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Olin [163]
3 years ago
7

Write in vertex form

Mathematics
1 answer:
dem82 [27]3 years ago
5 0

Answer:

<em>p</em>(<em>x</em>) = 6(x + 2)² - 3

Step-by-step explanation:

This one requires a lot of thinking because since our <em>A</em><em> </em>is not 1 and how the quadratic equation looks, we need to think of a low number while "completing the square [½B]²". So, let us choose 2. We set it up like this:

6(x + 2)² → 6(x² + 4x + 4) → 6x² + 24x + 24

6x² + 24x + 24 - 3 → 6x² + 24x + 21 [TA DA!]

We know that our vertex formula is correct. Additionally, <em>-h</em> gives you the OPPOSITE terms of what they really are, and <em>k</em><em> </em>gives you the EXACT terms of what they really are. Therefore, your vertex is [-2, -3].

I am joyous to assist you anytime.

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3 0
3 years ago
Determine the solution set of (x - 3)2 = 49. {6, -8} {4, 10} {10, -4}
never [62]

Answer:

{10, -4}

Step-by-step explanation:

(x-3)^2 = 49

Take the square root of each side

sqrt((x-3)^2) = sqrt(49)

x-3 = ±7

Add 3 to each side

x-3+3 = 3±7

x =  3±7

x = 3+7   and x = 3-7

x = 10        x = -4

5 0
3 years ago
Find the area of a garden with a length of 3 1/2 yards and a width of 2 2/3 yards
Dahasolnce [82]

Answer:

2.33 yards

Step-by-step explanation:

3 1/2-3.5

2/3-0.66

0.66 x 3.5 = n

7 0
2 years ago
given MP m(-12 -5) and p(9,-12) if N lies on MP such that the ratio of MN to NP is 3:4, Find the coordinates of N
Nataly_w [17]

Answer:

The coordinates of N are (-3,-8)

Step-by-step explanation:

Here, we are going to use the internal division to find the coordinates of the point split the line segment MP in the ratio 3:4

Mathematically, that would be;

(x,y) = (nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

we have;

m = 3 and n = 4

M is (x1,y1) while N is (x2,y2)

we have;

(x,y) = (4(-12) + 3(9))/(3+4) , (4(-5) + 3(-12))/(3+4)

(x,y) = (-48 + 27)/7, (-20 -36)/7

(x,y) = (-21/7 , -56/7)

(x,y) = (-3,-8)

8 0
3 years ago
Hi, please help if your are able please
Simora [160]
The answer is -28


hope this helps :)
(can you please mark me as brainliest?)
8 0
3 years ago
Read 2 more answers
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