Answer:
Step-by-step explanation:
we have
----> equation A
-----> equation B
we know that
If equation A is the same of equation B, then the system of equations will have infinite solutions
Convert equation B in slope intercept form
Isolate the variable y
Multiply by 2 both sides to remove the fractions
Adds 6x both sides
-----> equation C (slope intercept form)
Equate equation A and equation C and solve for b
Answer:
.
Step-by-step explanation:
We have been given that a lumber yard has a scrap sheet of plywood that is 23 3/4 inches by 41 1/5 inches long.
Since plywood is in shape of rectangle, so to find the area of plywood we will multiply the length of plywood by its width.
Let us convert our mixed fractions into improper fractions.
Upon cancelling out greatest common factors we will get,
Now let us convert our answer into mixed fraction.
Therefore, the area of plywood is .
Answer:
46th term is 36.
Step-by-step explanation:
we need to subtract like this..
251-5=246,246-5=241.likewise the 46th term is 36
* Craig's answer is not reasonable because to add fractions the denominators must be the same.
** Total distance = 5/8 + 1/2 = 5/8 + 4/8 = 9/8 miles
*** Using the line number to prove the answer:
The line number that represents the problem is in the attached figure.
while the distance between 0 and 1 divided to 8 sections
to represent (5/8) count 5 sections from zero ⇒⇒⇒ point (a)
and to represent (1/2) it is the midpoint between 0 and 1 which mean it is 4 sections but it will be counted from point (a) so, adding 4 sections to point (a) the result will be the point (b)
So, counting from 0 to point (b) will give us 9 sections
and while one section represents (1/8)
So the total distance will be 9 * (1/8) = 9/8 which is agree with the result obtained before
Answer:
m = - 3
Step-by-step explanation:
a³ + 27 ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²), thus
a³ + 27
= a³ + 3³
= (a + 3)(a² - 3a + 9)
comparing a² - 3a + 9 to a² + ma + 9, then
m = - 3
