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amid [387]
4 years ago
11

replacing a square window with a rectangular one. the new window is 3ft wider and 2ft higher than the square one. the area is 30

ft. how long was a side of the original square window?
Mathematics
1 answer:
zysi [14]4 years ago
3 0
So your equation would be x+3 times x+2 = 30
When you factor this out, you get x^2 + 5x + 6 = 30
Then you have to move the 30 over so you can set it equal to zero, so subtract 30 from both sides of the equal sign. 
You now have X^2 + 5x -24 =0
Here you'd try to refactor, but unfortunately that doesn't work in this equation so you have to use the quadratic formula. 

Look up the formula if you don't know it, it would be more confusing if I tried to type it out. Just keep in mind that for this equation, a=1 b=5 and c= -24. 

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(pages 2-7)
user100 [1]

Answer:

The answer is here

Step-by-step explanation:

https://www.khanacademy.org/test-prep/praxis-math/praxis-math-lessons/gtp--praxis-math--lessons--geometry/a/gtp--praxis-math--article--congruence-and-similarity--lesson

7 0
3 years ago
Write each verbal expression as an algebraic expression.
harina [27]
1. 9b
2.x^5
3.(3y)/12
4.(1-k)+7
8 0
2 years ago
A vending machine sells chips at $0.40 and candy at $0.50. Last month, the vending machine yielded $139.80 with a sale of 298 it
Sidana [21]
Let us say... . the machine sold packages of chips at the amount of "p",
and the machine also sold, last month as well, an amount of "c" candies

now, last month the machine sold total 298 items
that yielded a revenue of $139.80

so...whatever "p" and "c" are, we know that, their sum for last month is,
298, so,
p + c = 298

how much revenue in sales of chips? well, they're 0.40 per package,
so, whatever "p" is, the machine sold 0.40 * p or 0.4p in revenue

how much for the candies? well, they're 0.50 for each, so
whatever "c" is, 0.50 * c or 0.5c in revenue

we know, their total revenue yield was 139.80
so
0.4p + 0.5c = 139.8

now... do substitution from the 1st equation on the 2nd one, and solve for "p", or packages of chips

that is \begin{cases}
p+c=298\to c=\boxed{298-p}
\\ \quad \\
0.4p+0.5c=139.8
\\
\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\\
0.4p+0.5(\boxed{298-p})=139.8

\end{cases}\impliedby \textit{solve for "p"}
6 0
3 years ago
Which transformation will not produce a congruent figure?
Ivan

Answer:

Dilations

Step-by-step explanation:

They change the size of the object, so this transformation will not produce a congruent figure.

6 0
3 years ago
A parabola opening up or down has vertex (0, -2) and passes through (8, -18). Write its
madreJ [45]

Answer:

<u>f(x) = -1/4(x - 0)^2 - 2</u>

Step-by-step explanation:

vertex form:

f(x) = a(x - h)^2 + k

<em>1) put the vertex in the equation, ( (h, k) is the vertex)</em>

f(x) = a(x - 0)^2 - 2

<em>2) plug in the point (8, -18) to find the value of a</em>

-18 = a(8 - 0)^2 - 2

-18 = a(64) - 2

-16 = a(64)

-16/64 = a

-1/4 = a

<em>3) plug in the value of a into the equation</em>

<u>f(x) = -1/4(x - 0)^2 - 2</u>

5 0
2 years ago
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