Answer:
x = 1 1/4
Step-by-step explanation:
sqrt( 7x+2) = sqrt(3x+7)
Square each side
(sqrt( 7x+2))^2 = (sqrt(3x+7))^2
7x+2 = 3x+7
Subtract 3x from each side
7x-3x +2 = 3x+7-3x
4x+2 = 7
Subtract 2 from each side
4x+2-2 = 7-2
4x = 5
Divide by 4
4x/4 = 5/4
x = 1 1/4
Check for extraneous solution
sqrt( 7*5/4+2) = sqrt(3*5/4+7)
sqrt( 35/4 + 8/4) = sqrt(15/4+28/4)
sqrt( 43/4) = sqrt(43/4)
Solution is valid
Answer:
Step-by-step explanation:
The first term is simply a(1), and is 5.
The fourth term is a(4), and is 5 + (1/6)(4-1), or 5 3/6 or 5 1/2.
The tenth term is a(10), and is 5 + (1/6)(10 - 1), or 5 + 3/2, or 6 1/2.
Answer:
Equilateral triangles, squares and regular hexagons are the only regular polygons that will tessellate. Therefore, there are only three regular tessellations.
Step-by-step explanation:
Equations of straight lines are in the form y = mx + c (m and c are numbers). m is the gradient of the line and c is the y-intercept (where the graph crosses the y-axis).
38.5 / 1.25 = 30.8 or 77/2 divide by 5/4 = 154/5 = 30.8
so, the unit rate is 30.8
