Answer:
a) r→q
b) r→p
c) r→p
d) r→ p∧q
e) r→ p∨q
Step-by-step explanation:
Using logical connectives, as shown in the picture below, we can write all of the statements of the question.
p:"You get an A on the final exam"
q:"You do every exercise in this book"
r:"You get an A in this class"
a) r→q
b) r→p
c) r→p
d) r→ p∧q
e) r→ p∨q
Answer:
x=-6
×=1
Step-by-step explanation:
remove parentheses
connect like terms
change the signs
calculate the discriminant
simplify
Answer:
SA = 470 m²
volume = 494 m³
Step-by-step explanation:
<u>Individual areas</u>
Back = 4 x 19 = 76 m²
Top = 5 x 19 = 95 m²
sloped side = 5 x 19 = 95 m²
base = 8 x 19 = 152 m²
end = (4 x 5) + 1/2(3 x 4) = 26 m²
Total SA = 76 + 95 + 95 + 152 + (2 x 26) = 470 m²
<u>Volume</u>
volume = (4 x 5 x 19) + 1/2(3 x 4 x 19) = 494 m³
Answer:
D) Only (-1,9) is a solution.
Step-by-step explanation:
x+y =8
x^2 + y = 10
Lets check the first point (-1,9)
Put in x =-1 y =9
x+y =8
-1+9 = 8
8 =8
This works
x^2 + y = 10
(-1)^2 +9 =10
1+9 = 10
10 = 10
This works
Lets check the second point (-2,6)
Put in x =-2 y =6
x+y =8
-2+6 = 8
4=8
This does not work
We can stop now. (-2,6) cannot be a solution
First, you divide 4 by 2 before you subtract them by 5 using BODMAS, or BIDMAS.
4 ÷ 2 = 2
5 - 2 = 3
3 is your answer
