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kondor19780726 [428]
4 years ago
13

Which equation and ordered pair represent the correct vertex form and vertex for j(x) = x2 − 12x + 7?

Mathematics
1 answer:
n200080 [17]4 years ago
6 0
We have the following equation:
 j (x) = x2 - 12x + 7
 We match zero:
 x2 - 12x + 7 = 0
 We pass the constant term to the right:
 x2 - 12x = -7
 We complete square:
 (b / 2) ^ 2 = (-12/2) ^ 2 = (-6) ^ 2 = 36
 x2 - 12x + 36 = -7 + 36
 x2 - 12x + 36 = 29
 The equation in the form of vertex is:
 (x-6) ^ 2 = 29
 The vertice is:
 (6, -29)
 Answer:
 
the correct vertex form is:
 
(x-6) ^ 2 = 29
 
the vertex is:
 
(6, -29)
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alukav5142 [94]
-3(y+3)=2y+3
\\\ Distributation
\\\ -3y-9 = 2y+3
\\\ Grouping
\\\ 5y = -12
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7 0
3 years ago
A section of a boardwalk is made using 15 boards. Each board is 914914 inches wide. The total width of the section is 144 inches
xeze [42]


<span><span>15 times 9.25 = 138.75 inches.
That leaves

144-138.75 = 5.25 inches for spaces. 
Between the 15 boards are just 14 spaces, however.
So divide 5.25 by 14 and get
3/8" for each space.</span>
<span>Answer by </span>Cromlix(4300)   (Show Source):You can put this solution on YOUR website!
<span>Hi there,
14 boards each 9 1/4 inches wide.
14 x 9 1/4 = 138 3/4 inches
144 inches - 138 3/4 inches

= 5 1/4 inches
Spaces between 14 boards
= 13 spaces.
5 1/4 / 13 = 2/5 of an inch.
Hope this helps. :-)</span></span>
8 0
3 years ago
Read 2 more answers
Anika is hiking on a rectengular trail at the nation park there are four resting spots along the corners of the trail on the map
Drupady [299]

Answer:

The perimeter is 14 units

<em></em>

Step-by-step explanation:

Given

A = (-2,2)

B = (1,2)

C = (1,-2)

D = (-2,-2)

Required

Determine the perimeter

To do this, we simply calculate the distance between the sides of the rectangle i.e. AB, BC, CD and DA.

Distance (d) is calculated using:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

For AB

A = (-2,2) --- (x_1,y_1)

B = (1,2) --- (x_2,y_2)

AB = \sqrt{(-2 - 1)^2 + (2 - 2)^2} = \sqrt{9} = 3

For BC

B = (1,2) --- (x_1,y_1)

C = (1,-2) --- (x_2,y_2)

BC = \sqrt{(1-1)^2 + (2--2)^2} = \sqrt{16} = 4

For CD

C = (1,-2) --- (x_1,y_1)

D = (-2,-2) --- (x_2,y_2)

CD = \sqrt{(1 - -2)^2 + (-2 -- 2)^2} = \sqrt{9} = 3

For DA

D = (-2,-2) --- (x_1,y_1)

A = (-2,2)  --- (x_2,y_2)

DA = \sqrt{(-2--2)^2 + (-2-2)^2} = \sqrt{16} = 4

So, the perimeter (P) is:

P = AB + BC + CD + DA

P = 3 +4 + 3 + 4

P = 14

<em>The perimeter is 14 units</em>

5 0
3 years ago
WILL EARN BRAINLIEST! [Rate of Functions]
AURORKA [14]

Answer:

every pair is being multi by the next number

Step-by-step explanation:

2 x 3 =6

3 x 4 = 12 so the second number goes up one every time

7 0
3 years ago
What is the percent increased from 22.5 to 27.5
Flauer [41]

Answer:6.27

Step-by-step explanation: 22.8 increased by 27.5%

27.5% × 22.8 = 6.27

27.5 ÷ 100 × 22.8 = 6.27

27.5 × 22.8 ÷ 100 = 6.27

627 ÷ 100 = 6.27

4 0
3 years ago
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