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sashaice [31]
3 years ago
7

If B(-5,8) is rotated about the origin by 180°, what are the new x and y coordinates for B'?

Mathematics
1 answer:
gladu [14]3 years ago
8 0

Answer: B' (5, -8)

Step-by-step explanation:

Rotating 180 around the origin rule:

(x,y)--> (-x-y)

B (-5,8) B' (5, -8)

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If f(x) = 4x2 - 5x + 7 and g(x) = 3x2 - 2x + 8, find f(x) + g(x). A) 7x2 - 7x + 15 B) 7x4 - 7x2 + 15 C) 7x2 + 15 D) 12x4 - 8x3 +
lutik1710 [3]

Answer:

A) 7x^2-7x+15

Step-by-step explanation:

f(x) = 4x2 - 5x + 7,

g(x) = 3x2 - 2x + 8

f(x) +g(x) =

4x^2 - 5x + 7 + 3x^2 - 2x + 8=

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3 years ago
A rectangle has sides measuring (6x + 4) units and (2x + 11) units. Part A: What is the expression that represents the area of t
valentinak56 [21]

Answer:

Step-by-step explanation:

Part A:

A=lw

A=(6x + 4)*(2x + 11)

multiply it out:

A=6x*2x+6x*11+4*2x+4*11

A=12x^(2)+66x+8x+44

add like terms

A=12x^(2)+<u>66x+8x</u>+44

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A=12x^(2)+74x+44

the expression used to find area is 12x^(2)+74x+44

Part B:

this is:

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and

since it has three monomials (terms that are separated by + or - signs):

12x^(2)+<u><em>74x</em></u>+44

Part C:

(not sure about this one)

all area is positive or 0 (no area), so lets find the values of x that are true:

lets find the zeros

(6x + 4)*(2x + 11)=0

6x+4=0

6x=-4

x=-4/6

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0

x is greater than (-2/3)

Thus, any real number greater than -2/3 makes

(6x + 4)*(2x + 11) equals the expression:

12x^(2)+74x+44, where x is a real number greater than -2/3

if lets say x= 1, a counting number then:

(6*1 + 4)*(2*1 + 11)=12*1^(2)+74*1+44

(6+4)*(2+11)=12*1+74+44

10*13=12+118

130=130

130 and 1 are both counting numbers, proving the closure property of polynomials

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3 years ago
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