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Alisiya [41]
3 years ago
6

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(0, 6) B(4,6) C(4,2) D(0,2)

Mathematics
2 answers:
Leto [7]3 years ago
8 0
Ignore the rest but that’s the answer

svetlana [45]3 years ago
6 0

Answer:

4 units.

Step-by-step explanation:

0 , 6  is 1st quadrant

4,   6 is same y line 4 above

4,   2 is same x line -4 at 2

0,   2   is same y line and has made a 4 x 4 square.

CDCDC, D line meaning CD line is 4

as 0 + 4 = 4 units

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A metallurgist has an alloy with 5% titanium and an alloy with 30% titanium. He needs 100 grams of an alloy with 15% titanium. H
andrey2020 [161]
Let us convert the percentages to decimal format first.. so 5% is just 5/100 or 0.05 and 15% is just 15/100 or 0.15

so hmmm, so, let's say it needs "x" amount and "y" amount of each respectively, so, whatever "x" and "y" are, they must add up to 100, and whatever their concentration is, must add up to what the mixture yields

thus

\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{5\% alloy}&x&0.05&0.05x\\
\textit{30\% alloy}&y&0.30&0.3y\\
-----&-----&-------&-------\\
mixture&100&0.15&15
\end{array}
\\\\\\
\begin{cases}
x+y=100\implies \boxed{y}=100-x\\
0.05x+0.3y=15\\
----------\\
0.5x+0.3\left( \boxed{100-x} \right)=15
\end{cases}

solve for "x"

what's "y"? well, y = 100 - x
4 0
3 years ago
Solve each quadratic equation. Show your work.<br><br><br> 14. (2x – 1)(x + 7) = 0
melisa1 [442]
<span>(2x – 1)(x + 7) = 0

2x-1=0
2x=1
x=1/2
x=0.5

x+7=0
x= -7
</span>
5 0
3 years ago
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