Answer:
see explanation
Step-by-step explanation:
consecutive even integers have a difference of 2 between them
for example 2, 4, 6 are 3 consecutive even integers
In general if we let the first integer be k then the next 2 integers are
k + 2 and k + 4
the sum of these equals 4 times the first integer, that is 4k, hence
k + k + 2 + k + 4 = 4k
3k + 6 = 4k ( subtract 3k from both sides )
6 = k
the 3 consecutive integers are
k = 6
k + 2 = 6 + 2 = 8
k + 4 = 6 + 4 = 10
that is 6, 8 and 10
note that sum = 6 + 8 + 10 = 24
and 4 × 6 = 24
confirming the sum of the 3 integers equals 4 times the first integer
Answer:
1.25 ft yarn
Step-by-step explanation:
125 / 100 = 1.25 ft
Hopefully, you remember that the hypotenuse in a right triangle<span> is the longest side, which is also directly across from the </span>90<span> degree angle. It turns out that in a </span>30-60-90 triangle<span>, you can find the measure of any of the three sides, simply by knowing the measure of at least one side in the </span>triangle<span>.</span>
The system of equations is
y = 3x - 4
y =(2/3)x + 1
The solution satisfies
3x - 4 = (2/3)x + 1
Answer:
From the graph, obtain
x lies between 2 and 3.
y lies between 2 and 3.
Answer:
4,16
Step-by-step explanation:
36 buttons = 12×12 square inches
1 button = 12×12÷36=4 square inches
4 buttons=4×4=16square inches
