Since the triangle is a right-angle triangle,
Using Pythagoras Theorem,
x^2 + x^2 = 8^2
2(x^2) = 64
x^2 = 32
x = √32 or - (√32)
However, since x is a positive value,
x = √32
Sorry, I don't have a calculator with me right now, but if you want the exact value of x expressed to 3 sig. fig., you can type √32 into a calculator and find out
Answer:
a.p→¬q
b.¬p→¬q
c.q→¬p
Step-by-step explanation:
p:You drive over 65 miles per hour
¬p: <em>You do not drive over 65 miles per hour</em>
q:You get a speeding ticket
¬q:<em>You do not get a speeding ticket</em>
(a) You drive over 65 miles per hour, but <em>you do not get a speeding ticket</em>
the first sentence is p and because the consequence is the opposite of q then is no q
p→¬q
(b) If you do not drive over 65 miles per hour, then you will not get a speeding ticket
The first sentence is the opposite of p (¬p), and the second sentence is the opposite of q
¬p→¬q
(c) You get a speeding ticket, but you did not drive over 65 miles per hour.
The first one is q, and the second one is the opposite of p so
q→¬p
Answer:
the domain is equal to all real numbers greater than or equal to 0
Step-by-step explanation:
The domain is all the numbers in which the graph reaches in regards to the x axis
We can see from the graph that it starts at 0 and then moves right
THis means that the domain is equal to all real numbers greater than or equal to 0
You can always treat such examples as an equation;
(90+96+86+92+X)/5=90
X is the desired score, 5 is the number of tests. As you can see, it is the usual equation for getting the mean value which the sum of the values over their number.
now; 90+96+86+92+X=90*5
X=90*5-(90+96+86+92)
X=86.
Hope this helps.
10) 7(2m+3)
11) 3(3r-1)
12) 2p(5q+4)