Which two number add up to 6 and multiply to 12

1 answer:

8 0

No two numbers add up to 6 and multiply up to 12. The only factors of 12 are:
1 and 12, 2 and 6, 3 and 4. None of these three pairs can add up to 6.

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Simplify the radical the square root of 81 d^6

Kaylis [27]

Can not be simplify

Step-by-step explanation:

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3 years ago

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What is the measure of XYZ, given that yz and xy are tangent to ?

Marta_Voda [28]

Answer:

D) 53 Degrees.

Step-by-step explanation:

Things we need to establish beforehand: We know that Lines OZ and OX are equal because they are both radii of the circle. We can make an Iscoceles traingle by drawing a line between ZX. We know angle YZO and angle YXO is a right angle because YZ and XY are tangent to the circle. The Arc angle is the same angle as angle ZOX.

1) Find angles OZX and OXZ. these will be 26.5, because 180-127 is 53, which is the sum of the two angles. the two angles are the same, so divide 53 by 2.

2) Find Angles XZY and ZXY. We know that YZO is a right angle, and both XZY and OZX make up this right angle so XZY + OZX = 90. OZX is 26.5, so 90-26.5=XZY. XZY = ZXY, so both angles equal 63.5.

3) Now that we have two angles of triangle XYZ, we can find angle XYZ. 180-(XZY+ZXY)=XYZ, so (180-(63.5+63.5)=53. Angle XYZ=53.

6 0

3 years ago

Evaluate the integral from 0 to 1/2 of xcospixdx

aleksklad [387]

$\bf \int\limits_{0}^{\frac{1}{2}}xcos(\underline{\pi x})\cdot dx\\
-----------------------------\\
u=\underline{\pi x}\implies \frac{du}{dx}=\pi \implies \frac{du}{\pi }=dx\\
-----------------------------\\
thus\implies \int\limits_{0}^{\frac{1}{2}}xcos(u)\cdot \cfrac{du}{\pi }
\\\\
\textit{wait a sec, we need the integrand in u-terms}\\
\textit{what the dickens is up with that "x"?}\qquad well\\
-----------------------------\\
u=\pi x\implies \frac{u}{\pi }=x\\
-----------------------------\\$ $\bf thus
\\\\
\int\limits_{0}^{\frac{1}{2}}\cfrac{u}{\pi }cos(u)\cdot \cfrac{du}{\pi }\implies 
\int\limits_{0}^{\frac{1}{2}}\cfrac{u}{\pi }\cdot \cfrac{cos(u)}{\pi }\cdot du\implies 
\cfrac{u}{\pi^2}\int\limits_{0}^{\frac{1}{2}}cos(u)\cdot du\\
-----------------------------\\
\textit{now, let us do the bounds}
\\\\
u\left( \frac{1}{2} \right)=\pi\left( \frac{1}{2} \right)\to \frac{\pi }{2}
\\\\
u\left( 0 \right)=\pi (0)\to 0\\
-----------------------------\\$ $\bf thus
\\\\
\cfrac{u}{\pi^2}\int\limits_{0}^{\frac{\pi }{2}}cos(u)\cdot du\implies \cfrac{u}{\pi^2}\cdot sin(u)\implies \left[ \cfrac{u\cdot sin(u)}{\pi^2} \right]_{0}^{\frac{\pi }{2}}
$

5 0

3 years ago

I don’t know this ppl I need help lol

Alexus [3.1K]

Answer:

Step-by-step explanation: