Answer:
parallel: -1/2
perpendicular: 2
Step-by-step explanation:
lines that are parallel have the same slope because they never intersect
lines that perpendicular, have the opposite reciprocal slope.
y = mx + b
where m is the slope
y = -1/2x + 6
-1/2 is the slope.
the slope in the equation given: -1/2
the slope parallel to the line given : -1/2
the slope perpendicular : opposite reciprocal, so the opposite of -1/2 is 1/2 and the reciprocal of 1/2 is 2.
There are three options which are the square roots of 100, and those are C. -10, D. 10, and F. |10|
C: (-10)^2 = -10 * -10 = 100 (- * - = +)
D: 10 * 10 = 100
F: |10| = 10, and 10 * 10 = 100 (these brackets make a negative number positive, and a positive number stays positive)
Answer:

is the required polynomial with degree 3 and p ( 7 ) = 0
Step-by-step explanation:
Given:
p ( 7 ) = 0
To Find:
p ( x ) = ?
Solution:
Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.
Therefore zero's of the polynomial is seven i.e 7
Degree : Highest raise to power in the polynomial is the degree of the polynomial
We have the identity,

Take a = x
b = 7
Substitute in the identity we get

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.
p ( 7 ) = 7³ - 21×7² + 147×7 - 7³
p ( 7 ) = 0

Answer:
60
Step-by-step explanation:
We can easily solve this by finding out how many 60 seconds are in 10 minutes, and then dividing by 10.
To do that, multiply 60 seconds by 10, since there are 60 seconds in each minute.
60*10=600. There are 600 seconds in ten minutes.
Now, divide by 10.
600/10=60
There are 60 intervals of 10 seconds in 10 minutes.
Hope this helps!
The following dataset represents the math test scores for a class of 20 students. 90, 85, 95, 100, 100, 90, 100, 65, 100, 85, 80
neonofarm [45]
Answer:
yes
Step-by-step explanation:
The mode is the measure of the central tendency for the given data set. The mode represents the highest frequency of the number
Since in the given data set as we can see that the 100 would be appeared 6 times
So this represent that the mode is 100
So here the mode would be the good measure