Explain:The sum of the squares of two numbers is 8 . The product of the two numbers is 4. Find the numbers.
i hope this helps abit
Answer:
perpendicular
Step-by-step explanation:
separate the two equations
First equation in the form y=mx+c
4y=2x+3z
y=1/2x+3/4z
second equation in the form y=mx+c
8y=3-5x-10z
y=3/8-5/8x-10/8z
Answer:
100
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Answer:
see explanation
Step-by-step explanation:
To solve the given quadratic equations, equate to zero, factorise and solve
given
x² - 19x + 48 = 0
Consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (- 19)
The required factors are - 3 and - 16, hence
(x - 3)(x - 16) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 16 = 0 ⇒ x = 16
----------------------------------------------------------------
given
x² + 21x - 100 = 0
Consider the factors of the constant term (- 100) which sum to give the coefficient of the x- term (+ 21)
The required factors are + 25 and - 4, hence
(x + 25)(x - 4) = 0
x + 25 = 0 ⇒ x = - 25
x - 4 = 0 ⇒ x = 4
Answer:
See below in bold,.
Step-by-step explanation:
There are 30-17 = 13 boys in the class.
a. Prob(First is a boy ) = 13/30 and Prob( second is a boy = 12/29).
As these 2 events are independent:
Prob( 2 boys being picked) = 13/30 * 12/29 = 26/145 or 0.179 to the nearest thousandth.
b. By a similar method to a:
Prob ( 2 girls being picked) = 17/30 * 16/29 = 136/435 = 0.313 to the nearest thousandth.
c. Prob (First student is a boy and second is a girl) = 13/30 * 17/29 = 221/870.
Prob ( first student is a girl and second is a boy) = 17/30 * 13/29 = 221/870
These 2 events are not independent so they are added:
Prob( one of the students is a boy) = 2 (221/870 = 221/435 = 0.508 to the nearest thousandth.
