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natali 33 [55]
3 years ago
6

Please Help practice #3

Mathematics
1 answer:
algol [13]3 years ago
5 0

Answer:

(2x+5)(4x+3)

Step-by-step explanation:

Given the expression 8x^2 + 26x + 15

Factorize

8x^2 + 26x + 15

= 8x^2 + 6x + 20x + 15

= 2x(4x+3) + 5 (4x+3)

= (2x+5)(4x+3)

Hence the factored form of the expression is (2x+5)(4x+3)

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A circle is defined by the equation x2 + y2 + 8x + 22y + 37 = 0. What are the coordinates for the center of the circle and the l
inn [45]
We can say that:
8x = -2ax
8 = -2a
a = -4

22y = - 2by
22 = -2b
b = -11

37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10

With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10

P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0

6 0
3 years ago
Given that F(x) = x 2 + 2, evaluate F(1) + F(5) <br> which is the answer? 38 30 15
Valentin [98]

your answer is 30

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6 0
3 years ago
The combined perimeter of the rectangle and triangle is 63 inches. The model shows the dimensions of the rectangle. What is the
katrin2010 [14]

*See diagram in the attachment

Answer:

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Step-by-step explanation:

Combined perimeter = perimeter of rectangle + perimeter of triangle = 63 inches

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W = 7 in.

Perimeter of rectangle = 2(11 + 7) = 36 in.

Let perimeter of the triangle be represented by x

Therefore:

36 + x = 63

Subtract 36 from each side

x = 63 - 36

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Perimeter of triangle = 27 inches

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Answer:

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Step-by-step explanation:

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3 years ago
How do I do number 2 ? Someone please helpp w
Alexxandr [17]

Answer:

yes it is a function

Step-by-step explanation:

You have to take the numbers and see if any of them are the same in the X column if their are some of the same numbers you only write the number once. than you connect the numbers to the given output. If any numbers have 2 outputs it is not a function.

7 0
3 years ago
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