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balu736 [363]
3 years ago
5

3x + 4y = 14 x = 2y - 12 cordanit plane

Mathematics
1 answer:
BabaBlast [244]3 years ago
8 0

Answer:

(- 2, 5 )

Step-by-step explanation:

Given the 2 equations

3x + 4y = 14 → (1)

x = 2y - 12 → (2)

Substitute x = 2y - 12 into (1)

3(2y - 12) + 4y = 14 ← distribute and simplify left side

6y - 36 + 4y = 14

10y - 36 = 14 ( add 36 to both sides )

10y = 50 ( divide both sides by 10 )

y = 5

Substitute y = 5 into (2) for corresponding value of x

x = 2(5) - 12 = 10 - 12 = - 2

Solution is (- 2, 5 )

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3 years ago
The denarius was a unit of currency in ancient Rome. Suppose it costs the Roman government 10 denarii per day to support 4 legio
aleksandrvk [35]

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The system cannot be solved by a unique cost for each soldier, because has infinite solutions

Step-by-step explanation:

Let

x-------> the cost of a legionary per day

y-------> the cost of an archer per day

we know that

4x+4y=10 ------> equation A

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2(2x+2y)=2*5 -------> 4x+4y=10

so

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6 0
4 years ago
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horrorfan [7]

The measure of the arc WT in the circle is 51 degrees.

<h3>How to find the measure of an arc when tangent intersect?</h3>

The measure of the angle formed by the intersection of two tangents outside a circle is half the positive difference of the measure of the intercepted arc.

Therefore,

m∠RPS = arc RS - arc WT / 2

m∠RPS = 35°

arc RS = 121°

arc WT = ?

35 = 121 - x  / 2

cross multiply

70 = 121 - x

70 - 121 = -x

x = 51°

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arc WT = 51°

learn more on tangent here: brainly.com/question/16038958

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2 years ago
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7 0
4 years ago
I need help answer and solving problem his This is a practice problem from my trigonometry prep guide
Alisiya [41]

We have the following diagram

First, we find the distance from Corey to the tree (x). We use the trigonometric tangent identity:

\begin{gathered} \tan 68=\frac{opposite}{adjacent} \\ \tan 68=\frac{80}{x} \end{gathered}

And solve for x:

x=\frac{80}{\tan 68}=32.32

So, x = 32.32 ft

Now Corey moves back to watch the very same tree at an elevation angle of 41°. The tree has the same height, we find y:

\begin{gathered} \tan 41=\frac{80}{y} \\ y=\frac{80}{\tan 41} \\ y=92.03 \end{gathered}

This is y = 92.03 ft

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92.03-32.32=59.71

Answer: 59.71 ft

5 0
1 year ago
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