Answer:
if you divide both sides of -5x > 0 you get z > <em>0. </em>This is incorrect because if you choose a value from the possible solutions such as z=6 and substitute it into the original equation you get <em>-30</em> > 0, which is <em>not true</em>
I put the answers in bold
hope this helps!
Step-by-step explanation:
The scale factor is obviously 7, because the 28 divided by 4 equals 7.
This means that the larger octagon's perimeter will be 7 times the smaller octagon's perimeter.
So 34 * 7 = 238.
Explanation:
Regardless of the number of factors, the product will be negative if an odd number of factors are negative.
In the example, 3 of the factors are negative. 3 is an odd number so the product will be negative.
-2*-3*-1*1 = -6
_____
Of course, the product will be zero if any factor is zero, regardless of the signs of any other factors.
Answer:
Step-by-step explanation:
If it is a parallelogram the opposite sides will a have the same slope.
Using the diagram we see from the coordinates of A and B:
Slope of AB = (5 - -1)/(-1 - -5)
= 6/4
= 3/2.
In the same way
slope of CD = (2 - -4) / (1 - -3)
= 3/2.
So AB and CD can be shown to be parallel.
Similarly the lines BC and AD are parallel.
So the figure is a parallelogram
Finding the perimeter (counting the units between the points):
Perimeter = 2AB + 2BC
By Pythagoras:
AB = sqrt (6^2 + 4^2) = sqrt 52
BC = sqrt (3^2 + 2^2) = sqrt 13
So Perimeter = 2sqrt52 + 2sqrt13
= 4sqrt13 + 2 sqrt13
= 6sqrt13
or 21.63 unit^2 to 2 decimal places.
Area = sqrt52 * perpendicular distance between the lines AB and CD.
Step-by-step explanation:
To subtract fractions, find the LCD and then combine.
Exact Form:
−119
Decimal Form:
−1.¯2
Mixed Number Form:
−129
