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Iteru [2.4K]
3 years ago
15

X+y=180 x=10y+48 (With Steps Plz)

Mathematics
1 answer:
ladessa [460]3 years ago
5 0

Answer:

(168,12)

Step-by-step explanation:

Substitute x = 10y+48 in the first equation.

10y + 48 + y = 180 \\ 11y = 180 - 48 \\ 11y = 132 \\ y =  \frac{132}{11}  \\ y = 12

We have got the y-value. Our next goal is to find the x-value by <u>substituting</u><u> </u><u>y-value</u><u> </u><u>in</u><u> </u><u>any</u><u> </u><u>given</u><u> </u><u>equations</u><u>.</u><u />

For me, I will be substituting y = 12 in the first equation.

x  + 12 = 180 \\ x = 180 - 12 \\ x = 168

<u>Answer</u><u> </u><u>Check</u>

Substitute both x-value and y-value in both equations.

168 + 12 = 180 \\ 180 = 180

Our first equation is true for both values.

168 = 10(12) + 48 \\ 168 = 120 + 48 \\ 168 = 168

Our second equation is true for both values.

Thus, the answer is (168, 12)

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bagirrra123 [75]

Answer:

Biff's tree is 14 m off the ground and Rocco's tree is 7 m off the ground.

Step-by-step explanation:

Let the height of Biff's tree be represented by x, so that the height of Rocco's tree is \frac{x}{2}.

Draw a straight line from Rocco's point of view to a point t to the middle of Biff's tree. This line divides x into two equal parts, and the angle is divided into 35^{0} each.

By alternate angle property,

Tan  35^{0} = \frac{\frac{x}{2} }{10}

\frac{x}{2} = Tan  35^{0} × 10

  = 7.00021

⇒       x = 2 × 7.0021

            = 14. 0042

         x = 14

Therefore, Biff's tree is 14 m off the ground and Rocco's tree is 7 m off the ground.

5 0
3 years ago
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Determine the equation of a circle with its centre at the origin in the Cartesian plane and with a radius of 2√3 units​
mojhsa [17]

Answer:

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Step-by-step explanation:

For a circle with the center at the origin [(h,k) is (0,0)]

use the formula:

x^2 + y^2 = r^2

In this case r is 2sqroot3.

(2sqroot3)^2 is 12.

2•2•sqrt3•sqrt3

= 4•3

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So we get,

x^2 + y^2 = 12

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What do I plug into a calculator to find the value of 235 after a 5% increase?
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Answer:

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Step-by-step explanation:

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Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 81(x2 − y2)
slamgirl [31]
<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
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Step 2: Substitute:<span> 
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.

Add [2] and [3]:<span> 
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Substitute into [2]:<span> 
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<span>y=±<span>5/8</span></span>

</span>
</span>
3 0
4 years ago
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pychu [463]

Answer:

47

Step-by-step explanation:

Let's solve your equation step-by-step.

−4x−3(−44−23)=13

Step 1: Simplify both sides of the equation.

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Step 2: Subtract 201 from both sides.

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Step 3: Divide both sides by -4.

−4x

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=

−188

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x=47

3 0
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