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DanielleElmas [232]
3 years ago
5

Factor the trinomial completely. 2a²+ 5ab+2b²

Mathematics
1 answer:
nignag [31]3 years ago
5 0

(2a + b) (a + 2b)

Factor by grouping.

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Find an equation of the line in the form ax+by=c whose​ x-intercept is 12 and​ y-intercept is 4​, where​ a, b, and c are integer
Lostsunrise [7]

Answer:

The equation of the line  in ax+by=c  form where a,b,c  are integers with no factor common to all​ three, and greater than or equal 0 is:

x+3y=12

Step-by-step explanation:

Given:

x-intercept = 12

y-intercept = 4

To find the equation of line in the form ax+by=c where a,b,c  are integers with no factor common to all​ three, and greater than or equal 0.

Solution:

The x-intercept is the point at which the line cuts the x-axis. The point of x-intercept is given as (x,0)

Thus, on point of the line is (12,0)

The y-intercept is the point at which the line cuts the y-axis. The point of y-intercept is given as (0,y).

Thus, on point of the line is (0,4)

Using the two points we can find the slope of the line using the slope formula.

m=\frac{y_2-y_1}{x_2-x_1}

So, slope of the line can b given as:

m=\frac{4-0}{0-12}

m=\frac{4}{-12}

m=-\frac{1}{3}

The slope intercept form of the equation of he line is given as:

y=mx+b

where m represents slope of the line and b represents the y-intercept.

So, the equation of the line can be given as:

y=-\frac{1}{3}x+4

Multiplying each term by 3 to remove fraction.

3y=3.-\frac{1}{3}x+4(3)

3y=-x+12

Adding x both sides.

3y+x=-x+x+12

3y+x=12

Thus, the equation of the line  in ax+by=c  form where a,b,c  are integers with no factor common to all​ three, and greater than or equal 0 is:

x+3y=12

8 0
3 years ago
What is the vertex of the parabola with the equation y=1/5x^2 + 2x - 8
bixtya [17]

Answer:

(-5,-13)

Step-by-step explanation:

Find the vertex of the parabola y=1/5x^2+2x−8.  

In this equation a=15  and b = 2.  

x= -2/2(1/5) = -2/2/5 = -2/1 * 5/2 = -5

Substitute −5 into the equation y=1/5x^2+2x−8

y=1/5(−5)^2+2(−5)−8

y=5−10−8

y=−13

The vertex is (−5 , −13)

8 0
2 years ago
Plzzzzzzzzzzz Helpppppppppppppp
s2008m [1.1K]

Answer:

y = -2x - 6

Step-by-step explanation:

Find the gradient: y difference/x difference

0 - (-6) / -3 - 0

6 / -3

= -2

y = mx + c

-6 = -2 × 0 + c

-6 = c

= C = -6

6 0
3 years ago
I dont really know what i am supposed to do so if someone could explain that would be awesome
DerKrebs [107]
You multiply the slope with the points
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3 years ago
A recent report indicated that 22 percent of the households in a certain community speak a
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Answer:

16.1157

Step-by-step explanation:

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