 12 feet longer than the width.

Length of a rectangular wall of a barn = $12+x$

As we know:

$Area\ of\ rectangle=length\times breadth$

$85=(12+x)x\\\\85=12x+x^{2} \\$

Subtracting both sides by 85

$x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5$

As width can never be in negative, hence width of a rectangular wall of a barn = $x$ = 5 feet

Length of a rectangular wall of a barn = $12+x=12+5=17\ feet$

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

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3 years ago

Find the values of the mode when median is given to be 5 and mean is 7.

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Answer:

Mode = 1

Step-by-step explanation:

Relation between the Central Measures of Tendency

Mean, Median, and Mode are commonly referred to as the Central Measures of Tendency
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Median = 5
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Therefore,

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2 years ago

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Half the sum of a number and 1.75 is −5.1. Enter your answer as a simplified mixed number

musickatia [10]

The unknown number expressed as a mixed fraction is 11 19/20

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The sum of the number and 1.75 is expressed as x + 1.75

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1/2(x+1.75) = -5.1

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Learn more here: brainly.com/question/14583740

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2 years ago

Maths -|-30-(10-20)|-|5-(10-15)|=? If someone helped me , I would be grateful

defon

Answer:

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Step-by-step explanation:

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3 years ago