Answer:
Option 2
Step-by-step explanation:
2 + ¾(t) > 10
¾(t) > 8
t > 32/3
t > 10 ⅔
Answer:
4d+24
Step-by-step explanation:
The distributive property says that 4(d+6)=4d+(4)(6)
which simplifies to 4d+24
(I hope that's what you needed, please lmk if you needed more than just simplifying.)
Answer:
15 cm
Step-by-step explanation:
The altitude is one leg of the right triangle formed by the altitude, half the base, and the triangle side. The Pythagorean theorem applies, so you have ...
... (17 cm)² = (altitude)² + (16 cm/2)²
... altitude = √(17² -8²) cm = √225 cm
... altitude = 15 cm
Answer:
The correct order is:
a
c
d
b
Step-by-step explanation:
First, let's write 1/x in a convenient way for us:
a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:
d) Observe that x is the quotient of two integers with the denominator nonzero.
And that is the definition of rational, then we end with:
b) Hence x is rational.
Which is what we wanted to get.
The lowest common denominator for 15 and 12 will get in this way
15=3*5
12 = 3*4
LCM will be 3*4*5=12*5=60
