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____ [38]
3 years ago
6

Write th fraction 12/15 in its simpliest form​

Mathematics
2 answers:
kolbaska11 [484]3 years ago
4 0

Answer:

4/5

Step-by-step explanation:

Common factor is 3 so,

if you divide 12/15 by 3, then it will equal to 4/5

nikklg [1K]3 years ago
3 0

Answer:

4/5

Step-by-step explanation:

3 because thats what they have in common so devide both by 3 to get the answer

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Y=x^2-6x+3 help write the vertex form of the equation
Artist 52 [7]

Answer:

y=(x-3)^2-6

Step-by-step explanation:

y=x^2-6x+3

This is written in the standard form of a quadratic function:

y=ax^2+bx+c

where:

  • ax² → quadratic term
  • bx → linear term
  • c → constant

You need to convert this to vertex form:

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

where:

  • (h,k) → vertex

To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

x=-\frac{b}{2a}

Using your original equation, identify the a, b, and c terms:

a=1\\\\b=-6\\\\c=3

Insert the known values into the equation:

x=-\frac{(-6)}{2(1)}

Simplify. Two negatives make a positive:

x=\frac{6}{2} =3

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

y=3^2-6(3)+3

Simplify using PEMDAS:

y=9-18+3\\\\y=-9+3\\\\y=-6

The value of y is -6 (3,-6). Insert these values into the vertex form:

(3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)

Insert the value of a and simplify:

y=(x-3)^2-6

:Done

6 0
3 years ago
A map of the Hill Park hiking trails uses the scale
Makovka662 [10]

Answer:

wish i could help

Step-by-step explanation:

1

1

2

2

s

7 0
3 years ago
What are the solutions of the system?
svetlana [45]

Answer:

Option C. No solution is the right answer.

Step-by-step explanation:

Here the given equations are y = x²+2x+3 -----(1)

and y = 4x-2 -------(2)

Now we substitute the value of y from equation 2 into 1.

x²+2x+3 = 4x-2

x²+2x+3-2x = 4x-2-2x

x²+3 = 2x-2

x²+3-2x = 2x-2x-2

x²-2x+3 = -2

x²-2x+5 = 0

Then value of x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}

=\frac{+2\pm \sqrt{4-4\times 1\times 5}}{2}

=\frac{2\pm \sqrt{4-20}}{2}

Since in this solution √(-20) is not defined. Therefore there is no solution.

3 0
3 years ago
Read 2 more answers
Question #3) 3 times of 5 feet inch=____feet ____ inches
Kamila [148]
I assume that you mean 3 times 5 feet means how many feet and inches

so the answer is 5 feet and <u>blank </u> inches

or 12 inch in 1 feet so 12 times 5=60 so 60 inches

or you may have forgotton to put a number before the first inch word like 5 feet <u>3</u> inch
6 0
3 years ago
(5.27) An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he m
harkovskaia [24]
The regression line equation is y=85+16x, the value of the slope is shown as constant 16 and it's a positive constant, hence the correlation between the amount of gas used and degree of the days is a POSITIVE correlation. 
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