Answer:
Step-by-step explanation:
1) A perfect square is a whole number which is a product of a smaller whole number and itself. Examples of perfect squares are
4(2 × 2)
9(3 × 3)
16(4 × 4)
25(5 × 5)
36(6 × 6)
2) Square root of 4x² is 2x(product of square root of 4 and square root of x²)
3) square of 25 is 5
4) 4x² + 20x + 25
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 4
b = 20
c = 25
Therefore,
x = [- 20 ± √(20² - 4 × 4 × 25)]/2 × 4
x = [- 20 ± √(400 - 400)]/8
x = [- 20 ± 0]/8
x = - 20/8
x = - 2.5
parallel: g(x) = -5/3x + 1
perpendicular: h(x) = 3/5x - 5
neither: j(x) = 2x + 3
<span>Your Answer: D
Why....
You can make equations out of the information
Let L be Lin, G be Greg, and F be Fran
L = 4 + G ---"Lin sold 4 more shirts than Greg"
F = 3L ---"Fran sold 3 times as many shirts as Lin"
F + G + L = 51 ---"In total the three sold 51 shirts"
Use F + G + L = 51
Substitute the equations in for F and L (because you need to know the G) like this....
(3L) + G + (4+G) = 51
You still have a variable besides G in there... you can use the L= 4+G and substitute again so that there are only G's
( 3(4+G) ) + G + (4+G) = 51 ---- SIMPLIFY :D
( 12 + 3G ) + G + 4 + G = 51
12 + 3G + G + 4 + G = 51 ---Combine like terms
16 + 5G = 51 </span>
-4 is greater than - 10 because -4 is closer to 0 than -10 is
Step-by-step explanation:
the total surface area is the sum of the individual areas.
we have the ground area : a 6×6 square. = 36 cm²
and we have 4 equal triangles.
the area of a triangle is baseline × height / 2.
which is for each of these triangles
6 × 12 / 2 = 3 × 12 = 36 cm²
so, the total surface area of the pyramid is
36 + 4×36 = 5×36 = 180 cm²