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3 years ago

10

You are playing a board game with a friend. At the start, you move four spaces back. On your next turn, you move two spaces forw

ard. Which expression can be used to find how far you are from your original position?

1 answer:

igomit [66]3 years ago

6 0

Answer:

x=-4+2

Step-by-step explanation:

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Factor Trinomials:

notka56 [123]

Answer:

1. $2(x+2)(x+5)$

2. $8(x+4)^{2}$

Step-by-step explanation:

<u>Problem #1:</u>

1. Find the GCF (Greatest Common Factor)

$GCF = 2$

2. Factor out the GCF and simplify.

$2(x^{2} +7x+10)$

3. Factor $x^{2} +7x+10$

<u>Which two numbers add up to 7 and multiply to 10?</u>

2 and 5

<u>Rewrite the expression using the above.</u>

$(x+2)(x+5)$

4. Done!

$2(x+2)(x+5)$

<u>Problem #2:</u>

1. Find the GCF (Greatest Common Factor)

$GCF=8$

2. Factor out the GCF and simplify.

$8(x^{2} +8x+16)$

3. Use the perfect square formula. $a^{2} +2ab+b^{2} =(a+b)^{2}$

$a = x\\b=4$

$(x+4)^{2}$

4. Done!

$8(x+4)^{2}$

8 0

2 years ago

The distance between city A and B is 600 km. The first train left A and headed towards B at the speed of 60 km/hour. The secon

hoa [83]

$\bf \begin{array}{ccccllll}
&distance&rate(km/hr)&time(hrs)\\
&\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\\
A&d&60&t\\
B&600-d&v&t+3
\end{array}$

$\bf \textit{meaning}\implies 
\begin{cases}
d=(60)(t)
\\ \quad \\
600-d=(v)(t+3)\\
------------\\
d=\boxed{60t}\qquad thus
\\ \quad \\
600-\boxed{60t}=v(t+3)\leftarrow \textit{solve for "t"}
\end{cases}$

keep in mind, that "t" is the time when the train at A station, left towards B station

they met, at some time "t", and by the time that happened, train from A
which started 3 hours earlier, had already covered "d" distance,
whatever that is
and the train coming from B, covered, 600-d, or the difference

8 0

2 years ago

write the equation of a line in any form that is parallel 2y = 4x + 8 through the point of (1,3) plz and thank you

V125BC [204]

Answer:

y = 2x+1

Step-by-step explanation:

$2y =4x+8\\\\ Write \:in \: y =mx+b \:form\\\\\frac{2y}{2} = \frac{4x}{2} +\frac{8}{2} \\\\y =2x +4\\m =2\\(1,3) =(x_1,y_1)\\Substitute\:values\:into\:point-slope\:form\\\\y-y_1=m(x-x_1)\\y-3=2(x-1)\\y-3 = 2x-2\\y=2x-2+3\\y =2x+1$

4 0

2 years ago

Read 2 more answers

Find the sample mean on the outputs. Does the sample mean provide some evidence that the mean of the population of all possible

soldi70 [24.7K]

I know it and it is 7

8 0

2 years ago

Explain one strAtegy for finding 2 2/5 + 1 2/5.

Monica [59]

Answer:

3 4/5

Step-by-step explanation:

just add the whole number then add the numerator then the denominator stay the same

4 0

3 years ago

Read 2 more answers