Answer:
m > -5
Step-by-step explanation:
Divide your inequality by the coefficient of m, which is -3. Doing that requires you reverse the comparison symbol:
(-3m)/(-3) > (15)/(-3)
m > -5
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The comparison symbol is reversed whenever an inequality is multiplie or divided by a negative number. You might be able to see why when you look at the relation between a couple of integers:
-2 < -1
2 > 1 . . . . . . multiply the above by -1
Multiplying by a negative number effectively reflects the comparison across the center of the number line. As we know from looking in a mirror; reflection reverses left and right, so numbers that were farther to the right (more positive) are now farther to the left (more negative).
The area ratio is the square of the linear dimension ratio. So if the merry-go-round base is circular, the area contains the square of the radius. If a polygon, the base can be divided into triangles. The area of each triangle involves the product of the base length and the height, so since both have the same change of length, the product will square the scaling ratio.
Let’s say the ratio of corresponding lengths is x:1 then the ratio of the base areas is x²:1.
The question doesn’t provide any figures.
Let’s put some in as an example. Let the actual merry-go-round be circular with a diameter of 20 feet, while the model is one foot in diameter. So the ratio of the actual ride and it’s model is 20:1. The area of the base of the actual ride is 100π sq ft. The area of the base of the model is π/4 sq ft. We expect the ratio of these areas to be 20²=400. 100π/(π/4)=400.
Answer:
There are 3 main types of algebraic expressions which include: Monomial Expression. Binomial Expression. Polynomial Expression.
The answer for the question in the picture is in option B.
The square root of 64 is 8 (because 8*8=64), and the square root of x^16 is x^8 (because x^8 times x^8 is x^16). Put these together to get the answer: 8x^8
Answer:
As you can see, x is a variable in both 3x 2 and 7x, and the variable x is multiplied by a number. In the first term, 3x 2, 3 is multiplied by the variable, so 3 is a coefficient. With 7x, 7 is multiplied by the variable. 7 is therefore a coefficient.
