The first step for solving this problem is to write 19p as a sum.
p² + 15p + 4p + 60
Factor out p from the expression.
p × (p + 15) + 4p + 60
Now factor out 4 from the expression.
p × (p + 15) + 4(p + 15)
Lastly,, factor out p + 15 from the expression to find your final answer.
(p + 4) × (p + 15)
This means that the correct answer to your question is (p + 4) × (p + 15),, or option A.
Let me know if you have any further questions.
:)
<h2>
Answer:</h2>
a. <-13/2,-13/2>
<h2>
Step-by-step explanation:</h2>
The projection of a vector u onto another vector v is given by;
= 
----------------(i)
Where;
u.v is the dot product of vectors u and v
|v| is the magnitude of vector v
Given:
u = <-6, -7>
v = <1, 1>
These can be re-written in unit vector notation as;
u = -6i -7j
v = i + j
<em>Now;</em>
<em>Let's find the following</em>
(i) u . v
u . v = (-6i - 7j) . (i + j)
u . v = (-6i) (1i) + (-7j)(1j) [Remember that, i.i = j.j = 1]
u . v = -6 -7 = -13
(ii) |v|
|v| = 
|v| = 
<em>Substitute these values into equation (i) as follows;</em>
= ![[\frac{-13}{(\sqrt{2}) ^2}][i + j]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B-13%7D%7B%28%5Csqrt%7B2%7D%29%20%5E2%7D%5D%5Bi%20%2B%20j%5D)
= ![\frac{-13}{2} [i + j]](https://tex.z-dn.net/?f=%5Cfrac%7B-13%7D%7B2%7D%20%5Bi%20%2B%20j%5D)
This can be re-written as;
= 
= 
Answer:
1/6 < 1/2
Step-by-step explanation:
The larger the denominator, the smaller that fraction would be. Both of the numerators are equal, so we don't have to worry about that. Since 6 is larger than 2, we know that 1/2 is larger than 1/6. hope I helped:))
Answer:
<h2>(3x + 4)²</h2>
Step-by-step explanation:
1) Your number = x
2) Multiply it by 3 = 3x
3) Add 4 = 3x + 4
4) Square the result (quantity square) = (3x + 4)²
<em>I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!</em>
