Answer:
88
Step-by-step explanation:
Find the prime factorization of both 8 and 11.
8 → 4 × 2 → 2 × 2 × 2
11 → 11
Then, multiply each factor the greater number of times it occurs. Since no factors are duplicated between 8 and 11 (as in, 2 is not a factor of 11, nor is 11 a factor of 8), LCM will equal 2 × 2 × 2 × 11.
2 × 2 × 2 × 11 = 88, so the LCM is 88.
It's a little hard to explain without visuals. A video could be useful, though I can't put links here.
Answer: y = 4 and x = 1
Step-by-step explanation:
when y is 2, x is 0.5
when y is 4, x is 1
.(+ 2) .(+ 0.5)
.(+ 2) .(+ 0.5)
.(+ 2) .(+ 0.5)
.(+ 2) .(+ 0.5)
the rule is that y is 4 times larger than x
Answer: 20 cm
To solve this, use the Pythagorean Theorem, a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse of the right triangle.
**The Pythagorean Theorem only works for right triangles.**
Substitute in the values.
a² + b² = c²
12² + 16² = c²
Solve for c, the hypotenuse.
12² + 16² = c²
144 + 256 = c²
400 = c²
c = √400
c = 20
An arithmetic sequence takes the form
where
is the common difference between terms. You can solve for
in terms of any of the previous terms of the sequence:
for some integer
Continuing in this way, you know that the sequence can be defined explicitly in terms of the first term
Given that the 4th term is
and the 11th term is
, you have the following system of equations.
Solving this system for the two unknowns yields
and
.
So, the sequence is given explicitly by
Answer:
| -7.8. | = 7.8
Step-by-step explanation:
The symbol for absolute value is two straight lines surrounding the number or expression for which you wish to indicate absolute value.
