<span>Solve </span><span><span>x=<span><span>3y</span>+5</span></span>;<span><span>x−<span>4y</span></span>=3
</span></span><span><span>x=<span><span>3y</span>+5</span></span>;<span><span>x−<span>4y</span></span>=3</span></span>Step: Solve <span>x=<span><span>3y</span>+5</span></span>for x:Step: Substitute <span><span>3y</span>+5 </span>for x in <span><span><span>x−<span>4y</span></span>=3</span>:</span><span><span>x−<span>4y</span></span>=3</span><span><span><span><span>3y</span>+5</span>−<span>4y</span></span>=3</span><span><span><span>−y</span>+5</span>=3 </span>Simplify both sides of the equation<span><span><span><span>−y</span>+5</span>+<span>−5</span></span>=<span>3+<span>−5 </span></span></span>Add -5 to both sides<span><span>−y</span>=<span>−2</span></span><span><span><span>−y</span><span>−1</span></span>=<span><span>−2</span><span>−1 </span></span></span>Divide both sides by -1<span>y=2</span>Step: Substitute 2 for y in <span><span>x =<span><span>3y</span>+5</span></span>:</span><span>x=<span><span>3y</span>+5</span></span><span>x=<span><span><span>(3)</span><span>(2)</span></span>+5</span></span><span>x=11 </span>Simplify both sides of the equationAnswer:<span><span>x=<span><span>11<span> and </span></span>y</span></span>=<span>2</span></span>
If two solids are similar the ratio of the corresponding sides is called the linear scale factor while the ratio of the areas is called the area scale factor and the ratio of their volumes is the volume scale factor.
v.s.f = (l.s.f)³
in this case, the l.s.f = 5/15 = 1/3
therefore, the V.S.F = (1/3)³ = 1/27
Thus the volume of the larger prism = 60 ×27
= 1620 cm³
Answer:
(-1,-4) is the vertex
x = -1 is the equation of symmetry;
Step-by-step explanation:
See attached image.
Answer:
2(d-2)/(2d+1) or 1 - 5/(2d+1)
d can not be -½
Step-by-step explanation:
(d-3)/(2d+1) + (d-1)/(2d+1)
Lcm: 2d+1
(d-3+d-1)/(2d+1)
= (2d-4)/(2d+1)
= 2(d-2)/(2d+1)
If further simplification required:
= (2d-4)/(2d+1)
= (2d+1-5)/(2d+1)
= (2d+1)/(2d+1) - 5/(2d+1)
= 1 - 5/(2d+1)
2d+1 = 0
When d = -½
So d can not be -½ because when the denominator becomes 0, fraction becomes undefined
