Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.
<h3>Variation</h3>
y = k × x
where,
k = constant of proportionality
y = -40
x = -5
y = k × x
-40 = k × -5
-40 = -5k
k = -40/-5
k = 8
when,
y = 8 and x = 2.5
y = k × x
8 = k × 2.5
8 = 2.5k
k = 8/2.5
k = 3.2
when,
y = 5 and x = 4
y = k × x
5 = k × 4
5 = 4k
k = 5/4
k = 1.25
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Well, one year is 365 days, and a leap year is every 4 years with an extra day, making leap years 366 days. 2016 is the nearest leap year. So, We take 365 from 1001 to get 636 days. Now it is January 1st 2016. So, subtract 366 from 636 to get 270 days. It is now January 1st 2017. There are 31 days in December, 30 in November, and 31 in October. Adding these together, you get 92. Subtracting 92 from 365, we get 273. So three days before October 1st is when you end. There are 30 days in September, so taking three away gives us the night of the 27th of September, 2017. So, the date you finish, if staying on a schedule of reading a bit each night, would be the night of September 27th, 2017, which is a Wednesday.
Answer:
f(x) = x² - 2x - 15
Step-by-step explanation:
∵ The function intersect x-axis at -3 and 5
∴ f(x) = 0 at x = -3 , 5
∵ The form of the quadratic equation is ⇒ ax² + -b/a x + c/a = 0
ax² - b/a x + c/a = 0
Where the sum of its roots is b/a and their multiplication is c/a
∵ a = 1
∵ -3 , 5 are the roots of the quadratic equation
∴ b = -3 + 5 = 2
∴ c = -3 × 5 = -15
∴ f(x) = x² - 2x - 15
Answer:
x = 70°
Step-by-step explanation:
The given triangle has 2 equal sides and is therefore isosceles.
The base angles are equal, both 55°
To find x subtract the sum of the 2 angles from 180
x = 180° - (55 + 55)° = 180° - 110° = 70°
Answer:
Step-by-step explanation:
Using sines law for triangles,
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Now sum of angles a Δ is 180°
A+B+C=180°
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hope it helps..
have a great day!!
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