Answer:
(p+2)(p-2)(p²+4)
Step-by-step explanation:
The binomial p⁴-16 is a difference of squares. This is because p⁴ is a perfect square, as is 16. This means we can write it as the sum of the square roots multiplied by the difference of the square roots:
(p²+4)(p²-4)
The first binomial, p²+4, cannot be factored any further.
The second binomial, p²-4, is another difference of squares, since p² is a perfect square, as is 4:
(p+2)(p-2)
This gives us
(p²+4)(p+2)(p-2)
Answer:
3
Step-by-step explanation:
the slope of the line is 3
This statement is false because if the factor of dilatation is 3, the new coordinates should be 3 times the original ones. So the new point shoud be (15,12)
Answer:
x = 30
m<2 = 94°
m<3 = 94°
Step-by-step explanation:
✔️m<2 = m<3 (vertical angles)
4x - 26 = 3x + 4 (substitution)
Collect like terms
4x - 3x = 26 + 4
x = 30
✔️m<2 = 4x - 26
Plug in the value of x
m<2 = 4(30) - 26
m<2 = 94°
✔️m<3 = 3x + 4
m<3 = 3(30) + 4
m<3 = 94
Answer:
<h2>y = 3</h2>
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The formula of a slope:
We have two points A(4, 3) and B(-1, 3).
Substitute:
The slope <em>m = 0</em>, therefore it's a horizontal line.
The equation of a horizontal line:
<em>where </em><em>a</em><em> is any real number</em>
The line passes through points A and B, where ordinates are equal 3.
Therefore the equation is
