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3 years ago

Factor the trinomial: 3x2 + 13x + 12

Mathematics

1 answer:

yarga [219]3 years ago

8 0

Answer:

Step-by-step explanation:

(3x + 4)(x + 3)

3x^2 + 9x + 4x + 12

3x^2 + 13x + 12

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Express 3a2b-1 with positive exponents.

serg [7]

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4 years ago

Find the complement of the set given that

natima [27]

The complement of the set is {8, 9, 10, 11}

<h3>How to find the complement of the set?</h3>

The universal set is given as:

U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}.

The other set is given as:

{x | x is in N and x < 8}

The complement of the set is the set elements that are in the universal set, but not in the given set

The set {x | x is in N and x < 8} can be rewritten as

X = {0, 1, 2, 3, 4, 5, 6, 7}

So, the complement is

X' = {8, 9, 10, 11}

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2 years ago

Mary is flying a kite and has let out 50 yards of kite string. Mary’s kite is directly above Erika.

ch4aika [34]

The distance of Erika from kite directly is 35.71 yards

Step-by-step explanation:

Considering the given situation as a right triangle with string as hypotenuse and the distance between both girls as base

So,

$h = 50\ yards\\b = 35\ yards$

As the triangle is a right triangle, we can use pythagoras theorem to solve this problem.

$h^2 = b^2 + p^2\\p^2 = h^2 - b^2\\p^2 = (50)^2 - (35)^2\\p^2 = 2500-1225\\p^2 = 1275\\\sqrt{p^2} = \sqrt{1275}\\p = 35.707\ yards$

Rounding off to nearest hundredth

=> 35.71 yards

Hence,

The distance of Erika from kite directly is 35.71 yards

Keywords: Triangle, Pythagoras

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3 years ago