Since the distance of MN is 31 and we have a distance of ML
of h -15 and LN of 2h – 8, therefore
ML + LN = h -15 + 2h – 8 = 31
h = 18
substituting the value of h to the expression for LN
obtaining
LN = 2h – 8
LN = 2(18) – 8
LN = 28
Therefore the length of the segment LN is 28 units
The rates that are equivalent to this rate is 90 pages/hr
<h3>Rate of change</h3>
The rate is the number of pages Michael read in 1 hour.
If he read 135 pages in 1 1/2 hours then;
To determine the rate, we will have:
Divide both expressions:
135/x = 1.5/1
1.5x = 135
x = 135/1.5
x = 90
Hence the rates that are equivalent to this rate is 90 pages/hr
Learn more on rate here: brainly.com/question/119866
Step-by-step explanation:
⅔ + ¾
→ make the denominator equal of both the fraction
= 2/3 × 4/4 = 8/12
= 3/4 × 3/3 = 9/12
hence,
8/12 + 9/12
= 8 + 9/12 = 17/12
<em><u>hope</u></em><em><u> this</u></em><em><u> answer</u></em><em><u> helps</u></em><em><u> you</u></em><em><u> dear</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>take </u></em><em><u>care</u></em>
I think x equals 54
Hope this helps
Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
