Answer:
Length of diagonal line from 1 to 2 =17.3 cm
Mass= 124.57 grams =0.12457 kg
Weight=1.22 Newton
Step-by-step explanation:
Sides of cube = s=10cm
First take the bottom of cube we can get right angle triangle
And using Pythagoras theorem
By solving
Now taking the triangle formed between point 1 and 2 we get
=17.3
Density=2.1 gram per cubic inch
Density = mass/volume
As sides=10 cm=3.9 inch
Volume of cube ==59.3 cubic inch
Mass=Density X Volume
Mass= 2.1 X 59.3=124.57 grams =0.12457 kg
Weight = mass X g
As
Weight = 0.12457 X 9.8 =1.22 Newton
Answer:
7.21
Step-by-step explanation:
Given that:
P1=(-1,3) and P2=(5,-1)
Distance between two points :
d = Sqrt[(x2 - x1)² + (y2 - y1)²]
x1 = - 1 ; y1 = 3
x2 = 5 ; y2 = - 1
d = Sqrt[(5 - (-1))² + ((-1) - 3)²]
d = Sqrt[(5 + 1)² + (-1 - 3)²]
d = sqrt[(6)^2 + (-4)^2]
d = sqrt(36 + 16)
d = sqrt(52)
d = 7.21
Answer:
D
Used a graphing calculator.
Answer:
(x+3)(x+7)
Step-by-step explanation:
It is how it works sorry for no explanation
Answer:
See the explanation.
Step-by-step explanation:
We are given the function f(x) = x² + 2x - 5
Zeros :
If f(x) = 0 i.e. x² + 2x - 5 = 0
The left hand side can not be factorized. Hence, use Sridhar Acharya formula and
and
⇒ x = -3.45 and 1.45
Y- intercept :
Putting x = 0, we get, f(x) = - 5, Hence, y-intercept is -5.
Maximum point :
Not defined
Minimum point:
The equation can be expressed as (x + 1)² = (y + 5)
This is an equation of parabola having the vertex at (-1,-5) and axis parallel to + y-axis
Therefore, the minimum point is (-1,-5)
Domain :
x can be any real number
Range:
f(x) ≥ - 6
Interval of increase:
Since this is a parabola having the vertex at (-1,-5) and axis parallel to + y-axis.
Therefore, interval of increase is +∞ > x > -1
Interval of decrease:
-∞ < x < -1
End behavior :
So, as x tends to +∞ , then f(x) tends to +∞
And as x tends to -∞, then f(x) tends to +∞. (Answer)