First work out (5/2)³ by cubing both the numerator and denominator to give: 125/8
then work out (3/4)² by squaring both the numerator and denominator to give: 9/16
then divide 125/8 by 9/16
using the stay-change-flip method of division:
the first term stays the same, the divide becomes multiply and the second fraction is flipped upside down.
so:
125/8 x 16/9 =2000/72
then just divide 2000 by 72 to give: 27.78 to 2 d.p
therefore the greatest whole number than 27.78 is 27.
Answer:
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Step-by-step explanation:
Anything that is set to equal <em>x</em><em> </em>is what is known as an undefined <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>] because it is a <em>vertical line</em><em>.</em>
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Solution:
Distance between two points = √(3−4)^2+(−2−3)^2
= √(−1)^2+(−5)^2
= √1+25
= √26
= 5.099
Distance between points (4, 3) and (3, -2) is 5.099.
Answer:
............................
Step-by-step explanation:
You solve for the domain by setting the radicand less than or equal to 0 and solving for x. Dividing by a -x, we switch the sign so we have that the domain is less than or equal to 0, or all negative numbers. We know that it breaks every law in math to have a negative radicand with an even index, so if the domain is all negative values of x, taking a negative of a negative gives us a positive. The negative sign OUTSIDE the radical means you are flipping the graph upside down. So instead of having a range of y is greater than or equal to 0 as does the parent graph, you have flipped it upside down so it heads more negative in regards to the range. Therefore, the domain and the range both have the same sign, thee last choice from above.
