Answer:
<h2>
m = ¹/₁₄</h2>
Step-by-step explanation:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = -14x - 1 ⇒ m₁ = -14
-14×m₂ = -1 ⇒ m₂ = ¹/₁₄
So, the slope of a line perpendicular to the line y = -14x - 1 is m = ¹/₁₄
Answer:
$=s*1.06 (s+s*.06)
Step-by-step explanation:
You need to multiply be the cost of the shoes (1*s) and the cost of tax (.06) which is the same as multiplying by 1.06
Answer: 24, 24, 47
<u>Step-by-step explanation:</u>
In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations.
a + b > c & a + c > b & b + c > a
23 + 28 = 51 which is NOT greater than 55
15 + 30 = 45 which is NOT greater than 45
8 + 17 = 25 which is NOT greater than 25
24 + 24 > 47 & 24 + 47 > 24 & 24 + 24 > 27
all combinations are true so these side lengths can form a triangle
Answer:
Try D) rotation 180 degrees about the origin.
Step-by-step explanation:
When you look at it, it appears to move 180 degrees about that origin.
Hope this helps! Let me know!
The roots of the polynomial <span><span>x^3 </span>− 2<span>x^2 </span>− 4x + 2</span> are:
<span><span>x1 </span>= 0.42801</span>
<span><span>x2 </span>= −1.51414</span>
<span><span>x3 </span>= 3.08613</span>
x1 and x2 are in the desired interval [-2, 2]
f'(x) = 3x^2 - 4x - 4
so we have:
3x^2 - 4x - 4 = 0
<span>x = ( 4 +- </span><span>√(16 + 48) </span>)/6
x_1 = -4/6 = -0.66
x_ 2 = 2
According to Rolle's theorem, we have one point in between:
x1 = 0.42801 and x2 = −1.51414
where f'(x) = 0, and that is <span>x_1 = -0.66</span>
so we see that Rolle's theorem holds in our function.
