When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. This gives you such reflection rule:
From the diagram:
L(3,1), M(4,3), N(5,3) and P(4,1).
Using the reflection rule, you can find coordinates of image points:
L'(1,3), M'(3,4), N'(3,5) and P'(1,4).
As you can see, these are coordinates of vertices of the figure C.
Answer: correct choice is option 3 - figure C.
Answer:
x=60
Step-by-step explanation:
Pick whichever equation where x=60 is true. I cannot see the other equations
F - for simplification - we assume the orbits are circular (which they approximately are), we have a centrifugal force of <span><span>m<span><span>v2</span>R</span></span><span>m<span><span>v2</span>R</span></span></span><span>, where </span>m<span> is the mass of the planet, </span>v<span> its speed, and </span>R<span> the distance from the (center of the) sun. This force must be equal to the centripetal force, which comes from the sun's attraction, and it is </span><span><span>mG<span>M<span>R2</span></span></span><span>mG<span>M<span>R2</span></span></span></span><span>. Here, </span>M<span> is the mass of the sun, and </span>G<span> is a constant. We don't care about the actual numbers, so we write </span>C<span> be the product </span>MG<span> and observe that it is a constant independent of the orbit. These forces have to cancel out, so we have </span><span><span><span>v2</span>R=C<span>R<span>−2</span></span></span><span><span>v2</span>R=C<span>R<span>−2</span></span></span></span><span>, or </span><span><span><span>v2</span>=C<span>R<span>−3</span></span></span><span><span>v2</span>=C<span>R<span>−3</span></span></span></span><span>, so we have that the speed is proportional to </span><span><span>R<span><span>−3</span>2</span></span><span>R<span><span>−3</span>2</span></span></span><span>. Which means that if you decrease the distance to the sun, the speed goes up.</span>
Answer:
Step-by-step explanation:
hello :
x²-3x-10=0 means : (x-5)(x+2)=0
x-5=0 or x+2=0
conclusion two solutions : 5 and -2