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zavuch27 [327]
3 years ago
10

Solve the following systems of equations. 2= 2y + 5 | 3y - 3x = -12

Mathematics
1 answer:
ivanzaharov [21]3 years ago
7 0

Answer:

x=5/2, y=-3/2. (5/2, -3/2).

Step-by-step explanation:

2=2y+5

3y-3x=-12

--------------

2-5=2y

2y=-3

y=-3/2

3(-3/2)-3x=-12

-9/2-3x=-12

3x=-9/2-(-12)

3x=-9/2+12

3x=-9/2+24/2

3x=15/2

x=(15/2)/3

x=(15/2)(1/3)

x=15/6=5/2

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The base of a parallelogram is four times its height. If the area of the parallelogram is 324 cm2, find the base and height.
madam [21]
A = bh
b = 4h
A = 324

324 = 4h * h
324 = 4h^2
324/4 = h^2
81 = h^2
sqrt 81 = h
9 = h

b = 4h
b = 4(9)
b = 36

so the height (h) = 9 cm and the base (b) = 36 cm
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3 years ago
A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet to the nearest whole unit what is
RideAnS [48]
Check the picture below.

\bf \textit{total surface area of a cone}\\\\
SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~
\begin{cases}
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h=height\\
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r=17\\
\sqrt{r^2+h^2}=12
\end{cases}
\\\\\\
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3 years ago
6.20
Irina-Kira [14]
The statement-10 ⁢-43
7 0
3 years ago
How would you represent the expression 36 – 3(4) on the number line shown?
zaharov [31]

Answer:

D. Begin at 36 and move four units to the left three times

Step-by-step explanation:

The given expression is 36 - 3(4)

It means "it starts with 36 less 3 times 4."

Here "less" means we have to move to the left

Therefore, the answer is "D. Begin at 36 and move four units to the left three times"

Thank you.

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Two boys are running track. They decide to start in the northwest corner and go opposite directions around the rectangular track
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= <u>187.3 yards</u>

Step-by-step explanation:

The set-up will represent a triangle whereby the :

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{a}^{2}  =  {c}^{2}  -  {b}^{2}  \\ {a}^{2} =  {240}^{2}  -  {150}^{2}  \\ {a}^{2} = 57600 - 22500 \\  \sqrt{ {a}^{2} }  =  \sqrt{35100}  \\ a = 187.3yards \: (rounded \: off \: to \: 1dp)

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