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3 years ago

Julia bought name tags for a party. Each name tag is 334 in. wide and 213 in. high.

2 answers:

6 0

332in wide and 213 in high? thse are some big name tags
I'm guessing that you mean 3 and 3/4 inches by 2 and 1/3

so convert to impropoer fraciton
3 and 3/4=3+3/4=12/4+3/4=15/4
2 and 1/3=2+1/3=6/3+1/3=7/3

multily
15/4 times 7/3=105/12=96/12+9/12=8+3/4

8 and 3/4 square inches

OverLord2011 [107]3 years ago

5 0

Answer:

Step-by-step explanation:

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What is the midpoint between (-6,2) and (10,4)

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Answer:

(2,3)

Step-by-step explanation:

To find the x-coordinate of the midpoint, find the average of -6 and 10. It is 4/2, or 2.

To find the y-coordinate, proceed similarly. Find the average of 2 and 4. It is 3.

Thus, the midpoint is (2, 3).

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3 years ago

perform the steps for dividing the two polynomials using synthetic division. state the quotient, q(x), and the remainder, r(x).

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3 years ago

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3 years ago

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3 years ago

Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

$-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c$

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

4 0

3 years ago