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3 years ago

Explain how you know that x^2-8x+20 is always positive. Please help.

Mathematics

1 answer:

IRISSAK [1]3 years ago

4 0

Answer:

if you rearrange to complete the square, you get (x^2-4)^2 +4

and seeing as anything squared will always be positive or zero, the lowest possible value for (x^2-4)^2 is 0, when x = 4

and 0 + 4 = 4, which is greater than 0, so positive

Step-by-step explanation:

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Triangle NLM is reflected over the line segment as

Vladimir [108]

NLM-CAB would be the right answer

3 0

3 years ago

Pls help its due at 11:10

arlik [135]

Answer:

firstly

we all know that the angles of a triangle they all add up to 180° meaning when you add them all they must give you 180°

88°+33°+L = 180° ( sum of angle in a ∆)

121° + L = 180°

L = 180° - 121°

L = 59°

Step-by-step explanation:

first you you must add all your angles and all equal to 180°

that you add the like terms

than you transpose 121° to the right hand side

5 0

3 years ago

Factor the expression<br> 20g3 + 24g2 – 15g – 18

abruzzese [7]

First, put parenthesis around the first two numbers and the last two numbers.
(20g³+24g²) (-15g-18)
Then, take out the greatest common factor of both parenthesis.
4g²(5g+6)-3(5g+6)
You then separate the numbers outside the parenthesis and the numbers in the parenthesis.
(5g+6) (4g²-3)
Then you simplify the second set of numbers. Since the set of numbers can't be simplified, you would leave this problem as it is. I hope this makes sense.

3 0

3 years ago

I will give brainlest

AfilCa [17]

1. X + 5
2.15-15
3. C= ( 3x9.95)+(2x14.98)
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5. 12,000+500x ?idk

6 0

3 years ago

Given the system of inequalities below: -3x - y < 12 2x + 3y ≥ 9 Give the coordinates of three points that are members of the

earnstyle [38]

Answer:

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

Step-by-step explanation:

we have

$-3x-y< 12$ ----> inequality A

The solution of the inequality A is the shaded area above the dashed line

$2x+3y\geq 9$ ----> inequality B

The solution of the inequality B is the shaded area above the solid line

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Remember that,

If a ordered pair is a solution of the system of inequalities, then the ordered pair must be in the shaded area of the solution

Plot the points

(-3, 7), (-3, -7), (3,-7), (-4,-0), (0,-4), (0,4), (2,3), (-2,3), (2,-3)

therefore

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

3 0

4 years ago