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The factored form of the equation that has the zeros 4 and -7 is y = ( x - 4)( x + 7 ).
<h3>What is the factored form of an equation that has the zeros or roots 4 and -7?</h3>
Roots are simply the points where the graph intercepts with the x-axis. ( y = 0 )
That is, y = 0 the roots
Given the roots of the equation;
Now, at x = 4,
x = 4
x - 4 = 0
y = ( x - 4)
Also, at x = -7,
x = -7
x - ( - 7 ) = 0
x + 7 = 0
y = ( x + 7 )
Hence; for the equation with the given roots; 4 and -7 will be;
y = ( x - 4)( x + 7 ).
The factored form of the equation that has the zeros 4 and -7 is y = ( x - 4)( x + 7 ).
Learn more about roots of quadratic equation here: brainly.com/question/26926523
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The perimeter of a given shape implies the <u>sum</u> of all its <u>sides</u>. While the area of a given shape is the <em>total value</em> of <u>space</u> it would <u>cover</u> on a 2-dimensional <em>plane</em>.
The perimeter of the shape is 104 cm.
The area of the shape is 640
.
The <u>perimeter</u> of a given shape implies the <u>sum</u> of all its length of <em>sides</em>., such that the<u> value</u> of each <em>individual side</em> is summed to a <em>total value</em>.
The area of a given shape is the <em>total value</em> of space it would <u>cover</u> on a 2-dimensional <u>plane</u>. The area of <u>shapes</u> depends on the <em>type</em> of <u>shape</u>.
In the given question, the given <u>shape</u> has 12 <em>sides</em>. Some of these <em>sides</em> can <u>sum</u> up to a given <u>length</u> as shown in the diagram.
So that;
perimeter = 2 + 32 + 10 + 10 + 2 + 32 + 8 + 8
= 104 cm
Thus, the <u>perimeter</u> of the shape is 104 cm
ii. The <em>area </em>of the shape = length x width
= 32 x 20
= 640 
Therefore, the area of the given shape is 640
.
for more clarifications on the perimeter and area of a plane shape, visit: brainly.com/question/22909518
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There are 6 faces on each dice and the total possible combinations possible = 6*6 = 36 combinations.
Of those 36 combinations, the combinations of sum less than 6 are:
1&1 2&1 3&1 4&1
1&2 2&2 3&2
1&3 2&3
1&4
Thus, 10/36 :-)