(x,y)
sub points to see if we get true statemtn
(2,12)
x=2 and y=12
12-5=5(2)
7=10
false
no, (2,12) is not a point
(-2,-5)
x=-2
y=-5
-5-5=5(-2)
-10=-10
true
(-2,-5) is a soltuion
(-2,-5) is the only solution given that works
Answer:
√446 ≈ 21.12 cm
Step-by-step explanation:
The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:
d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²
d = √446 cm ≈ 21.12 cm
The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.
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<em>Additional comment</em>
The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.
A quarter of the number would be 1/4 +x
The only true statement is <em>"the orange 3 on the right is 1/10 of the value of the blue 3 on the left"</em>
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This question bothers on place values.
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Given the decimal value 89.033, the place value of the blue 3 on the left is the hundredth place (1/100) while the place value of the orange 3 is in the thousandth place(1/1000).
We need to<u> check which of the statement is correct. </u>
For the first option, the blue 3 on the left is 300 times the value of the orange 3 on the right;
Since 0.01≠0.3, hence the first option is wrong
For the second option, the blue 3 on the left is 100 times the value of the orange 3 on the right;
0.01≠0.1, hence the second option is wrong.
The blue 3 on the left is equivalent to the orange 3 on the right is also wrong since they are positioned in a different place
The orange 3 on the right is 1/10 of the value of the blue 3 on the left, is expressed as;
Hence the only true statement is <em>"the orange 3 on the right is 1/10 of the value of the blue 3 on the left"</em>
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Learn more on place values here: brainly.com/question/627658
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