Answer:
Step-by-step explanation:
Let as us 45 as the number we should use to get the square root in the simplest form
And then 144
The square root of a number in is simplest form means to get the number inside the radical as low as possible
Answer:
The slope is 2/3 and the function is y=2/3x which is a direct variation function.
Step-by-step explanation:
To find the slope of a line between two points, we use the equation
m = (y2-y1)/ (x2-x1)
where (x1,y1) and (x2,y2) are the two points
m= (4-2)/(6-3)
= 2/3
The slope of the line is 2/3
The equation of the line is
y-y1 = m(x-x1)
y-2 = 2/3(x-3)
Distribute
y-2 = 2/3x -2
Add 2 to each side
y-2+2 = 2/3x -2+2
y = 2/3x
This is a direct variation function
Let x = -6
y = 2/3(-6)
y = -4
(-6,-4)
Answer:
33.4933 ≈ 33.5 mm³
Step-by-step explanation:
Given that,
→ Radius (r) = 2 mm
Formula we use,
→ 4/3 πr³
Let's solve for the volume of sphere,
→ 4/3 πr³
→ 4/3 × 3.14 × 2 × 2 × 2
→ 4/3 × 3.14 × 8
→ 4/3 × 25.12
→ 100.48/3
→ 33.4933
→ [ ≈ 33.5 mm³ ]
Hence, volume of sphere is 33.5 mm³.
16x^2 − 8x + 1 = 0
<span>Part A:
</span>b^2 - 4ac for ax^2 + bx + c
16x^2 − 8x + 1 = 0
so in this case,
a = 16, b = -8, c = 1
b^2 - 4ac
=(-8)^2 - (4 * 16* 1)
= 64 - 64
= 0
because it's equal 0, answer is one solution
Part B:
<span>4x^2 − 8x − 45 = 0
</span><span>solve the equation by factoring </span>
= (2x - 9)(2x + 5)
set (2x - 9)(2x + 5) equal to 0 to solve for x
so
(2x - 9)(2x + 5) = 0
2x - 9 = 0
x = 9/2
x = 4.5
2x + 5 = 0
x = -5/2
x = -2.5
answer
x = -2.5 or x = 4.5
Hope it helps
