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STALIN [3.7K]
3 years ago
14

matt rode his bike to the store by traveling 5 km east and the 3 km north. what distance (a) did he travel? and what was his dis

placement (b)?
Mathematics
1 answer:
slamgirl [31]3 years ago
8 0
A = 5 km is your distance it is how far he traveled.

b = 3 km is your displacement it's the length in which he when north.
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Which is more, 13 feet or 4 yards?
NikAS [45]

Answer:

it is 13 feet

Step-by-step explanation:

because it is 4.33333 yards

3 0
3 years ago
Please help ASAP and help me find what the value of x is
elixir [45]

Answer:

x=44

Step-by-step explanation:

33+103+x=180

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6 0
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Read 2 more answers
Factor completely 2x2 − 6x − 36.
gavmur [86]
To factor out completely, we should have reached the most simplified form,
first we should take out 2.
2(x2 - 3x - 18)
then we should factor out the inside of the parenthesis,
2(x - 6)(x + 3)
And that's the most simplified and factored out form.

The final answer is then the second option, <span>2(x − 6)(x + 3)</span>
4 0
3 years ago
Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60
RSB [31]

Answer:

f(x)=2x^{3}+24x^{2}+82x+60

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

f(x)=a(x+6)(x+5)(x+1)

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

60=a(0+6)(0+5)(0+1)

60=a(6)(5)(1)

60=30a

a=2

so

f(x)=2(x+6)(x+5)(x+1)

Applying the distributive property

Convert to expanded form                  

f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60

3 0
3 years ago
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