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4 years ago

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Solve system by substitution x-5y=18 2×+6y=4

1 answer:

vfiekz [6]4 years ago

7 0

Algebra Calculator
I will solve your equations by substitution.<span><span><span>12y</span>=4</span>;<span><span>x−<span>5y</span></span>=18</span></span>
Step: Solve<span><span> 12y</span>=4</span>for y:<span><span><span>12y/</span>12</span>=<span>4/12</span></span>(Divide both sides by 12)<span>y=<span>13</span></span>Step: Substitute <span>1/3 </span>for y in<span><span><span> x−<span>5y</span></span>=18</span>:</span><span><span>
</span></span><span><span>x−<span>5y</span></span>=18</span><span><span>
</span></span><span><span>x−<span>5<span>(<span>1/3</span>)</span></span></span>=18</span><span><span>
</span></span><span><span>x+<span><span>−5/</span>3</span></span>=18</span>(Simplify both sides of the equation)<span><span><span>
</span></span></span><span><span><span>x+<span><span>−5</span>/3</span></span>+<span>5/3</span></span>=<span>18+<span>5/3</span></span></span>(Add 5/3 to both sides)<span>
</span><span>x=<span>59/3</span></span>
Answer:<span><span>x=<span><span><span>59/3</span> and </span>y</span></span>=<span>1/<span>3</span></span></span>

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2r2 + 3s3 − r2 + 4t2 − r2 if r = −2, s = −3, and t = 5.

Elza [17]

First, simplify the expression $2r^2 + 3s^3 - r^2 + 4t^2 - r^2.$ Here you have three terms with $r^2,$ group them in the following way:

$2r^2 + 3s^3 - r^2 + 4t^2 - r^2=2r^2-r^2-r^2+3s^3+4t^2=(2r^2-r^2-r^2)+3s^3+4t^2=$

$=r^2(2-1-1)+3s^3+4t^2=3s^3+4t^2.$

Then substitute s=-3 and t=5:

$3s^3+4t^2=3\cdot (-3)^3+4\cdot 5^2=3\cdot (-27)+4\cdot 25=-81+100=19.$

Answer: 19.

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3 years ago

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Please help me answer thanks.

Dmitry_Shevchenko [17]

Answer:

see explanation

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, thus

160 = k × 4³ = 64k ( divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of variation

(a)

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

(b)

When M = 540, then

540 = 2.5r³ ( divide both sides by 2.5 )_

216 = r³ ( take the cube root of both sides )

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4 years ago

What is the formula that relates circumference and radius?

jonny [76]

Answer:

C = 2πr

Step-by-step explanation:

The circumference of a circle is calculated by the formula here,

C is the circumference of the circle.

r is the radius of the circle.

π is 22/7 or 3.14.

In the given options π is not missing.

Therefore the formula that relates circumference and radius is C = 2πr.

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Write an equation for the line shown on the graph.

Irina18 [472]

Answer:

$\large\boxed{y=\dfrac{2}{3}x+1}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept → (0, </em><em>b</em><em>)</em>

<em />

The fromual of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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