1) Rational because the square root of 16 is 4 and 4 times 4/7 is a rational number (16/7)
2) Irrational because square root of 684 is irrational C
3) The square root of a is irrational so the answer is irrational. The square root of c is rational so the answer is rational.
4) Jacob is wrong because the square root of 5/7 is irrational so the answer to the problem is irrational.
Answer:
Step-by-step explanation:
im pretty sure it is 768/187.5 = about 4
because you are taking the highest number and putting it over the lowest number
<h3>
Answer: 2 < x < 7</h3>
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Explanation:
The 85 degree angle is smaller than the 90 degree angle (aka right angle). That must mean 5x-10 is smaller than 25
At the same time, 5x-10 must be larger than 0 to avoid having a 0 length or negative length.
So overall we can say 0 < 5x-10 < 25
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Let's isolate x
0 < 5x-10 < 25
0+10 < 5x-10+10 < 25+10 ...... adding 10 to all sides
10 < 5x < 35
10/5 < 5x/5 < 35/5 .... dividing all sides by 5
2 < x < 7
This says that x is between 2 and 7, but we cannot have x equal either endpoint.
The lines are: B) Perpendicular
Step-by-step explanation:
we have to convert both lines in slope-intercept form to find slopes
So,
Let m1 be the slope of first line
For the second line:
Let m2 be the slope of line 2
So,
If the lines are parallel, their slopes are equal
If the lines are perpendicular, product of their slopes is -1
We can see that
Hence,
The lines are: B) Perpendicular
Keywords: Slopes, Parallel lines
Learn more about slopes of lines at:
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