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Nostrana [21]
3 years ago
12

Solve the equation by completing the square m^2+6m-77=-5

Mathematics
1 answer:
Grace [21]3 years ago
6 0
Maybe you thought about this:
m^2+6m-77+5=0 => m^2+6m-72=0 => m^2+ 2*3*m+3^2-3^2-72=0
=> m^2+2*3*x+3^2= (m+3)^2 this is the complete square of the binomial, we will still keep it =>
(m+3)^2 -9 -72=0 => (m+3)^2 - 81 = 0 => (m+3)^2 - 9^2 = 0
Now we got the difference squares, it mean a^2 - b^2 = (a-b) (a+b)
In according to this => (m+3-9) (m+3+9) = 0 =>
(m-6) (m+12)=0 => m-6=0 or m+12=0 => m1=6 or m2= -12 !!!!
Are you satisfied with this solution?

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The length of the bed of Deans truck is 76inches. What is the length of the bed of Deans truck in yards
sergejj [24]

Answer:

Roughly 2.11 or 19/9 yards

Step-by-step explanation:

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zepelin [54]

Answer: 72 inches squared

Step-by-step explanation:

So, the real floor of a classroom is 36 feet by 32 feet.

And the scale drawing, has length of the classroom equal to 9 inches.

What is the area in square inches of the floor in the scale drawing

1 foot = 12 inches

The length of the classroom, measured in feet, has been multiplied by 12, to get converted in inches. After that, it has been divided by a number, a proportion, to get to 9 inches.

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Now, to solve for x, we can cross-multiply

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Divide 9 inches on both sides.

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To solve the exercise, we need to calculate the floor's area in the scale drawing.

We have the length = 9 inches.

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6 0
2 years ago
2) What is the inequality that this graph represents? -15 # 3 6 x​
kvasek [131]

Answer:  y < -\frac{1}{2}x+3

This is the same as writing y < (-1/2)x+3

==============================================================

Explanation:

The dashed boundary line goes through (0,3) and (4,1)

Apply the slope formula for those two points

m = (y2-y1)/(x2-x1)

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The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing y = -\frac{1}{2}x+3

We shade below the dashed line to represent the inequality y < -\frac{1}{2}x+3. Points in the shaded region are solutions to the inequality. One example point is (0,0).

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