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Savatey [412]
3 years ago
12

If (x + 8) is a factor of f(x), which of the following must be true?

Mathematics
1 answer:
ankoles [38]3 years ago
6 0

Answer:

x = -8 is a root.

f(-8) = 0 is correct.

Step-by-step explanation:

As

(x + 8) is a factor of f(x)

then it must be

x = -8 is a root.

Therefore,

f(-8) = 0 is correct.

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Answer:

Number of years between 1950 and 2100 =

2100 - 1950 = 150 \: years

150 = 50 + 50 + 50 years.

2500000 \times 150 = 375,000,000

So, total population in 2100 is 375,000,000.

8 0
3 years ago
Joy and Peter were each walking along a straight road. joy walked 1800 meters in 1/3 hour. Peter walked 1/2 of joys distance in
Citrus2011 [14]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Select the digit in the ten thousand place for 542,970​
Vesna [10]

Answer:

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Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
If A(-5,7), B(-4,-5), C(-1,-6) and D(4,5) are the vertices of a quadrilateral, find the area of the quadrilateral ABCD.
MrMuchimi
After plotting the quadrilateral in a Cartesian plane, you can see that it is not a particular quadrilateral. Hence, you need to divide it into two triangles. Let's take ABC and ADC.

The area of a triangle with vertices known is  given by the matrix
M = \left[\begin{array}{ccc} x_{1}&y_{1}&1\\x_{2}&y_{2}&1\\x_{3}&y_{3}&1\end{array}\right]

Area = 1/2· | det(M) |
        = 1/2· | x₁·y₂ - x₂·y₁ + x₂·y₃ - x₃·y₂ + x₃·y₁ - x₁·y₃ |
        = 1/2· | x₁·(y₂ - y₃) + x₂·(y₃ - y₁) + x₃·(y₁ - y₂) |

Therefore, the area of ABC will be:
A(ABC) = 1/2· | (-5)·(-5 - (-6)) + (-4)·(-6 - 7) + (-1)·(7 - (-5)) |
             = 1/2· | -5·(1) - 4·(-13) - 1·(12) |
             = 1/2 | 35 |
             = 35/2

Similarly, the area of ADC will be:
A(ABC) = 1/2· | (-5)·(5 - (-6)) + (4)·(-6 - 7) + (-1)·(7 - 5) |
             = 1/2· | -5·(11) + 4·(-13) - 1·(2) |
             = 1/2 | -109 |
<span>             = 109/2</span>

The total area of the quadrilateral will be the sum of the areas of the two triangles:

A(ABCD) = A(ABC) + A(ADC) 
               = 35/2 + 109/2
               = 72
8 0
3 years ago
For the figures shown, HJKL ~ QRST, and the scale factor of HJKL to QRST is 9/7.
ch4aika [34]
Hey there! :)

JK ≈ RS

Scale Factor = 9/7

JK = 56

<u>56</u> · <u>9</u> = <u>504</u>  =  72
 1    7 =   7

Your answer ⇒ B.72

Hope this helps :)
4 0
3 years ago
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