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3 years ago

5x - 2y = 3 -5x + 4y = 9 Solve the system of equations.

1 answer:

6 0

5x - 2y = 3
-5x + 4y = 9
_________
2y =12
2y/2= 12/2
y = 6

5x - 2(6) = 3
5x -12 = 3
5x -12+12 = 3+12
5x = 15
5x/5 = 15/5
x = 3

Check
-5(3) + 4(6) = 9
-15+24=9
9=9

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2 years ago

Ehich of thr following expressions has a Simplified value of 3A -2?

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2 years ago

Does anyone know how to do this?

sineoko [7]

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$\boxed{\tt x=\sqrt{85} }$

Step-by-step explanation:

When making a right triangle with 2 points, the distance is the hypotenuse which can be represent as "x"

To find the distance we can use the Pythagorean theorem.

$\boxed{{\tt a^2+b^2=c^2}}$

→ $\tt a=9$

→ $\tt b=2$

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Let's Plug in the side lengths:

$\tt 9^2+2^2=x^2$

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2 years ago

∫c x sin y ds, C is the line segment from (0, 1) to (3, 5)

Mnenie [13.5K]

Parameterize the line segment $C$ by

$\mathbf r(t)=\langle x(t),y(t)\rangle=(1-t)\langle0,1\rangle+t\langle3,5\rangle=\langle3t,1+4t\rangle$

where $t\in[0,1]$ . Then

$\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt$
$\mathrm ds=\|\langle3,4\rangle\|\,\mathrm dt$
$\mathrm ds=5\,\mathrm dt$

So the integral is

$\displaystyle\int_Cx\sin y\,\mathrm ds=5\int_0^1x(t)\sin y(t)\,\mathrm dt$
$=\displaystyle5\int_0^13t\sin(1+4t)\,\mathrm dt$
$=\dfrac{15}{16}(\sin5-\sin-4\cos5)\approx-2.7516$

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2 years ago

Find the product (3a4+4)2

asambeis [7]

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The problem is an example of a notable product: "the sum multiplied by the diference is equal to the difference of squares", that is to say:

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By applying this to our question, we obtain that:

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3 years ago

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