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Nat2105 [25]
4 years ago
12

Plz Help me 50 points to who ever answers firstt

Mathematics
1 answer:
artcher [175]4 years ago
4 0

Answer:

\boxed{\bold{57 \ Ft.}}

Step-by-step explanation:

  • Assignment: Find area of rectangle without triangle

Area of whole rectangle including triangle: 66 Feet

(6 * 11 = 66)

Area of Triangle: \bold{\frac{1}{2}Base \ \cdot \ Height }

Height: 3

Base: 6 (Solved by using this: (11 - 2 + 3))

Half of base: 3

3 * 3 = 9

66 - 9 = 57

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Solve the system of equations.
emmainna [20.7K]

x = \frac{ 419 }{ 113 } ~,~y = -\frac{ 208 }{ 113 } ~,~z = \frac{ 21 }{ 113 }

<h2>Explanation:</h2>

We have the following system of three linear equations:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\5~ x&+~~8~ y&+~~~~ z&~=~4\\4~ x&+~~5~ y&+~~2~ z&~=~6\end{array}

Let's use elimination method in order to get the solution of this system of equation, so let's solve this step by step.

Step 1: Multiply first equation by -5/2 and add the result to the second equation. So we get:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\&-~~~2~ y&-~~~79~ z&~=~-11\\4~ x&+~~5~ y&+~~2~ z&~=~6\end{array}

Step 2: Multiply first equation by −2 and add the result to the third equation. So we get:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\&-~~~2~ y&-~~~79~ z&~=~-11\\&-~~~3~ y&-~~~62~ z&~=~-6\end{array}

Step 3: Multiply second equation by −32 and add the result to the third equation. So we get:

\begin{array}{ cccc }2~ x&+~~4~ y&+~~32~ z&~=~6\\&-~~~2~ y&-~~~79~ z&~=~-11\\&&+~~\frac{ 113 }{ 2 }~ z&~=~\frac{ 21 }{ 2 }\end{array}

Step 4: solve for z.

\begin{aligned}       \frac{ 113 }{ 2 } ~ z & = \frac{ 21 }{ 2 } \\      z & = \frac{ 21 }{ 113 }       \end{aligned}

Step 5: solve for y.

\begin{aligned}-2y-79z &= -11\\-2y-79\cdot \frac{ 21 }{ 113 } &= -11\\y &= -\frac{ 208 }{ 113 } \end{aligned}

Step 6: solve for x by substituting y=-\frac{208}{113} and z = \frac{21}{113} into the first equation:

2x+4(-\frac{208}{113})+32(\frac{21}{113})=6 \\ \\ 2x-\frac{832}{113}+\frac{672}{113}=6 \\ \\ 2x=6+\frac{832}{113}-\frac{672}{113} \\ \\ 2x=\frac{838}{113} \\ \\ x=\frac{319}{113}

Finally:

x = \frac{ 419 }{ 113 } ~,~y = -\frac{ 208 }{ 113 } ~,~z = \frac{ 21 }{ 113 }

<h2>Learn more:</h2>

Solving System of Equations: brainly.com/question/13121177

#LearnWithBrainly

7 0
4 years ago
25(3 + a) = 0.5 a=__​
ANEK [815]

Answer:

CSVDWVDWVD

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Hat is the value of the expression –5x4 when x = –2?
sleet_krkn [62]

\bold{Hey\ there!}

\bold{Assuming,\ you\ meant: -5(-2)^4}

  • \bold{If\ so\ follow\ these\ steps\downarrow}
  • \bold{(-2)^4=16}
  • \bold{(-5)\times 16=-80}
  • \boxed{\boxed{\bold {Thus,\ your\ answer\ is: -80}}}\checkmark

\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!}

~\frak{LoveYourselfFirst:)}

7 0
3 years ago
Plzz help will give Brainlest!!
Trava [24]
The second option would be parallel
5 0
3 years ago
The San Francisco Giants won 39 more games than the St. Louis
nalin [4]
Answer: B
Explanation: “Giants won 39 more games than the Cardinals”
so Cardinals+39= Giants wins (101)
6 0
3 years ago
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