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mestny [16]
3 years ago
10

What is the value of x in the triangle ?

Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0
142.33 should be correct.
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What are the coordinates of the vertex for f(x) = 3x2 + 6x + 3? (−1, 0) (3, 6) (0, −1) (6, 3)
larisa [96]

Answer:

The vertex is the point (-1,0)

Step-by-step explanation:

we have

f(x)=3x^{2} +6x+3

we know ow that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

Convert the equation into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-3=3x^{2} +6x

Factor the leading coefficient

f(x)-3=3(x^{2} +2x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-3+3=3(x^{2} +2x+1)

f(x)=3(x^{2} +2x+1)

Rewrite as perfect squares

f(x)=3(x+1)^{2}

therefore

the vertex is the point (-1,0)

6 0
3 years ago
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5 Carla packs 4 pairs of pants, 2 pairs of shorts, and 3 skirts for her vacation.
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Ms. Novas bought 3 pounds of jelly beans. She kept 8 ounces for her family and gave the rest to her friends. She gave each frien
Yuki888 [10]

Answer:

A = 40/n

Therefore, she gave each friend 40/n ounces of jelly beans.

Step-by-step explanation:

Given;

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Total amount kept for family Ta = 8 ounces

Total amount given to friends = Ti

Number of friends = n

Amount given to each friend = A

Ti = To - Ta

A = Ti/n = (To-Ta)/n

A = (48 - 8)/n

A = 40/n

Therefore she gave each friend 40/n ounces of jelly beans.

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3 years ago
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5 0
3 years ago
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