Answer:
x=4
Step-by-step explanation:
checked my answer its right
Answer:

Step-by-step explanation:
Set builder notation-
It is a notation for representing a set by enumerating its elements and stating the properties that its members must satisfy.
The given set is,

This set is comprised of all negative integers. So symbol Z should be used in this case.
The set builder notation for this set is,

Answer:
B: 24(0.3)
Step-by-step explanation:
24 * 0.3 = 7.2
So Mandy spent $7.20 on arts and crafts.
24 - 7.2 = $16.80 remaining.
So this is the final answer is 24 * 0.3
Answer:

Step-by-step explanation:
Since we know we only have 640 feet of fence available, we know that L + W + L = 640,
2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L
Remember, the area of a rectangle is equal to the product of its width and length, therefore,
Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.
recall,
Since our function is A(L)=640L-2L², we get
plug in the value of a and b into the first formula:


hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>
and we're done!
A triangle will be produced from the intersection of the vertical plane and pyramid. The correct options are triangles and trapezoid.
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
Given that a vertical plane passes through a pyramid that has a horizontal base. Therefore, when the vertical plane and the pyramid meets or intersect the two dimensional figure that will be produced when the two intersect is triangle. It can also be trapezoid if the vertical plane does not intersect exactly in mid of the pyramid.
Hence, a triangle or a trapezoid will be produced from the intersection of the vertical plane and pyramid.
Learn more about Triangle here:
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