The slope is about 2.6667, the angle is almost 70° and the distance is 8.5 ish maybe even a little less
Answer:
a) answered in the image attached
b) y=2.75x+3.50
c) y=2.75(5)+3.50
y=17.25
24. 8x3=24
12x2=24
It would be 6/24 (3/12) and 9/24 (3/8)
Answer:
Step-by-step explanation:
We would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes
JK² = JL² + KL² - 2(JL × KL)Cos10
JK² = 61² + 53² - 2(61 × 53)Cos10
JK² = 3721 + 2809 - 6466Cos10
JK² = 6530 - 6367.767
JK² = 162.233
Taking square root of both sides of the equation, it becomes
JK = √162.233
JK = 12.73 to the nearest tenth
Answer:
k = 3
Step-by-step explanation:
If p-1 is a factor of p⁴+p²+p-k, then we can express the polynomial in form
p⁴+p²+p-k = (p-1) * (ap³ + bp² + cp + d)
where a,b,c,d are constants. The important thing is that we can subst in p = 1 to make the polynomial zero. We can do this for original polynomial. WE must have to equal to 0 when we use p = 1 substitution...
1⁴+1²+1-k = 0
3 - k = 0
k = 3
