A cube number is an integer which is a third power of another integer.
A triangular number is a number that counts the objects that can form equilateral triangle (sorry, I cribbed it a little from Wikipedia; it's difficult to explain). Just look at the picture.
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Given:
To find:
The value of x.
Solution:
We have,
To find the value of x, we need to isolate x on one side.
Subtract 2b from both sides.
Divide both sides by -3. On multiplying or dividing an inequality by a negative number, we need to change the sign of inequality.
The required inequality for x is .
Therefore, the correct option is A.
We are given the expression
5⁹ x 5³
We can solve this using the rule of exponents which is
a^n x a^m = a^(a + m)
Therefore, the answer is
to keep the base and add the exponents
5⁵⁺³ = 5⁸<span />
Answer:
51.1 ≈ r
Step-by-step explanation:
"A bicycle wheel travels 321 in for each revolution"- means that 321 is the circumference of the wheel that is a circle.
C = 2· π· r
What is the radius of the wheel ?
321 = 2· π· r, divide both sides of the equation by 2 π
(321/2·π) = r , use calculator, solve and round the answer
51.1 ≈ r
The standard form for the equation of a circle is :
<span><span><span> (x−h)^</span>2</span>+<span><span>(y−k)^</span>2</span>=<span>r2</span></span><span> ----------- EQ(1)
</span><span> where </span><span>handk</span><span> are the </span><span>x and y</span><span> coordinates of the center of the circle and </span>r<span> is the radius.
</span> The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (−10,1)and(−8,5) is :
((−10+(−8))/2,(1+5)/2)=(−9,3)
So the point (−9,3) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(−10−(−9))^2+(1−3)^2=1+4=5
⇒r=√5
Subtituting h=−9, k=3 and r=√5 into EQ(1) gives :
(x+9)^2+(y−3)^2=5
