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slavikrds [6]
4 years ago
15

Use polynomial long division to divide 2x2 + 3x −1 by x + 4. What are the quotient and remainder?

Mathematics
1 answer:
Karo-lina-s [1.5K]4 years ago
4 0

Step-by-step explanation:

2x - 5

x+4 / 2x^2 + 3x - 1

- 2x^2 + 8x

0 -5x - 1

- -5x - 20

0 19

Quotient = 2x - 5 + 19/x+4

Remainder = 19/x+4

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The height of a triangle is 7 ft more than its base. If the area of the triangle is 30 ft2, what is the length of the base?
SSSSS [86.1K]

Answer:

see below

Step-by-step explanation:  5 27  7  16

area = 1/2 bh

height of a triangle is 7 ft more than its base

base = b

height = b + 7

area = 30

area = 1/2 b(h)

30 = 1/2 b(b + 7)

30 = 0.5(b²+ 7b)

30 = 1/2 b²+ 3.5b           solve for b

1/2 b²+ 3.5b = 30        

1/2 b²+ 3.5b - 30 = 0        

b²+ 7b - 60 = 0            factor

   (b +12)(b - 5) = 0    when b = -12 or 5     base length can't be negative

b = base = 5

area = 1/2 bh     1/2×2(9)     = 9

area = 1/2 bh     1/2×5(12)     = 60

area = 1/2 bh     1/2×9(16)     = 56

area = 1/2 bh     1/2×12(19)     = 114

5 0
3 years ago
What is the greatest negative value of x such that the square root of 50-x<br> is an integer?
ira [324]
It should be negative one  (-1)





8 0
3 years ago
8th grade math Ik but I do need help though
kramer

Answer:

x =-4

Step-by-step explanation:

4x+9 = -2x-15

Add 2x to each side

4x+2x +9 = -2x+2x-15

6x+9 = -15

Subtract 9 from each side

6x +9-9=-15-9

6x = -24

Divide each side by 6

6x/6 = -24/6

x = -4

7 0
3 years ago
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