Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 = (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.
The vertex is (2,-1). Thats your answer.
Answer:
1. 0.875 2. 0.666… 3. 2.25 4. 0.8333…
Step-by-step explanation:
The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number. Hope you get it! :)
Answer:
(a) 0.018 dm^3
(b) 20 x 10^15 ml^3
Step-by-step explanation:
a) 18 cm^3 to dm^3
1 cm = 0.1 dm
So,
1 cm^3 = 0.001 dm^3
So, 18 cm^3 = 18 x 0.001 dm^3 = 0.018 dm^3
b) 20 hl^3 to ml^3
1 hl = 100000 ml
So, 1 hl^3 = 10^15 ml^3
So,
20 hl^3 = 20 x 10^15 ml^3.
