Arlan states, "If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a rhombus." Decide if his statem
2 answers:
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Answer:
y = (5/2)x + 20
Step-by-step explanation:
Since the bus and train are both at the station at time 0, the y-intercept for the new equation is 20. That is one point on the new graph: (0,20) The question said that the train travels faster, that means it spends less time getting to the next station. The existing graph shows the bus got to the next station in 10 minutes, so maybe the train got there in 8 minutes. So another point on the graph is (8,0) We can use a slope formula to calculate the slope of a new line. Or just count squares on the graph (se image) to find the slope. Slope tells how steep a line is, whether the line is going up or down, but also the slope is like directions how to get from one point to another point on the line.
All you need to write an equation is the slope, m and the y-intercept, b and fill those two numbers into the formula y=mx+b Here slope is 5/2 and y-intercept is 20. So you get
y=(5/2)x +20
Answer:
a) 3/5 < 4/5
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) <em>or</em>
Step-by-step explanation:
a) 3/5 < 4/5
Flip the sign and the placement of the fraction so 3/5 is less then 4/5.
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) We need to change the denominators to a common denominator to compare the size of the two fractions:
×
=
×
=
The common denominators of the two fractions is 30. Comparing the two fractions:
<em>or</em>
so we get: <em>or</em>
☆What is the prime factorization of 108?
To find the prime factorization, first divide 108 by 2.
You have 2 numbers: 54 and 2. 2 is a prime number and 54 isn't. Divide 54 by 2 until every factor of 54 is prime.
★ Prime number collection: 2
Add 2 to the "prime number collection". Divide 27 by factors until every factor you find is prime.
★ Prime number collection: 2, 2
Add 3 to the "prime number collection". Divide 9 by a factor of it to find more prime numbers.
★ Prime number collection: 2, 2, 3
The two 3's are prime. No more dividing! Add those to the "prime number collection".
★ Prime number collection: 2, 2, 3, 3, 3
Multiply all the numbers in your "prime number collection".