Answer:
Step-by-step explanation:
According to the Factor Theorem, a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.
We have the polynomial:
And we want to find the value of <em>K</em> such that (<em>x</em> + 1) is a factor.
We can rewrite our factor as (<em>x</em> - (-1)). Thus, <em>a</em> = -1.
Then in orer for (<em>x</em> + 1) to be a factor, P(-1) must equal 0. Hence:
Simplify:
Solve for <em>K. </em>Hence:
Answer: 15x^2+6xy
Step-by-step explanation: 3x(6y−4y+5x)
(3x)(6y+−4y+5x)
(3x)(6y)+(3x)(−4y)+(3x)(5x)
18xy−12xy+15x^2
15x^2+6xy
Answer:
Option B is correct
It must be a positive number since it represents a number of hours.
Step-by-step explanation:
As per the statement:
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
__________________________________________________________
Given the equation as:
Using distributive property,
Combine like terms;
Subtract 40 from both sides we have;
Divide both sides by -8 we have;
h = 14 hours
__________________________________________________________
Therefore, the statement is true about Pieter’s solution is, It must be a positive number since it represents a number of hours.
tan is really sin/cos and cot is really cos/sin so just put what they really mean in their place to make it ----> sin 0/cos 0 + cos0/sin 0 = sec 0 csc 0 then sec 0 is really 1/sin 0 and csc 0 is really 1/cos 0 so you just sove by cross multiply and multiply bottom together to get sin^2 0 + cos^2 0/sin 0 cos 0 then simplify to get 1/sin 0 cos 0 which is really 1/sin 0 1/cos 0 = sec 0 csc 0. ㄒɦĄŊĸ ĦØφĒ ĮŤ ɧėŁP ♡✧♡
Answer:
A. B = 64.13° or B' = 115.87°
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, so there are two possible solutions using the Law of Sines. Either way, we have ...
sin(B)/16 = sin(θ)/15.4
B = arcsin(16/15.4·sin(60°)) ≈ arcsin(0.899767)
B = 64.13° or B' = 180° -64.13° = 115.87°
