Answer:
<span>B. 3 ft, 5 ft and 7 ft
</span>
Explanation:
In any triangle, the sum of any two sides must be greater that the third one.
Therefore, to know if the given sides represent a triangle or not, all what we will do is add the two short sides and compare the result to the largest one.
We would have 3 options:
sum of short sides > longest side ......> It is a triangle
sum of short sides < longest side ......> It is not a triangle
sum of short sides = longest sides ....> It is not a triangle
Now, for the given:
1- Option A:
sum of short sides = 3 + 6 = 9 ft which is equal to the longest side
This option is incorrect
2- Option B:
sum of short sides = 3 + 5 = 8 ft which is greater than the longest side
This option is correct
3- Option C:
sum of short sides = 3 + 6 = 9 ft which is less than the longest side
This option is incorrect
4- Option D:
sum of short sides = 3 + 9 = 12 ft which is less than the longest side
This option is incorrect
Based on the above, the only correct option is B.
Hope this helps :)
Answer:
infinite solutions
Step-by-step explanation:
Simplify 3x-x-53x−x−5 to 2x-52x−5.
2x-5=2(x+2)-92x−5=2(x+2)−9
2 Expand.
2x-5=2x+4-92x−5=2x+4−9
3 Simplify 2x+4-92x+4−9 to 2x-52x−5.
2x-5=2x-52x−5=2x−5
4 Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions
A <span>counterclockwise rotation of 270º about the origin is equivalent to a </span><span>clockwise rotation of 90º about the origin.
Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.
A clockwise rotation of </span><span>90º about the origin of a point in the first quadrant of the xy-plane will have its image in the fourth quadrant of the xy-plane. Thus the x-value of the image remains positive but the y-value of the image changes to negative.
Also the x-value and the y-value of the original figure is interchanged.
For example, given a point (a, b) in the first quadrant of the xy-plane, </span><span>a counterclockwise rotation of 270º about the origin which is equivalent to a <span>clockwise rotation of 90º about the origin will result in an image with the coordinate of (b, -a)</span>
Therefore, a </span><span>counterclockwise rotation of 270º about the origin </span><span>of the point (4, 5) will result in an image with the coordinate of (5, -4)</span> (option C)
You have to get 38 water bottles and a number of water bottles in each pack are 5, the cost is represented by C.